Voting simulation output data Warren D. Smith March 2001 Includes "voter ignorance" data at the end Seeding with 30144321 drand48 0.457242 0.391836 0.174704 0.877602 0.490785 drand48 0.044204 0.351423 0.389293 0.552695 0.060090 random 60ba0387 25b4740 2c33ef14 687b474e 6d05a810 random 1438a8df 5ec88e96 59f7fc21 283c8d82 77595c3b random 332ed1df 6c9b31c6 cdc9b55 23a4ccfc 41cd75d7 random 1f3f1830 2e6aa569 5dfc41c8 1a1de3d1 38e572df RAND_MAX 7fffffff Coveyou e5663df9 464da633 87bf7044 832daf19 33a787 Coveyou ded234b2 aad4fdf9 d123fe03 a915a1e5 1ef5231d Coveyou fe06ef25 71f75ad5 929acdda a9ea25de b2b6a1bd Coveyou 71834a8b 4e1395c5 7fa0ec90 63fe8de2 2bef27a3 Coveyou 137ac265 80dc8b3 d6534bdb 28534572 f6b199bd Coveyou 29a3cde4 ae33c584 a8542f38 b86b1ebd 6b02a944 ParkMiller 6c255c83 3a9404b7 1c85d99d 5c484194 671372f3 ParkMiller 1ba83365 6750338c 38ded2da 7e445817 58cf807c myrand 0.021674 0.299350 0.897337 0.491409 0.183302 myrand 0.834667 0.428840 0.731947 0.086667 0.973898 myrand 0.361272 0.873451 0.691954 0.178545 0.867566 myrand 0.447294 0.421368 0.696601 0.309444 0.130109 systems ------- (Baseline=Best-summed-utility winner; regret=0) 0. Honest range voting (scaled utility vote) 1. Honest Borda 2. Honest Condorcet Least-Reversal (LR) 3. Honest Coombs STV (most least-liked candid eliminated each round) 4. Honest Hare Single Transferable Vote STV (least most-liked canddt eliminated) 5. Honest Copeland (winner of most pairwise elections) 6. Honest Dabagh point-and-a-half 7. Honest Black (if no Condorcet winner use Borda) 8. Honest Bucklin 9. Honest plurality + runoff for 2 top finishers 10. Honest plurality (1 vote for max-utility canddt) 11. Honest bullet (1 vote against min-utility cand) 12. Majority vote on random candidate pair 13. Random dictator (chosen from voters) dictates winner 14. Random winner 15. Worst-summed-utility winner 16. Honest approval (using threshhold=average candidate utility) 17. Strategic range/approval (average of 2 frontrunner utils as thresh) 18. Rational range/approval (threshhold=moving average) 19. Rational plurality (vote for 1 of 2 frontrunners) 20. Strategic Borda I (1 frontrunner top, 1 bottom, rest recursively) 21. Rational bullet (vote against 1 of 2 frontrunners) 22. Strategic Condorcet LR (strat same as 26) 23. Strategic Hare STV (strat same as 26) 24. Rational Borda (1 frontrunner max, 1 min, rest using moving avg to decide if max or min vote) 25. Strategic Coombs STV (strat same as 26) 26. Strategic Borda II (1 frontrunner max, 1 min vote, rest honest) 27. Rational Dabagh point-and-a-half (moving avg) 28. Strategic Copeland (strat same as 26) 29. Strategic Black (same strat as 26) Random 0-1 Utilities. (0 issues.) 5 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02779 0.06915 RaS2/1 differ: 0.00000 0.00000 0.09726 0.21390 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.05357 0.04383 0.03065 0.02230 1 | 0.05357 0.07258 0.06980 0.06452 2 | 0.05357 0.07743 0.08802 0.09275 3 | 0.05357 0.08614 0.10237 0.11397 4 | 0.05357 0.08609 0.11485 0.14126 5 | 0.05357 0.08032 0.09260 0.09785 6 | 0.05357 0.07258 0.09277 0.12277 7 | 0.05357 0.07453 0.07807 0.07725 8 | 0.05357 0.08031 0.11286 0.12626 9 | 0.05357 0.09771 0.13574 0.17834 10 | 0.05357 0.13235 0.17480 0.21641 11 | 0.05357 0.15562 0.26081 0.35145 12 | 0.05357 0.23641 0.35426 0.43979 13 | 0.19929 0.29906 0.36688 0.41902 14 | 0.36605 0.54893 0.66695 0.75220 15 | 0.73193 1.09806 1.33394 1.50472 16 | 0.05357 0.07645 0.09985 0.11654 17 | 0.05357 0.11165 0.14672 0.17153 18 | 0.05357 0.11165 0.14688 0.17058 19 | 0.05357 0.23649 0.35431 0.43989 20 | 0.05357 0.23649 0.29675 0.34882 21 | 0.05357 0.52212 0.64827 0.73812 22 | 0.05357 0.23649 0.35431 0.43989 23 | 0.05357 0.23649 0.35431 0.43989 24 | 0.05357 0.23649 0.32533 0.35347 25 | 0.05357 0.23649 0.33540 0.32974 26 | 0.05357 0.39282 0.51075 0.59612 27 | 0.05357 0.23649 0.35431 0.43989 28 | 0.05357 0.23649 0.35431 0.43989 29 | 0.05357 0.23649 0.35431 0.43989 5 RandUtil[4cand] 0.03065 0.17480 5.702 0.14688 0.35431 2.412 Issue Based Utilities (1 Issue). 5 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02796 0.07003 RaS2/1 differ: 0.00000 0.00000 0.10222 0.22644 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.03076 0.02763 0.02170 0.01791 1 | 0.03076 0.04250 0.04201 0.03995 2 | 0.03076 0.04457 0.05073 0.05347 3 | 0.03076 0.04996 0.05955 0.06632 4 | 0.03076 0.04963 0.06532 0.07913 5 | 0.03076 0.04614 0.05322 0.05629 6 | 0.03076 0.04250 0.05465 0.07093 7 | 0.03076 0.04303 0.04546 0.04538 8 | 0.03076 0.04646 0.06624 0.07467 9 | 0.03076 0.05578 0.07615 0.09825 10 | 0.03076 0.07547 0.09794 0.11861 11 | 0.03076 0.09405 0.15482 0.20670 12 | 0.03076 0.13534 0.20263 0.25128 13 | 0.11408 0.17097 0.20866 0.23677 14 | 0.20917 0.31371 0.38106 0.42954 15 | 0.41836 0.62749 0.76195 0.85920 16 | 0.03076 0.04654 0.06295 0.07531 17 | 0.03076 0.06569 0.08812 0.10439 18 | 0.03076 0.06569 0.08819 0.10402 19 | 0.03076 0.13529 0.20258 0.25127 20 | 0.03076 0.13529 0.17106 0.20107 21 | 0.03076 0.29829 0.37018 0.42141 22 | 0.03076 0.13529 0.20258 0.25127 23 | 0.03076 0.13529 0.20258 0.25127 24 | 0.03076 0.13529 0.18782 0.20598 25 | 0.03076 0.13529 0.19227 0.19095 26 | 0.03076 0.22454 0.29173 0.34049 27 | 0.03076 0.13529 0.20258 0.25127 28 | 0.03076 0.13529 0.20258 0.25127 29 | 0.03076 0.13529 0.20258 0.25127 Issue Based Utilities (2 Issues). 5 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02820 0.07061 RaS2/1 differ: 0.00000 0.00000 0.10461 0.23218 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.02308 0.02156 0.01764 0.01505 1 | 0.02308 0.03218 0.03222 0.03104 2 | 0.02308 0.03354 0.03815 0.04023 3 | 0.02308 0.03764 0.04491 0.05002 4 | 0.02308 0.03733 0.04877 0.05852 5 | 0.02308 0.03466 0.03996 0.04230 6 | 0.02308 0.03218 0.04141 0.05322 7 | 0.02308 0.03241 0.03438 0.03450 8 | 0.02308 0.03497 0.05013 0.05680 9 | 0.02308 0.04175 0.05650 0.07211 10 | 0.02308 0.05635 0.07245 0.08697 11 | 0.02308 0.07162 0.11694 0.15532 12 | 0.02308 0.10071 0.15064 0.18672 13 | 0.08475 0.12717 0.15477 0.17516 14 | 0.15527 0.23293 0.28274 0.31893 15 | 0.31051 0.46580 0.56557 0.63782 16 | 0.02308 0.03571 0.04886 0.05904 17 | 0.02308 0.04969 0.06702 0.07983 18 | 0.02308 0.04969 0.06711 0.07965 19 | 0.02308 0.10074 0.15062 0.18684 20 | 0.02308 0.10074 0.12765 0.15009 21 | 0.02308 0.22147 0.27484 0.31279 22 | 0.02308 0.10074 0.15062 0.18684 23 | 0.02308 0.10074 0.15062 0.18684 24 | 0.02308 0.10074 0.14020 0.15451 25 | 0.02308 0.10074 0.14308 0.14289 26 | 0.02308 0.16676 0.21670 0.25293 27 | 0.02308 0.10074 0.15062 0.18684 28 | 0.02308 0.10074 0.15062 0.18684 29 | 0.02308 0.10074 0.15062 0.18684 Issue Based Utilities (3 Issues). 5 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02839 0.07114 RaS2/1 differ: 0.00000 0.00000 0.10572 0.23535 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.01914 0.01818 0.01514 0.01311 1 | 0.01914 0.02676 0.02697 0.02616 2 | 0.01914 0.02779 0.03168 0.03343 3 | 0.01914 0.03119 0.03726 0.04159 4 | 0.01914 0.03089 0.04027 0.04812 5 | 0.01914 0.02870 0.03315 0.03511 6 | 0.01914 0.02676 0.03446 0.04405 7 | 0.01914 0.02688 0.02863 0.02880 8 | 0.01914 0.02899 0.04168 0.04730 9 | 0.01914 0.03451 0.04651 0.05906 10 | 0.01914 0.04641 0.05956 0.07110 11 | 0.01914 0.05944 0.09673 0.12793 12 | 0.01914 0.08285 0.12380 0.15337 13 | 0.06965 0.10447 0.12702 0.14347 14 | 0.12737 0.19101 0.23202 0.26159 15 | 0.25479 0.38209 0.46396 0.52331 16 | 0.01914 0.02975 0.04095 0.04978 17 | 0.01914 0.04118 0.05569 0.06650 18 | 0.01914 0.04118 0.05576 0.06640 19 | 0.01914 0.08282 0.12374 0.15342 20 | 0.01914 0.08282 0.10503 0.12354 21 | 0.01914 0.18167 0.22551 0.25666 22 | 0.01914 0.08282 0.12374 0.15342 23 | 0.01914 0.08282 0.12374 0.15342 24 | 0.01914 0.08282 0.11540 0.12748 25 | 0.01914 0.08282 0.11759 0.11778 26 | 0.01914 0.13690 0.17786 0.20758 27 | 0.01914 0.08282 0.12374 0.15342 28 | 0.01914 0.08282 0.12374 0.15342 29 | 0.01914 0.08282 0.12374 0.15342 Issue Based Utilities (4 Issues). 5 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02851 0.07143 RaS2/1 differ: 0.00000 0.00000 0.10630 0.23694 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.01666 0.01597 0.01341 0.01169 1 | 0.01666 0.02333 0.02357 0.02299 2 | 0.01666 0.02423 0.02759 0.02919 3 | 0.01666 0.02715 0.03246 0.03623 4 | 0.01666 0.02692 0.03496 0.04174 5 | 0.01666 0.02501 0.02887 0.03064 6 | 0.01666 0.02333 0.03008 0.03831 7 | 0.01666 0.02345 0.02499 0.02522 8 | 0.01666 0.02524 0.03636 0.04132 9 | 0.01666 0.03001 0.04033 0.05111 10 | 0.01666 0.04030 0.05156 0.06143 11 | 0.01666 0.05154 0.08377 0.11068 12 | 0.01666 0.07169 0.10708 0.13268 13 | 0.06024 0.09030 0.10986 0.12404 14 | 0.11007 0.16505 0.20037 0.22600 15 | 0.22008 0.33007 0.40082 0.45205 16 | 0.01666 0.02597 0.03580 0.04360 17 | 0.01666 0.03576 0.04843 0.05790 18 | 0.01666 0.03576 0.04851 0.05785 19 | 0.01666 0.07165 0.10714 0.13268 20 | 0.01666 0.07165 0.09102 0.10698 21 | 0.01666 0.15700 0.19493 0.22171 22 | 0.01666 0.07165 0.10714 0.13268 23 | 0.01666 0.07165 0.10714 0.13268 24 | 0.01666 0.07165 0.09999 0.11051 25 | 0.01666 0.07165 0.10178 0.10209 26 | 0.01666 0.11837 0.15379 0.17930 27 | 0.01666 0.07165 0.10714 0.13268 28 | 0.01666 0.07165 0.10714 0.13268 29 | 0.01666 0.07165 0.10714 0.13268 Random-Normal(0,1) Utilities (infinite issue limit). 5 voters. Each regret datapoint averages 19999999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02992 0.07273 RaS2/1 differ: 0.00000 0.00000 0.10800 0.24105 Count: 1e+08 1e+08 1e+08 1e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.20378 0.19545 0.16673 0.14293 1 | 0.20378 0.27870 0.27967 0.27083 2 | 0.20378 0.29463 0.33559 0.35606 3 | 0.20378 0.32356 0.38666 0.43632 4 | 0.20378 0.32351 0.41541 0.49707 5 | 0.20378 0.30423 0.35077 0.37371 6 | 0.20378 0.27870 0.36014 0.45274 7 | 0.20378 0.28506 0.30298 0.30517 8 | 0.20378 0.30430 0.43908 0.50196 9 | 0.20378 0.36202 0.48002 0.61424 10 | 0.20378 0.47716 0.60084 0.72327 11 | 0.20378 0.55407 0.88758 1.19102 12 | 0.20378 0.82256 1.21642 1.52902 13 | 0.69743 1.03091 1.24228 1.42292 14 | 1.26160 1.86023 2.24363 2.57437 15 | 2.52293 3.72044 4.48617 5.14814 16 | 0.20378 0.30809 0.41390 0.50062 17 | 0.20378 0.41668 0.55670 0.66442 18 | 0.20378 0.41668 0.55729 0.66293 19 | 0.20378 0.83326 1.24698 1.54763 20 | 0.20378 0.83326 1.04730 1.23519 21 | 0.20378 1.77192 2.18425 2.52626 22 | 0.20378 0.83326 1.24698 1.54763 23 | 0.20378 0.83326 1.24698 1.54763 24 | 0.20378 0.83326 1.15402 1.27965 25 | 0.20378 0.83326 1.17535 1.16742 26 | 0.20378 1.38395 1.82048 2.09833 27 | 0.20378 0.83326 1.24698 1.54763 28 | 0.20378 0.83326 1.24698 1.54763 29 | 0.20378 0.83326 1.24698 1.54763 Seeding with 31144302 drand48 0.578481 0.350059 0.706782 0.954627 0.254206 drand48 0.781514 0.752523 0.387622 0.503725 0.610256 random 45e4daa0 7ea4a16d 212fb2f7 4270f49e 1dd4dd72 random 63c53e1d 4947f10d 2b9a4525 50226906 766dac41 random 3c143ac7 47c5bf1b 33182d56 76f22e9c 7511f8ea random 1fd4d975 1391c410 56e89b1b d5d1581 71bc8d25 RAND_MAX 7fffffff Coveyou fd701339 6eb9b9a3 374a2044 638f4e4e 372268 Coveyou a761ed94 38933dd7 e799759 e12f8d4 63d263c9 Coveyou ef7aa2eb b5332c71 baff5df7 282abea e3d81d58 Coveyou 7e7d22aa 6bac33ed 5c01f43e d3e72a46 fecade21 Coveyou 14a040f8 f3a69c40 232f30ff fb6d981 80e21241 Coveyou 1caa5838 7c8e44c9 aeb363d9 681d8f9f 94e107df ParkMiller 50714e3d 2d1548ec 4d3a9a58 45dc4b21 6998e6bd ParkMiller 17e427c5 5a6dba01 1d299e34 4ee640 24bff693 myrand 0.193927 0.940499 0.962336 0.651454 0.272187 myrand 0.756015 0.495775 0.863122 0.685587 0.027563 myrand 0.479563 0.147450 0.805252 0.894030 0.016156 myrand 0.597112 0.572273 0.236240 0.207564 0.474208 Random 0-1 Utilities. (0 issues.) 10 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02778 0.06922 RaS2/1 differ: 0.00000 0.00000 0.09724 0.21383 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.10595 0.06490 0.04582 0.03384 1 | 0.10595 0.10381 0.09901 0.09194 2 | 0.10595 0.14415 0.16157 0.17096 3 | 0.10595 0.15068 0.17934 0.19916 4 | 0.10595 0.16571 0.21044 0.24730 5 | 0.10595 0.12056 0.12375 0.12281 6 | 0.10595 0.10381 0.13643 0.18180 7 | 0.10595 0.14353 0.15796 0.16420 8 | 0.10595 0.17178 0.18279 0.17925 9 | 0.10595 0.15285 0.21610 0.28413 10 | 0.10595 0.17686 0.26249 0.33132 11 | 0.10595 0.22007 0.34030 0.45192 12 | 0.10597 0.36454 0.53138 0.65252 13 | 0.34970 0.52450 0.64182 0.72937 14 | 0.51641 0.77451 0.94104 1.06278 15 | 1.03301 1.54957 1.88282 2.12574 16 | 0.10595 0.10257 0.13106 0.15176 17 | 0.10595 0.16632 0.20484 0.23287 18 | 0.10595 0.16632 0.20410 0.23051 19 | 0.10595 0.36459 0.53122 0.65265 20 | 0.10595 0.36459 0.40953 0.50060 21 | 0.10595 0.77290 0.94045 1.06148 22 | 0.10595 0.36457 0.50008 0.60039 23 | 0.10595 0.36459 0.53122 0.65265 24 | 0.10595 0.36457 0.45807 0.49413 25 | 0.10595 0.36457 0.44398 0.41018 26 | 0.10595 0.56973 0.73619 0.85755 27 | 0.10595 0.36457 0.53105 0.65241 28 | 0.10595 0.36457 0.43024 0.49170 29 | 0.10595 0.36457 0.50008 0.60039 10 RandUtil[4cand] 0.04582 0.26249 5.729 0.20410 0.53122 2.603 Issue Based Utilities (1 Issue). 10 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02794 0.07004 RaS2/1 differ: 0.00000 0.00000 0.10223 0.22642 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.06108 0.04095 0.03253 0.02711 1 | 0.06108 0.06122 0.05995 0.05728 2 | 0.06108 0.08296 0.09320 0.09855 3 | 0.06108 0.08687 0.10390 0.11561 4 | 0.06108 0.09590 0.12169 0.14231 5 | 0.06108 0.06968 0.07228 0.07230 6 | 0.06108 0.06122 0.08094 0.10640 7 | 0.06108 0.08264 0.09132 0.09508 8 | 0.06108 0.10231 0.11048 0.11068 9 | 0.06108 0.08815 0.12207 0.15746 10 | 0.06108 0.10270 0.14836 0.18350 11 | 0.06108 0.13717 0.20869 0.27374 12 | 0.06108 0.20860 0.30395 0.37269 13 | 0.20009 0.30014 0.36555 0.41381 14 | 0.29513 0.44277 0.53764 0.60670 15 | 0.59033 0.88550 1.07558 1.21352 16 | 0.06108 0.06297 0.08345 0.09913 17 | 0.06108 0.09798 0.12326 0.14241 18 | 0.06108 0.09798 0.12280 0.14119 19 | 0.06108 0.20866 0.30371 0.37291 20 | 0.06108 0.20866 0.23619 0.28829 21 | 0.06108 0.44167 0.53716 0.60632 22 | 0.06108 0.20866 0.28636 0.34374 23 | 0.06108 0.20866 0.30371 0.37291 24 | 0.06108 0.20866 0.26471 0.28804 25 | 0.06108 0.20866 0.25500 0.23890 26 | 0.06108 0.32570 0.42079 0.48988 27 | 0.06108 0.20866 0.30362 0.37279 28 | 0.06108 0.20866 0.24744 0.28280 29 | 0.06108 0.20866 0.28636 0.34374 Issue Based Utilities (2 Issues). 10 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02819 0.07065 RaS2/1 differ: 0.00000 0.00000 0.10458 0.23232 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.04573 0.03203 0.02643 0.02280 1 | 0.04573 0.04660 0.04609 0.04458 2 | 0.04573 0.06233 0.07003 0.07406 3 | 0.04573 0.06530 0.07817 0.08698 4 | 0.04573 0.07202 0.09121 0.10643 5 | 0.04573 0.05258 0.05466 0.05497 6 | 0.04573 0.04660 0.06149 0.08022 7 | 0.04573 0.06210 0.06868 0.07156 8 | 0.04573 0.07768 0.08455 0.08539 9 | 0.04573 0.06617 0.09082 0.11610 10 | 0.04573 0.07714 0.11013 0.13506 11 | 0.04573 0.10575 0.15996 0.20823 12 | 0.04576 0.15534 0.22596 0.27700 13 | 0.14870 0.22323 0.27142 0.30658 14 | 0.21915 0.32879 0.39932 0.45043 15 | 0.43835 0.65750 0.79889 0.90080 16 | 0.04573 0.04849 0.06505 0.07796 17 | 0.04573 0.07404 0.09382 0.10911 18 | 0.04573 0.07404 0.09354 0.10830 19 | 0.04573 0.15532 0.22589 0.27681 20 | 0.04573 0.15532 0.17630 0.21509 21 | 0.04573 0.32803 0.39891 0.45017 22 | 0.04573 0.15527 0.21310 0.25543 23 | 0.04573 0.15532 0.22589 0.27681 24 | 0.04573 0.15527 0.19769 0.21605 25 | 0.04573 0.15527 0.19000 0.17923 26 | 0.04573 0.24196 0.31255 0.36377 27 | 0.04573 0.15527 0.22582 0.27672 28 | 0.04573 0.15527 0.18448 0.21082 29 | 0.04573 0.15527 0.21310 0.25543 Issue Based Utilities (3 Issues). 10 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02838 0.07111 RaS2/1 differ: 0.00000 0.00000 0.10566 0.23527 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.03776 0.02702 0.02271 0.01988 1 | 0.03776 0.03875 0.03870 0.03762 2 | 0.03776 0.05156 0.05804 0.06147 3 | 0.03776 0.05402 0.06472 0.07215 4 | 0.03776 0.05959 0.07532 0.08780 5 | 0.03776 0.04361 0.04553 0.04592 6 | 0.03776 0.03875 0.05124 0.06653 7 | 0.03776 0.05138 0.05694 0.05946 8 | 0.03776 0.06433 0.07056 0.07168 9 | 0.03776 0.05470 0.07470 0.09511 10 | 0.03776 0.06376 0.09046 0.11051 11 | 0.03776 0.08806 0.13301 0.17250 12 | 0.03776 0.12772 0.18558 0.22743 13 | 0.12219 0.18317 0.22271 0.25145 14 | 0.17979 0.26979 0.32751 0.36955 15 | 0.35966 0.53950 0.65537 0.73928 16 | 0.03776 0.04055 0.05468 0.06596 17 | 0.03776 0.06136 0.07804 0.09102 18 | 0.03776 0.06136 0.07780 0.09042 19 | 0.03776 0.12763 0.18567 0.22748 20 | 0.03776 0.12763 0.14520 0.17710 21 | 0.03776 0.26929 0.32731 0.36926 22 | 0.03776 0.12759 0.17518 0.21004 23 | 0.03776 0.12763 0.18567 0.22748 24 | 0.03776 0.12759 0.16284 0.17835 25 | 0.03776 0.12759 0.15643 0.14803 26 | 0.03776 0.19864 0.25671 0.29860 27 | 0.03776 0.12759 0.18562 0.22741 28 | 0.03776 0.12759 0.15182 0.17362 29 | 0.03776 0.12759 0.17518 0.21004 Issue Based Utilities (4 Issues). 10 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02855 0.07145 RaS2/1 differ: 0.00000 0.00000 0.10640 0.23694 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.03284 0.02378 0.02013 0.01775 1 | 0.03284 0.03385 0.03386 0.03309 2 | 0.03284 0.04491 0.05059 0.05356 3 | 0.03284 0.04699 0.05634 0.06284 4 | 0.03284 0.05185 0.06546 0.07617 5 | 0.03284 0.03802 0.03978 0.04017 6 | 0.03284 0.03385 0.04472 0.05791 7 | 0.03284 0.04475 0.04966 0.05185 8 | 0.03284 0.05602 0.06162 0.06277 9 | 0.03284 0.04762 0.06483 0.08236 10 | 0.03284 0.05544 0.07834 0.09555 11 | 0.03284 0.07664 0.11550 0.14932 12 | 0.03285 0.11058 0.16065 0.19690 13 | 0.10548 0.15825 0.19252 0.21716 14 | 0.15527 0.23314 0.28318 0.31917 15 | 0.31068 0.46618 0.56631 0.63851 16 | 0.03284 0.03551 0.04790 0.05787 17 | 0.03284 0.05343 0.06803 0.07933 18 | 0.03284 0.05343 0.06780 0.07882 19 | 0.03284 0.11061 0.16057 0.19675 20 | 0.03284 0.11061 0.12573 0.15333 21 | 0.03284 0.23259 0.28286 0.31899 22 | 0.03284 0.11065 0.15158 0.18173 23 | 0.03284 0.11061 0.16057 0.19675 24 | 0.03284 0.11065 0.14116 0.15454 25 | 0.03284 0.11065 0.13541 0.12820 26 | 0.03284 0.17185 0.22180 0.25795 27 | 0.03284 0.11065 0.16053 0.19669 28 | 0.03284 0.11065 0.13147 0.15028 29 | 0.03284 0.11065 0.15158 0.18173 Random-Normal(0,1) Utilities (infinite issue limit). 10 voters. Each regret datapoint averages 11111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02926 0.07277 RaS2/1 differ: 0.00000 0.00000 0.10819 0.24199 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.39581 0.29164 0.24667 0.21567 1 | 0.39581 0.40652 0.40289 0.38976 2 | 0.39581 0.54197 0.61259 0.65092 3 | 0.39581 0.56433 0.67516 0.75297 4 | 0.39581 0.61493 0.76973 0.88869 5 | 0.39581 0.46266 0.48517 0.49022 6 | 0.39581 0.40652 0.53747 0.67977 7 | 0.39581 0.54002 0.60034 0.62824 8 | 0.39581 0.63658 0.73408 0.74649 9 | 0.39581 0.57134 0.77634 0.98694 10 | 0.39581 0.65341 0.92523 1.12427 11 | 0.39581 0.79987 1.19276 1.54708 12 | 0.39586 1.28778 1.86654 2.28862 13 | 1.22000 1.82927 2.22637 2.51602 14 | 1.78276 2.67514 3.25620 3.67639 15 | 3.56825 5.35179 6.50994 7.35529 16 | 0.39581 0.42476 0.56039 0.66834 17 | 0.39581 0.62648 0.78921 0.91658 18 | 0.39581 0.62648 0.78691 0.90946 19 | 0.39581 1.28766 1.86614 2.28861 20 | 0.39581 1.28766 1.45438 1.77437 21 | 0.39581 2.66988 3.25139 3.67402 22 | 0.39581 1.28802 1.76038 2.11166 23 | 0.39581 1.28766 1.86614 2.28861 24 | 0.39581 1.28802 1.63896 1.79653 25 | 0.39581 1.28802 1.57127 1.46799 26 | 0.39581 1.98151 2.56098 2.98252 27 | 0.39581 1.28802 1.86561 2.28784 28 | 0.39581 1.28802 1.52436 1.74300 29 | 0.39581 1.28802 1.76038 2.11166 Seeding with 32144392 drand48 0.411983 0.050049 0.729426 0.832012 0.935080 drand48 0.227285 0.702266 0.147742 0.452849 0.700897 random 7e9da2fa 3da5979a 6695c1c2 31f566e3 3ca9ee6c random 41163a80 66f6648f 4393138c 4ea835e7 1f7ca8b0 random 455d504f 1b03416d 8134354 52c2c1b0 102438a9 random 70cbff 4fef0c79 7a356334 546effb 3e31c1d2 RAND_MAX 7fffffff Coveyou e3b8cc28 d28e2944 eefeca54 6cf0049c 3ab997 Coveyou d3314171 a1e3d5e9 aa2c9b45 5941085e ffea93b0 Coveyou e4b1ec86 15a1117c eeac3a58 250bb320 434354c0 Coveyou efbfa207 37e60cf8 260a2503 e7fa9736 6677dde0 Coveyou c78fecd9 94bffc7e 703a6402 3f206011 18ca5c58 Coveyou 3aee7e7d a520844d cbe75a28 a657c661 69393e20 ParkMiller 554f4ad3 2e002ff0 538efc17 4dd6cc3 229cd8da ParkMiller 42745050 5ad474cd c462037 15f4cfb1 623e3d88 myrand 0.458473 0.783089 0.883243 0.712521 0.160872 myrand 0.867917 0.825959 0.966513 0.521381 0.723407 myrand 0.549244 0.056924 0.304109 0.278062 0.445796 myrand 0.596876 0.808168 0.637546 0.874460 0.205749 Random 0-1 Utilities. (0 issues.) 20 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02779 0.06920 RaS2/1 differ: 0.00000 0.00000 0.09726 0.21391 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.14203 0.09328 0.06659 0.04941 1 | 0.14203 0.14661 0.14023 0.13055 2 | 0.14203 0.18989 0.21179 0.22247 3 | 0.14203 0.21014 0.25329 0.28478 4 | 0.14203 0.21853 0.27591 0.32314 5 | 0.14203 0.17647 0.18645 0.18803 6 | 0.14203 0.14661 0.19632 0.26643 7 | 0.14203 0.18771 0.20312 0.20680 8 | 0.14203 0.26182 0.26740 0.26258 9 | 0.14203 0.21511 0.32407 0.42706 10 | 0.14203 0.26106 0.37712 0.48628 11 | 0.14203 0.29241 0.45289 0.60039 12 | 0.14200 0.50672 0.74236 0.91523 13 | 0.56227 0.84417 1.03011 1.16938 14 | 0.72907 1.09416 1.32965 1.50218 15 | 1.45800 2.18891 2.66019 3.00443 16 | 0.14203 0.14041 0.17883 0.20575 17 | 0.14203 0.22607 0.27907 0.31838 18 | 0.14203 0.22607 0.27853 0.31554 19 | 0.14203 0.50697 0.74282 0.91522 20 | 0.14203 0.50697 0.57875 0.70637 21 | 0.14203 1.09384 1.32964 1.50184 22 | 0.14203 0.50691 0.71089 0.86287 23 | 0.14203 0.50697 0.74282 0.91522 24 | 0.14203 0.50691 0.64678 0.70219 25 | 0.14203 0.50691 0.62443 0.57312 26 | 0.14203 0.79978 1.03564 1.20864 27 | 0.14203 0.50691 0.74282 0.91522 28 | 0.14203 0.50691 0.63935 0.75389 29 | 0.14203 0.50691 0.71089 0.86287 20 RandUtil[4cand] 0.06659 0.37712 5.663 0.27853 0.74282 2.667 Issue Based Utilities (1 Issue). 20 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02794 0.07011 RaS2/1 differ: 0.00000 0.00000 0.10229 0.22652 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.08151 0.05909 0.04728 0.03963 1 | 0.08151 0.08666 0.08505 0.08123 2 | 0.08151 0.10998 0.12242 0.12860 3 | 0.08151 0.12302 0.14885 0.16733 4 | 0.08151 0.12864 0.16316 0.19164 5 | 0.08151 0.10224 0.10851 0.10990 6 | 0.08151 0.08666 0.11824 0.16075 7 | 0.08151 0.10877 0.11786 0.12044 8 | 0.08151 0.16494 0.16315 0.16349 9 | 0.08151 0.12587 0.18616 0.24235 10 | 0.08151 0.15528 0.21994 0.27727 11 | 0.08151 0.19463 0.29287 0.38085 12 | 0.08167 0.29051 0.42507 0.52255 13 | 0.32168 0.48293 0.58735 0.66510 14 | 0.41666 0.62540 0.76005 0.85796 15 | 0.83381 1.25100 1.52057 1.71565 16 | 0.08151 0.08677 0.11448 0.13559 17 | 0.08151 0.13374 0.16848 0.19490 18 | 0.08151 0.13374 0.16822 0.19354 19 | 0.08151 0.29046 0.42512 0.52241 20 | 0.08151 0.29046 0.33403 0.40663 21 | 0.08151 0.62531 0.75988 0.85799 22 | 0.08151 0.29048 0.40734 0.49331 23 | 0.08151 0.29046 0.42512 0.52241 24 | 0.08151 0.29048 0.37440 0.40908 25 | 0.08151 0.29048 0.35886 0.33234 26 | 0.08151 0.45760 0.59251 0.69002 27 | 0.08151 0.29048 0.42512 0.52241 28 | 0.08151 0.29048 0.36724 0.43210 29 | 0.08151 0.29048 0.40734 0.49331 Issue Based Utilities (2 Issues). 20 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02818 0.07069 RaS2/1 differ: 0.00000 0.00000 0.10461 0.23226 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.06130 0.04620 0.03837 0.03321 1 | 0.06130 0.06591 0.06558 0.06340 2 | 0.06130 0.08270 0.09238 0.09720 3 | 0.06130 0.09255 0.11250 0.12679 4 | 0.06130 0.09725 0.12359 0.14484 5 | 0.06130 0.07706 0.08211 0.08365 6 | 0.06130 0.06591 0.09071 0.12252 7 | 0.06130 0.08181 0.08908 0.09132 8 | 0.06130 0.12704 0.12528 0.12672 9 | 0.06130 0.09496 0.13942 0.18044 10 | 0.06130 0.11780 0.16523 0.20590 11 | 0.06130 0.15295 0.22915 0.29546 12 | 0.06121 0.21603 0.31593 0.38851 13 | 0.23903 0.35902 0.43623 0.49292 14 | 0.30986 0.46461 0.56410 0.63688 15 | 0.61908 0.92906 1.12888 1.27339 16 | 0.06130 0.06692 0.08951 0.10664 17 | 0.06130 0.10109 0.12883 0.14947 18 | 0.06130 0.10109 0.12859 0.14856 19 | 0.06130 0.21603 0.31570 0.38859 20 | 0.06130 0.21603 0.24941 0.30346 21 | 0.06130 0.46461 0.56470 0.63678 22 | 0.06130 0.21594 0.30265 0.36700 23 | 0.06130 0.21603 0.31570 0.38859 24 | 0.06130 0.21594 0.27977 0.30694 25 | 0.06130 0.21594 0.26796 0.24894 26 | 0.06130 0.34053 0.44036 0.51243 27 | 0.06130 0.21594 0.31570 0.38859 28 | 0.06130 0.21594 0.27350 0.32196 29 | 0.06130 0.21594 0.30265 0.36700 Issue Based Utilities (3 Issues). 20 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02836 0.07113 RaS2/1 differ: 0.00000 0.00000 0.10566 0.23534 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.05068 0.03912 0.03304 0.02908 1 | 0.05068 0.05499 0.05504 0.05372 2 | 0.05068 0.06842 0.07667 0.08087 3 | 0.05068 0.07664 0.09367 0.10556 4 | 0.05068 0.08056 0.10251 0.11989 5 | 0.05068 0.06378 0.06841 0.06976 6 | 0.05068 0.05499 0.07564 0.10185 7 | 0.05068 0.06772 0.07397 0.07615 8 | 0.05068 0.10621 0.10486 0.10657 9 | 0.05068 0.07873 0.11514 0.14838 10 | 0.05068 0.09768 0.13634 0.16882 11 | 0.05068 0.12867 0.19240 0.24731 12 | 0.05066 0.17769 0.25960 0.31929 13 | 0.19677 0.29487 0.35800 0.40429 14 | 0.25437 0.38136 0.46319 0.52255 15 | 0.50860 0.76264 0.92616 1.04490 16 | 0.05068 0.05613 0.07527 0.09052 17 | 0.05068 0.08399 0.10705 0.12482 18 | 0.05068 0.08399 0.10667 0.12424 19 | 0.05068 0.17783 0.25987 0.31910 20 | 0.05068 0.17783 0.20551 0.24968 21 | 0.05068 0.38107 0.46309 0.52245 22 | 0.05068 0.17782 0.24920 0.30153 23 | 0.05068 0.17783 0.25987 0.31910 24 | 0.05068 0.17782 0.23069 0.25330 25 | 0.05068 0.17782 0.21998 0.20508 26 | 0.05068 0.27927 0.36134 0.42059 27 | 0.05068 0.17782 0.25987 0.31910 28 | 0.05068 0.17782 0.22507 0.26467 29 | 0.05068 0.17782 0.24920 0.30153 Issue Based Utilities (4 Issues). 20 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02855 0.07146 RaS2/1 differ: 0.00000 0.00000 0.10636 0.23694 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.04424 0.03440 0.02930 0.02587 1 | 0.04424 0.04803 0.04818 0.04718 2 | 0.04424 0.05963 0.06683 0.07056 3 | 0.04424 0.06673 0.08139 0.09194 4 | 0.04424 0.07019 0.08925 0.10420 5 | 0.04424 0.05565 0.05967 0.06100 6 | 0.04424 0.04803 0.06612 0.08850 7 | 0.04424 0.05901 0.06456 0.06648 8 | 0.04424 0.09220 0.09134 0.09335 9 | 0.04424 0.06848 0.09991 0.12841 10 | 0.04424 0.08471 0.11806 0.14584 11 | 0.04424 0.11170 0.16753 0.21458 12 | 0.04418 0.15400 0.22481 0.27570 13 | 0.16968 0.25468 0.30941 0.34904 14 | 0.21946 0.32902 0.40012 0.45118 15 | 0.43879 0.65850 0.80013 0.90233 16 | 0.04424 0.04912 0.06602 0.07944 17 | 0.04424 0.07305 0.09325 0.10902 18 | 0.04424 0.07305 0.09308 0.10842 19 | 0.04424 0.15398 0.22467 0.27601 20 | 0.04424 0.15398 0.17782 0.21630 21 | 0.04424 0.32918 0.40039 0.45105 22 | 0.04424 0.15394 0.21553 0.26092 23 | 0.04424 0.15398 0.22467 0.27601 24 | 0.04424 0.15394 0.19981 0.21956 25 | 0.04424 0.15394 0.19075 0.17782 26 | 0.04424 0.24145 0.31256 0.36367 27 | 0.04424 0.15394 0.22467 0.27601 28 | 0.04424 0.15394 0.19472 0.22921 29 | 0.04424 0.15394 0.21553 0.26092 Random-Normal(0,1) Utilities (infinite issue limit). 20 voters. Each regret datapoint averages 4000000 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07281 RaS2/1 differ: 0.00000 0.00000 0.10819 0.24204 Count: 8e+07 8e+07 8e+07 8e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.53469 0.42272 0.36010 0.31494 1 | 0.53469 0.57871 0.57481 0.55535 2 | 0.53469 0.72568 0.81480 0.86252 3 | 0.53469 0.79405 0.95797 1.07711 4 | 0.53469 0.82273 1.02304 1.17777 5 | 0.53469 0.67956 0.73046 0.74739 6 | 0.53469 0.57871 0.77937 1.00042 7 | 0.53469 0.71827 0.78581 0.80965 8 | 0.53469 0.97015 1.07767 1.08976 9 | 0.53469 0.81041 1.17044 1.49779 10 | 0.53469 0.96564 1.33163 1.65272 11 | 0.53469 1.07342 1.59039 2.05767 12 | 0.53392 1.79744 2.61523 3.21571 13 | 1.95923 2.93551 3.57327 4.03939 14 | 2.52064 3.78484 4.60200 5.20291 15 | 5.04318 7.56972 9.20475 10.40568 16 | 0.53469 0.59136 0.77450 0.91993 17 | 0.53469 0.86033 1.08557 1.25974 18 | 0.53469 0.86033 1.08343 1.25395 19 | 0.53469 1.79776 2.61210 3.21247 20 | 0.53469 1.79776 2.05638 2.50607 21 | 0.53469 3.78282 4.60265 5.20146 22 | 0.53469 1.79762 2.50477 3.03666 23 | 0.53469 1.79776 2.61210 3.21247 24 | 0.53469 1.79762 2.32092 2.55673 25 | 0.53469 1.79762 2.21201 2.05458 26 | 0.53469 2.78801 3.61032 4.20800 27 | 0.53469 1.79762 2.61211 3.21247 28 | 0.53469 1.79762 2.26274 2.66717 29 | 0.53469 1.79762 2.50477 3.03666 Seeding with 33144832 drand48 0.110549 0.682321 0.208016 0.316060 0.396761 drand48 0.085545 0.459578 0.491596 0.790350 0.380217 random 669d47d9 699a86e 250874b6 da27de7 1776ce53 random ea3a1bd 414aee44 5230bcb1 62808e4a 7630a9fa random 34dfcec 347be161 2bc8c2b8 63d868e6 1f65af6a random 718c217c 5100b565 71870aa3 589797da 7798d84 RAND_MAX 7fffffff Coveyou b6d6eddc ee2ed01b 55c65f86 7b8596a9 3e75f2 Coveyou 84f0b4e1 92871dc 7e4b1043 9d4ff75b 6c586838 Coveyou 13a45940 10916922 7a0752be 20f05c3d 1fed7627 Coveyou 8702a1a0 91cc90a4 42d74107 ef17ec35 12cbbd3b Coveyou bd8eebbe c60c1245 fe129ace 70b65e75 652a89c3 Coveyou 8243a23 54be8841 313cf575 1d650258 ffef5a7b ParkMiller 5942e5fb 2a117f4d 16eb62d6 2e3efcea 2a636877 ParkMiller 7fb35193 1564d4f0 6cf4ba21 666465f4 7d434eb2 myrand 0.316559 0.086248 0.669328 0.439342 0.929463 myrand 0.803073 0.229405 0.798710 0.804608 0.348505 myrand 0.642381 0.686337 0.550753 0.723723 0.094392 myrand 0.032169 0.261349 0.352198 0.454862 0.847827 Random 0-1 Utilities. (0 issues.) 50 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02777 0.06923 RaS2/1 differ: 0.00000 0.00000 0.09723 0.21391 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.21717 0.14920 0.10698 0.07963 1 | 0.21717 0.23178 0.22162 0.20632 2 | 0.21717 0.28798 0.31886 0.33252 3 | 0.21717 0.32530 0.39674 0.44978 4 | 0.21717 0.33484 0.41945 0.48840 5 | 0.21717 0.29156 0.31541 0.32119 6 | 0.21717 0.23178 0.31617 0.43377 7 | 0.21717 0.28251 0.29962 0.29867 8 | 0.21717 0.44677 0.42220 0.45318 9 | 0.21717 0.33803 0.52782 0.69030 10 | 0.21717 0.41712 0.61238 0.79212 11 | 0.21717 0.45147 0.68729 0.90473 12 | 0.21697 0.79273 1.16579 1.43959 13 | 0.98656 1.47717 1.80166 2.04078 14 | 1.15397 1.72604 2.10012 2.37406 15 | 2.30437 3.45598 4.20400 4.74791 16 | 0.21717 0.21854 0.27654 0.31754 17 | 0.21717 0.34871 0.43117 0.49231 18 | 0.21717 0.34871 0.43077 0.48781 19 | 0.21717 0.79229 1.16710 1.43938 20 | 0.21717 0.79229 0.91210 1.11307 21 | 0.21717 1.72727 2.10066 2.37231 22 | 0.21717 0.79220 1.13429 1.38683 23 | 0.21717 0.79229 1.16710 1.43938 24 | 0.21717 0.79220 1.02379 1.10771 25 | 0.21717 0.79220 1.08817 0.96155 26 | 0.21717 1.25854 1.63363 1.90519 27 | 0.21717 0.79220 1.16710 1.43938 28 | 0.21717 0.79220 1.06169 1.27680 29 | 0.21717 0.79220 1.13429 1.38683 50 RandUtil[4cand] 0.10698 0.61238 5.724 0.43077 1.16710 2.709 Issue Based Utilities (1 Issue). 50 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02795 0.07004 RaS2/1 differ: 0.00000 0.00000 0.10226 0.22649 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.12496 0.09473 0.07592 0.06368 1 | 0.12496 0.13726 0.13479 0.12885 2 | 0.12496 0.16676 0.18501 0.19362 3 | 0.12496 0.19737 0.24409 0.27767 4 | 0.12496 0.20189 0.26085 0.30822 5 | 0.12496 0.16846 0.18346 0.18741 6 | 0.12496 0.13726 0.20312 0.29160 7 | 0.12496 0.16368 0.17492 0.17579 8 | 0.12496 0.32347 0.25906 0.29019 9 | 0.12496 0.20490 0.31704 0.41233 10 | 0.12496 0.27167 0.39617 0.50163 11 | 0.12496 0.33815 0.49072 0.62912 12 | 0.12494 0.45456 0.66650 0.82150 13 | 0.56409 0.84578 1.02892 1.16274 14 | 0.66038 0.98676 1.20017 1.35442 15 | 1.31888 1.97603 2.40168 2.71053 16 | 0.12496 0.13523 0.17751 0.20922 17 | 0.12496 0.20639 0.26107 0.30192 18 | 0.12496 0.20639 0.26091 0.30018 19 | 0.12496 0.45402 0.66687 0.82189 20 | 0.12496 0.45402 0.52675 0.64086 21 | 0.12496 0.98892 1.19889 1.35440 22 | 0.12496 0.45422 0.64847 0.79274 23 | 0.12496 0.45402 0.66687 0.82189 24 | 0.12496 0.45422 0.59085 0.64581 25 | 0.12496 0.45422 0.61733 0.55759 26 | 0.12496 0.72123 0.93400 1.08761 27 | 0.12496 0.45422 0.66687 0.82189 28 | 0.12496 0.45422 0.60819 0.73148 29 | 0.12496 0.45422 0.64847 0.79274 Issue Based Utilities (2 Issues). 50 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02821 0.07069 RaS2/1 differ: 0.00000 0.00000 0.10457 0.23232 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.09374 0.07403 0.06165 0.05368 1 | 0.09374 0.10418 0.10413 0.10079 2 | 0.09374 0.12534 0.13967 0.14640 3 | 0.09374 0.15060 0.18827 0.21523 4 | 0.09374 0.15432 0.20058 0.23786 5 | 0.09374 0.12655 0.13838 0.14181 6 | 0.09374 0.10418 0.15821 0.22782 7 | 0.09374 0.12308 0.13239 0.13370 8 | 0.09374 0.26157 0.19968 0.22931 9 | 0.09374 0.15620 0.24117 0.31057 10 | 0.09374 0.21097 0.30492 0.37884 11 | 0.09374 0.27689 0.39935 0.50505 12 | 0.09381 0.33858 0.49621 0.61039 13 | 0.41922 0.62885 0.76357 0.86222 14 | 0.48946 0.73396 0.89227 1.00462 15 | 0.97846 1.46825 1.78438 2.01238 16 | 0.09374 0.10419 0.13888 0.16549 17 | 0.09374 0.15654 0.19923 0.23232 18 | 0.09374 0.15654 0.19886 0.23101 19 | 0.09374 0.33825 0.49653 0.61072 20 | 0.09374 0.33825 0.39428 0.47854 21 | 0.09374 0.73421 0.89223 1.00606 22 | 0.09374 0.33834 0.48312 0.58958 23 | 0.09374 0.33825 0.49653 0.61072 24 | 0.09374 0.33834 0.44268 0.48438 25 | 0.09374 0.33834 0.46003 0.41718 26 | 0.09374 0.53630 0.69482 0.80872 27 | 0.09374 0.33834 0.49653 0.61072 28 | 0.09374 0.33834 0.45364 0.54443 29 | 0.09374 0.33834 0.48312 0.58958 Issue Based Utilities (3 Issues). 50 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02839 0.07113 RaS2/1 differ: 0.00000 0.00000 0.10575 0.23530 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.07746 0.06241 0.05310 0.04669 1 | 0.07746 0.08693 0.08740 0.08495 2 | 0.07746 0.10415 0.11612 0.12172 3 | 0.07746 0.12527 0.15788 0.18080 4 | 0.07746 0.12857 0.16725 0.19828 5 | 0.07746 0.10512 0.11517 0.11808 6 | 0.07746 0.08693 0.13229 0.19021 7 | 0.07746 0.10233 0.11017 0.11166 8 | 0.07746 0.22066 0.16709 0.19394 9 | 0.07746 0.13010 0.19975 0.25663 10 | 0.07746 0.17644 0.25199 0.31206 11 | 0.07746 0.23466 0.34183 0.42887 12 | 0.07757 0.27818 0.40787 0.50181 13 | 0.34369 0.51534 0.62674 0.70755 14 | 0.40166 0.60277 0.73176 0.82585 15 | 0.80339 1.20559 1.46358 1.65185 16 | 0.07746 0.08753 0.11710 0.14005 17 | 0.07746 0.12991 0.16593 0.19370 18 | 0.07746 0.12991 0.16558 0.19291 19 | 0.07746 0.27828 0.40755 0.50175 20 | 0.07746 0.27828 0.32393 0.39432 21 | 0.07746 0.60310 0.73205 0.82581 22 | 0.07746 0.27834 0.39662 0.48435 23 | 0.07746 0.27828 0.40755 0.50175 24 | 0.07746 0.27834 0.36423 0.40037 25 | 0.07746 0.27834 0.37732 0.34487 26 | 0.07746 0.44098 0.56942 0.66350 27 | 0.07746 0.27834 0.40755 0.50175 28 | 0.07746 0.27834 0.37237 0.44776 29 | 0.07746 0.27834 0.39662 0.48435 Issue Based Utilities (4 Issues). 50 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02852 0.07146 RaS2/1 differ: 0.00000 0.00000 0.10636 0.23696 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.06768 0.05518 0.04700 0.04170 1 | 0.06768 0.07596 0.07648 0.07472 2 | 0.06768 0.09064 0.10103 0.10623 3 | 0.06768 0.10916 0.13743 0.15769 4 | 0.06768 0.11200 0.14538 0.17221 5 | 0.06768 0.09162 0.10024 0.10307 6 | 0.06768 0.07596 0.11503 0.16443 7 | 0.06768 0.08914 0.09599 0.09753 8 | 0.06768 0.19260 0.14581 0.17109 9 | 0.06768 0.11310 0.17323 0.22231 10 | 0.06768 0.15286 0.21768 0.26800 11 | 0.06768 0.20476 0.29958 0.37487 12 | 0.06776 0.24099 0.35315 0.43322 13 | 0.29769 0.44577 0.54180 0.61041 14 | 0.34720 0.52052 0.63298 0.71220 15 | 0.69422 1.04086 1.26550 1.42635 16 | 0.06768 0.07680 0.10280 0.12306 17 | 0.06768 0.11305 0.14500 0.16891 18 | 0.06768 0.11305 0.14487 0.16824 19 | 0.06768 0.24076 0.35310 0.43401 20 | 0.06768 0.24076 0.28117 0.34125 21 | 0.06768 0.52031 0.63244 0.71249 22 | 0.06768 0.24089 0.34389 0.41908 23 | 0.06768 0.24076 0.35310 0.43401 24 | 0.06768 0.24089 0.31614 0.34702 25 | 0.06768 0.24089 0.32666 0.29771 26 | 0.06768 0.38087 0.49311 0.57322 27 | 0.06768 0.24089 0.35310 0.43401 28 | 0.06768 0.24089 0.32258 0.38715 29 | 0.06768 0.24089 0.34389 0.41908 Random-Normal(0,1) Utilities (infinite issue limit). 50 voters. Each regret datapoint averages 2222222 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07276 RaS2/1 differ: 0.00000 0.00000 0.10821 0.24201 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.82157 0.67776 0.58061 0.50914 1 | 0.82157 0.91496 0.91332 0.88382 2 | 0.82157 1.10806 1.24172 1.30925 3 | 0.82157 1.23519 1.50578 1.70539 4 | 0.82157 1.26292 1.57097 1.80465 5 | 0.82157 1.11890 1.23210 1.26987 6 | 0.82157 0.91496 1.26240 1.63991 7 | 0.82157 1.08892 1.17783 1.19456 8 | 0.82157 1.64147 1.71024 1.85290 9 | 0.82157 1.27523 1.91469 2.44264 10 | 0.82157 1.54501 2.16782 2.70009 11 | 0.82157 1.65783 2.42298 3.09893 12 | 0.81988 2.82098 4.11881 5.06090 13 | 3.42907 5.14124 6.25504 7.06834 14 | 3.99664 5.98798 7.27946 8.23554 15 | 7.98915 11.97894 14.55220 16.45367 16 | 0.82157 0.92637 1.21063 1.42940 17 | 0.82157 1.33534 1.68940 1.95561 18 | 0.82157 1.33534 1.68911 1.94781 19 | 0.82157 2.81876 4.10840 5.06394 20 | 0.82157 2.81876 3.25669 3.96151 21 | 0.82157 5.98993 7.27921 8.23388 22 | 0.82157 2.81949 3.99982 4.88886 23 | 0.82157 2.81876 4.10840 5.06394 24 | 0.82157 2.81949 3.67170 4.04226 25 | 0.82157 2.81949 3.85267 3.44549 26 | 0.82157 4.40293 5.69363 6.64726 27 | 0.82157 2.81949 4.10840 5.06394 28 | 0.82157 2.81949 3.75570 4.51907 29 | 0.82157 2.81949 3.99982 4.88886 Seeding with 34147432 drand48 0.290651 0.839527 0.729022 0.715511 0.791429 drand48 0.689451 0.657893 0.637919 0.181837 0.549668 random 6dcdf038 5a873048 49906083 2687d453 61199d5 random d8353d6 30738dce 3a1822f4 5430a41e 5de31627 random 1e299f8a 51dc3912 67f30a3a 6cc578e6 4720a5c2 random 5ca66149 20dfb1f2 704b757b 6c250941 ca51683 RAND_MAX 7fffffff Coveyou 3ce652be 561fd3f3 109e790b 9628346b 4245a9 Coveyou e1fdf1fc 8b8f1bab 4e24ab4e ee1866a5 d580e3aa Coveyou 87de4fc7 e79ad76e acb151b4 a037d217 3c61a32b Coveyou d58d53e8 df3168 21d1fc95 d7f6b2a4 34e480d3 Coveyou c49c0d5a c0e868a 88de56de d6cd022c 59a4159d Coveyou 14b53eea c41b4aa5 54381f61 10c743e9 4a631410 ParkMiller 53efcad9 34b64f1d 7cd8778c 37ac1ad6 25b5fea7 ParkMiller 599c6975 233b7701 68ac7bc1 2c55fb6e 7bea26dc myrand 0.737790 0.970919 0.604146 0.210783 0.264761 myrand 0.662892 0.118962 0.299384 0.449155 0.084029 myrand 0.304227 0.397698 0.065989 0.291815 0.778856 myrand 0.042602 0.449636 0.254576 0.024584 0.895886 Random 0-1 Utilities. (0 issues.) 100 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02780 0.06923 RaS2/1 differ: 0.00000 0.00000 0.09724 0.21390 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.30193 0.21298 0.15185 0.11304 1 | 0.30193 0.32775 0.31337 0.29121 2 | 0.30193 0.40150 0.44345 0.46143 3 | 0.30193 0.45716 0.56004 0.63740 4 | 0.30193 0.46711 0.58526 0.67738 5 | 0.30193 0.42165 0.46319 0.47285 6 | 0.30193 0.32775 0.45067 0.62331 7 | 0.30193 0.39190 0.41133 0.40552 8 | 0.30193 0.63076 0.59500 0.69605 9 | 0.30193 0.47689 0.75141 0.98648 10 | 0.30193 0.59386 0.87716 1.14054 11 | 0.30193 0.63091 0.95284 1.25001 12 | 0.30239 1.11598 1.64583 2.03016 13 | 1.46657 2.19104 2.67274 3.01801 14 | 1.63114 2.44187 2.97345 3.35334 15 | 3.26259 4.88344 5.94268 6.70940 16 | 0.30193 0.30814 0.38828 0.44416 17 | 0.30193 0.49133 0.60601 0.68928 18 | 0.30193 0.49133 0.60457 0.68345 19 | 0.30193 1.11805 1.64639 2.02589 20 | 0.30193 1.11805 1.29094 1.56996 21 | 0.30193 2.43871 2.96872 3.35176 22 | 0.30193 1.11816 1.61349 1.97470 23 | 0.30193 1.11805 1.64639 2.02589 24 | 0.30193 1.11816 1.44652 1.56552 25 | 0.30193 1.11816 1.62653 1.37106 26 | 0.30193 1.77684 2.30814 2.69072 27 | 0.30193 1.11816 1.64639 2.02589 28 | 0.30193 1.11816 1.54130 1.86639 29 | 0.30193 1.11816 1.61349 1.97470 100 RandUtil[4cand] 0.15185 0.87716 5.776 0.60457 1.64639 2.723 Issue Based Utilities (1 Issue). 100 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02798 0.07002 RaS2/1 differ: 0.00000 0.00000 0.10230 0.22644 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.17480 0.13394 0.10737 0.09081 1 | 0.17480 0.19367 0.19066 0.18253 2 | 0.17480 0.23224 0.25681 0.26826 3 | 0.17480 0.29549 0.36943 0.42249 4 | 0.17480 0.29218 0.38571 0.46310 5 | 0.17480 0.24379 0.26868 0.27511 6 | 0.17480 0.19367 0.32339 0.49043 7 | 0.17480 0.22708 0.24016 0.23933 8 | 0.17480 0.53876 0.36570 0.47150 9 | 0.17480 0.30158 0.47216 0.61871 10 | 0.17480 0.43631 0.65421 0.83006 11 | 0.17480 0.54344 0.75043 0.95040 12 | 0.17446 0.63982 0.94015 1.15840 13 | 0.83678 1.25418 1.52433 1.72365 14 | 0.93066 1.39549 1.69561 1.91722 15 | 1.86286 2.79355 3.39434 3.83194 16 | 0.17480 0.19014 0.24884 0.29327 17 | 0.17480 0.29059 0.36699 0.42384 18 | 0.17480 0.29059 0.36651 0.42137 19 | 0.17480 0.63987 0.94337 1.15694 20 | 0.17480 0.63987 0.74527 0.90650 21 | 0.17480 1.39604 1.69511 1.91611 22 | 0.17480 0.63992 0.92475 1.12821 23 | 0.17480 0.63987 0.94337 1.15694 24 | 0.17480 0.63992 0.83848 0.91391 25 | 0.17480 0.63992 0.92516 0.81469 26 | 0.17480 1.01657 1.31957 1.53666 27 | 0.17480 0.63992 0.94337 1.15694 28 | 0.17480 0.63992 0.88382 1.06726 29 | 0.17480 0.63992 0.92475 1.12821 Issue Based Utilities (2 Issues). 100 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02817 0.07064 RaS2/1 differ: 0.00000 0.00000 0.10454 0.23222 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.13034 0.10558 0.08759 0.07625 1 | 0.13034 0.14814 0.14646 0.14238 2 | 0.13034 0.17568 0.19395 0.20318 3 | 0.13034 0.22987 0.29378 0.33818 4 | 0.13034 0.22745 0.30184 0.36378 5 | 0.13034 0.18377 0.20230 0.20861 6 | 0.13034 0.14814 0.25663 0.39340 7 | 0.13034 0.17196 0.18196 0.18255 8 | 0.13034 0.45229 0.28137 0.38600 9 | 0.13034 0.23447 0.36555 0.47281 10 | 0.13034 0.35195 0.51188 0.63640 11 | 0.13034 0.45817 0.63260 0.78950 12 | 0.13055 0.47628 0.69917 0.86412 13 | 0.62301 0.93207 1.13317 1.27978 14 | 0.69242 1.03978 1.26198 1.42324 15 | 1.38578 2.07507 2.52200 2.84775 16 | 0.13034 0.14739 0.19487 0.23286 17 | 0.13034 0.22074 0.27919 0.32590 18 | 0.13034 0.22074 0.27935 0.32448 19 | 0.13034 0.47733 0.69980 0.86274 20 | 0.13034 0.47733 0.55656 0.67532 21 | 0.13034 1.03547 1.26337 1.42295 22 | 0.13034 0.47716 0.68657 0.84181 23 | 0.13034 0.47733 0.69980 0.86274 24 | 0.13034 0.47716 0.62548 0.68564 25 | 0.13034 0.47716 0.68816 0.61239 26 | 0.13034 0.75603 0.98070 1.14199 27 | 0.13034 0.47716 0.69980 0.86274 28 | 0.13034 0.47716 0.65666 0.79702 29 | 0.13034 0.47716 0.68657 0.84181 Issue Based Utilities (3 Issues). 100 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02836 0.07107 RaS2/1 differ: 0.00000 0.00000 0.10571 0.23519 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.10856 0.08879 0.07535 0.06641 1 | 0.10856 0.12334 0.12382 0.12024 2 | 0.10856 0.14532 0.16166 0.16935 3 | 0.10856 0.19147 0.24843 0.28832 4 | 0.10856 0.19036 0.25252 0.30405 5 | 0.10856 0.15249 0.16836 0.17349 6 | 0.10856 0.12334 0.21507 0.32726 7 | 0.10856 0.14226 0.15212 0.15275 8 | 0.10856 0.38515 0.23599 0.33179 9 | 0.10856 0.19570 0.30303 0.39166 10 | 0.10856 0.29483 0.42277 0.52001 11 | 0.10856 0.39084 0.54894 0.67686 12 | 0.10840 0.39293 0.57535 0.70789 13 | 0.50957 0.76591 0.92992 1.04831 14 | 0.56865 0.85307 1.03411 1.16700 15 | 1.13612 1.70395 2.06896 2.33500 16 | 0.10856 0.12363 0.16463 0.19754 17 | 0.10856 0.18262 0.23395 0.27236 18 | 0.10856 0.18262 0.23321 0.27132 19 | 0.10856 0.39284 0.57620 0.70733 20 | 0.10856 0.39284 0.45814 0.55753 21 | 0.10856 0.85177 1.03478 1.16780 22 | 0.10856 0.39268 0.56520 0.69049 23 | 0.10856 0.39284 0.57620 0.70733 24 | 0.10856 0.39268 0.51540 0.56592 25 | 0.10856 0.39268 0.56355 0.50711 26 | 0.10856 0.62236 0.80457 0.93772 27 | 0.10856 0.39268 0.57620 0.70733 28 | 0.10856 0.39268 0.54043 0.65350 29 | 0.10856 0.39268 0.56520 0.69049 Issue Based Utilities (4 Issues). 100 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02853 0.07145 RaS2/1 differ: 0.00000 0.00000 0.10631 0.23695 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.09480 0.07838 0.06701 0.05930 1 | 0.09480 0.10762 0.10856 0.10612 2 | 0.09480 0.12676 0.14107 0.14832 3 | 0.09480 0.16664 0.21656 0.25314 4 | 0.09480 0.16572 0.21992 0.26439 5 | 0.09480 0.13243 0.14732 0.15230 6 | 0.09480 0.10762 0.18692 0.28114 7 | 0.09480 0.12400 0.13285 0.13394 8 | 0.09480 0.33728 0.20604 0.29408 9 | 0.09480 0.17044 0.26499 0.33953 10 | 0.09480 0.25447 0.36472 0.44426 11 | 0.09480 0.34232 0.48322 0.59619 12 | 0.09499 0.34021 0.49796 0.61305 13 | 0.44107 0.66310 0.80515 0.90643 14 | 0.49139 0.73616 0.89499 1.00913 15 | 0.98169 1.47272 1.78779 2.01859 16 | 0.09480 0.10827 0.14482 0.17290 17 | 0.09480 0.15936 0.20346 0.23765 18 | 0.09480 0.15936 0.20332 0.23652 19 | 0.09480 0.33925 0.49860 0.61280 20 | 0.09480 0.33925 0.39748 0.48285 21 | 0.09480 0.73713 0.89341 1.00911 22 | 0.09480 0.33954 0.48879 0.59794 23 | 0.09480 0.33925 0.49860 0.61280 24 | 0.09480 0.33954 0.44675 0.49133 25 | 0.09480 0.33954 0.48744 0.43862 26 | 0.09480 0.53828 0.69572 0.81019 27 | 0.09480 0.33954 0.49860 0.61280 28 | 0.09480 0.33954 0.46780 0.56616 29 | 0.09480 0.33954 0.48879 0.59794 Random-Normal(0,1) Utilities (infinite issue limit). 100 voters. Each regret datapoint averages 1111111 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02927 0.07279 RaS2/1 differ: 0.00000 0.00000 0.10819 0.24208 Count: 1.11111e+08 1.11111e+08 1.11111e+08 1.11111e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.15250 0.96565 0.82465 0.72440 1 | 1.15250 1.29923 1.29148 1.25455 2 | 1.15250 1.55028 1.73264 1.82449 3 | 1.15250 1.73955 2.12876 2.41375 4 | 1.15250 1.77234 2.19831 2.51843 5 | 1.15250 1.61798 1.80137 1.86523 6 | 1.15250 1.29923 1.79798 2.36231 7 | 1.15250 1.51760 1.62678 1.63884 8 | 1.15250 2.32080 2.41334 2.80508 9 | 1.15250 1.80449 2.72523 3.49286 10 | 1.15250 2.19985 3.09858 3.89527 11 | 1.15250 2.32137 3.36655 4.27413 12 | 1.15306 3.97581 5.79995 7.12685 13 | 5.07765 7.61320 9.26152 10.47229 14 | 5.63154 8.47116 10.31087 11.63304 15 | 11.28195 16.93395 20.58929 23.26583 16 | 1.15250 1.30682 1.70648 2.00369 17 | 1.15250 1.87965 2.37805 2.75884 18 | 1.15250 1.87965 2.37610 2.74417 19 | 1.15250 3.96680 5.80342 7.12896 20 | 1.15250 3.96680 4.60481 5.59474 21 | 1.15250 8.47028 10.29889 11.63341 22 | 1.15250 3.96654 5.69396 6.95437 23 | 1.15250 3.96680 5.80342 7.12896 24 | 1.15250 3.96654 5.20999 5.71576 25 | 1.15250 3.96654 5.75314 4.91132 26 | 1.15250 6.22860 8.04585 9.38515 27 | 1.15250 3.96654 5.80342 7.12896 28 | 1.15250 3.96654 5.45008 6.58762 29 | 1.15250 3.96654 5.69396 6.95437 Seeding with 31546432 drand48 0.773150 0.230617 0.820847 0.918013 0.986590 drand48 0.307685 0.118280 0.664064 0.841266 0.682779 random 70be315c a07aaa8 5622fb04 3dbdf840 191976a random 7432036d 4379607b 68af98b6 72120075 1c469af random 55b43902 7143f03a 6cc8b2d6 1f202228 1919c8ad random 1d0efbe2 505a33c4 1429a930 18d8a771 5a1865e8 RAND_MAX 7fffffff Coveyou 897b7fcd 3c66b30a 2cf62070 750eb873 388f6f Coveyou bce441ef 44fe79b1 726a9095 92bba9dd f74180da Coveyou 187dc62b 86dae103 dc573842 fc7776eb 789700f5 Coveyou 5d783040 14c97b38 b25cb6e 15319723 da19cf80 Coveyou 78c7e17e 58740b7d 1ea954c4 63a1e152 623b0b43 Coveyou a17f8e41 aae8bac7 3e5a3d1a 45e8156 1c7f944b ParkMiller 6ffdca9c 3d7540ac 6ca996c6 4719f95 6a2d3814 ParkMiller 6825f369 2b61995e 2f206 1d25be8a 6f8f621d myrand 0.119863 0.571432 0.396365 0.833821 0.053290 myrand 0.689908 0.103898 0.637762 0.775311 0.613689 myrand 0.268032 0.759537 0.379419 0.370995 0.206159 myrand 0.027575 0.607231 0.600167 0.290571 0.741440 Random 0-1 Utilities. (0 issues.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02780 0.06920 RaS2/1 differ: 0.00000 0.00000 0.09727 0.21395 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.42448 0.29789 0.21542 0.16049 1 | 0.42448 0.46125 0.44287 0.41396 2 | 0.42448 0.56228 0.62101 0.64618 3 | 0.42448 0.64452 0.79532 0.90612 4 | 0.42448 0.65317 0.81950 0.94832 5 | 0.42448 0.60690 0.67483 0.69129 6 | 0.42448 0.46125 0.64158 0.89164 7 | 0.42448 0.54681 0.57075 0.56043 8 | 0.42448 0.88231 0.84029 1.00917 9 | 0.42448 0.67413 1.06980 1.40477 10 | 0.42448 0.84721 1.25863 1.63451 11 | 0.42448 0.88231 1.33135 1.73533 12 | 0.42413 1.57405 2.32673 2.86811 13 | 2.13500 3.20405 3.89138 4.41415 14 | 2.30636 3.45491 4.19476 4.75167 15 | 4.60517 6.91402 8.40206 9.49966 16 | 0.42448 0.43151 0.54809 0.62466 17 | 0.42448 0.68989 0.85241 0.97267 18 | 0.42448 0.68989 0.85423 0.96512 19 | 0.42448 1.57649 2.32316 2.87271 20 | 0.42448 1.57649 1.82319 2.22955 21 | 0.42448 3.45760 4.20715 4.74759 22 | 0.42448 1.57586 2.28957 2.82138 23 | 0.42448 1.57649 2.32316 2.87271 24 | 0.42448 1.57586 2.04574 2.22136 25 | 0.42448 1.57586 2.32876 1.94030 26 | 0.42448 2.52106 3.26399 3.80148 27 | 0.42448 1.57586 2.32316 2.87271 28 | 0.42448 1.57586 2.21732 2.71295 29 | 0.42448 1.57586 2.28957 2.82138 200 RandUtil[4cand] 0.21542 1.25863 5.843 0.85423 2.32316 2.720 Issue Based Utilities (1 Issue). 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02794 0.07007 RaS2/1 differ: 0.00000 0.00000 0.10228 0.22639 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.24569 0.18948 0.15228 0.12808 1 | 0.24569 0.27371 0.26904 0.25687 2 | 0.24569 0.32657 0.35957 0.37765 3 | 0.24569 0.46162 0.57951 0.66222 4 | 0.24569 0.43585 0.59397 0.72696 5 | 0.24569 0.35023 0.38954 0.40219 6 | 0.24569 0.27371 0.55317 0.88828 7 | 0.24569 0.31829 0.33353 0.33173 8 | 0.24569 0.89954 0.51609 0.75520 9 | 0.24569 0.45621 0.71738 0.94148 10 | 0.24569 0.74094 1.11160 1.41430 11 | 0.24569 0.90019 1.16773 1.46353 12 | 0.24593 0.90708 1.33080 1.63552 13 | 1.22000 1.83995 2.22830 2.52052 14 | 1.31274 1.97848 2.40048 2.71338 15 | 2.63136 3.95742 4.80300 5.42411 16 | 0.24569 0.26725 0.35207 0.41392 17 | 0.24569 0.40638 0.51636 0.59904 18 | 0.24569 0.40638 0.51536 0.59693 19 | 0.24569 0.90198 1.33148 1.64183 20 | 0.24569 0.90198 1.05626 1.28546 21 | 0.24569 1.98330 2.40712 2.70932 22 | 0.24569 0.90144 1.31364 1.61345 23 | 0.24569 0.90198 1.33148 1.64183 24 | 0.24569 0.90144 1.18663 1.29484 25 | 0.24569 0.90144 1.32843 1.19391 26 | 0.24569 1.44102 1.86996 2.17716 27 | 0.24569 0.90144 1.33148 1.64183 28 | 0.24569 0.90144 1.27331 1.55086 29 | 0.24569 0.90144 1.31364 1.61345 Issue Based Utilities (2 Issues). 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02818 0.07058 RaS2/1 differ: 0.00000 0.00000 0.10460 0.23217 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.18454 0.14910 0.12440 0.10859 1 | 0.18454 0.20848 0.20883 0.20130 2 | 0.18454 0.24531 0.27327 0.28530 3 | 0.18454 0.36790 0.48107 0.55537 4 | 0.18454 0.34219 0.47274 0.57755 5 | 0.18454 0.26337 0.29507 0.30312 6 | 0.18454 0.20848 0.44875 0.71648 7 | 0.18454 0.23923 0.25439 0.25328 8 | 0.18454 0.77228 0.39847 0.64823 9 | 0.18454 0.35816 0.56085 0.72686 10 | 0.18454 0.60987 0.88600 1.08241 11 | 0.18454 0.77335 1.01856 1.24570 12 | 0.18511 0.67307 0.99038 1.21456 13 | 0.90585 1.36091 1.66015 1.86362 14 | 0.97809 1.46686 1.78613 2.00983 15 | 1.95950 2.93763 3.56732 4.02041 16 | 0.18454 0.20697 0.27656 0.32875 17 | 0.18454 0.31039 0.39362 0.45752 18 | 0.18454 0.31039 0.39369 0.45613 19 | 0.18454 0.67307 0.98521 1.21433 20 | 0.18454 0.67307 0.78449 0.95362 21 | 0.18454 1.46752 1.78438 2.00801 22 | 0.18454 0.67343 0.97196 1.19335 23 | 0.18454 0.67307 0.98521 1.21433 24 | 0.18454 0.67343 0.88194 0.96670 25 | 0.18454 0.67343 0.99017 0.91125 26 | 0.18454 1.07042 1.38272 1.61109 27 | 0.18454 0.67343 0.98521 1.21433 28 | 0.18454 0.67343 0.94118 1.14863 29 | 0.18454 0.67343 0.97196 1.19335 Issue Based Utilities (3 Issues). 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02837 0.07108 RaS2/1 differ: 0.00000 0.00000 0.10578 0.23518 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.15215 0.12704 0.10700 0.09440 1 | 0.15215 0.17533 0.17539 0.17110 2 | 0.15215 0.20451 0.22702 0.23778 3 | 0.15215 0.31020 0.41118 0.48171 4 | 0.15215 0.28798 0.39725 0.48374 5 | 0.15215 0.21930 0.24471 0.25281 6 | 0.15215 0.17533 0.37626 0.59359 7 | 0.15215 0.19996 0.21190 0.21171 8 | 0.15215 0.66496 0.33247 0.56915 9 | 0.15215 0.30068 0.46888 0.60439 10 | 0.15215 0.51390 0.73035 0.88602 11 | 0.15215 0.66595 0.89057 1.07906 12 | 0.15230 0.55469 0.81388 0.99972 13 | 0.74381 1.11859 1.35732 1.53099 14 | 0.80528 1.20864 1.46186 1.64896 15 | 1.60639 2.41144 2.92359 3.30094 16 | 0.15215 0.17429 0.23243 0.27795 17 | 0.15215 0.25776 0.32880 0.38327 18 | 0.15215 0.25776 0.32824 0.38226 19 | 0.15215 0.55434 0.81341 1.00064 20 | 0.15215 0.55434 0.64727 0.78634 21 | 0.15215 1.20782 1.46237 1.65286 22 | 0.15215 0.55449 0.80242 0.98337 23 | 0.15215 0.55434 0.81341 1.00064 24 | 0.15215 0.55449 0.72778 0.79945 25 | 0.15215 0.55449 0.81077 0.75347 26 | 0.15215 0.88018 1.13737 1.32396 27 | 0.15215 0.55449 0.81341 1.00064 28 | 0.15215 0.55449 0.77814 0.94658 29 | 0.15215 0.55449 0.80242 0.98337 Issue Based Utilities (4 Issues). 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02855 0.07139 RaS2/1 differ: 0.00000 0.00000 0.10637 0.23682 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.13302 0.11023 0.09463 0.08450 1 | 0.13302 0.15179 0.15288 0.14994 2 | 0.13302 0.17717 0.19793 0.20795 3 | 0.13302 0.26782 0.36016 0.42658 4 | 0.13302 0.25181 0.34446 0.41772 5 | 0.13302 0.18990 0.21324 0.22105 6 | 0.13302 0.15179 0.32514 0.50642 7 | 0.13302 0.17298 0.18457 0.18559 8 | 0.13302 0.57930 0.29026 0.51001 9 | 0.13302 0.26142 0.40832 0.52429 10 | 0.13302 0.44419 0.62614 0.75303 11 | 0.13302 0.58019 0.78825 0.95453 12 | 0.13305 0.47887 0.70421 0.86659 13 | 0.64506 0.96468 1.17244 1.32549 14 | 0.69433 1.04093 1.26294 1.42565 15 | 1.38886 2.08432 2.52862 2.85308 16 | 0.13302 0.15262 0.20403 0.24350 17 | 0.13302 0.22371 0.28672 0.33483 18 | 0.13302 0.22371 0.28642 0.33439 19 | 0.13302 0.47967 0.70247 0.86617 20 | 0.13302 0.47967 0.56155 0.68129 21 | 0.13302 1.04197 1.26270 1.42635 22 | 0.13302 0.47969 0.69321 0.85110 23 | 0.13302 0.47967 0.70247 0.86617 24 | 0.13302 0.47969 0.63173 0.69329 25 | 0.13302 0.47969 0.70283 0.65380 26 | 0.13302 0.75810 0.98282 1.14733 27 | 0.13302 0.47969 0.70247 0.86617 28 | 0.13302 0.47969 0.67233 0.81880 29 | 0.13302 0.47969 0.69321 0.85110 Random-Normal(0,1) Utilities (infinite issue limit). 200 voters. Each regret datapoint averages 666666 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07281 RaS2/1 differ: 0.00000 0.00000 0.10816 0.24203 Count: 1.33333e+08 1.33333e+08 1.33333e+08 1.33333e+08 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.61631 1.37282 1.16885 1.03675 1 | 1.61631 1.84368 1.83606 1.78219 2 | 1.61631 2.18396 2.43847 2.57293 3 | 1.61631 2.46365 3.01745 3.43204 4 | 1.61631 2.49542 3.08012 3.54436 5 | 1.61631 2.33119 2.61517 2.71814 6 | 1.61631 1.84368 2.57558 3.39215 7 | 1.61631 2.12921 2.26910 2.27785 8 | 1.61631 3.26536 3.42499 4.07254 9 | 1.61631 2.55596 3.89601 4.99077 10 | 1.61631 3.13808 4.45014 5.57488 11 | 1.61631 3.26536 4.70288 5.96950 12 | 1.61602 5.59530 8.19539 10.05754 13 | 7.42182 11.12804 13.53557 15.26621 14 | 7.99745 11.96272 14.57877 16.42783 15 | 15.96297 23.92543 29.11261 32.90203 16 | 1.61631 1.85211 2.40181 2.83800 17 | 1.61631 2.65709 3.34931 3.87213 18 | 1.61631 2.65709 3.34932 3.85435 19 | 1.61631 5.61662 8.19243 10.08181 20 | 1.61631 5.61662 6.50410 7.90350 21 | 1.61631 11.94221 14.55170 16.45690 22 | 1.61631 5.61594 8.08358 9.90833 23 | 1.61631 5.61662 8.19243 10.08181 24 | 1.61631 5.61594 7.32939 8.07055 25 | 1.61631 5.61594 8.20299 6.93373 26 | 1.61631 8.77564 11.36873 13.25167 27 | 1.61631 5.61594 8.19243 10.08181 28 | 1.61631 5.61594 7.83821 9.54316 29 | 1.61631 5.61594 8.08358 9.90833 ================================================================= Results with "voter ignorance" activated: ================================================================= Seeding with 3950213 drand48 0.353145 0.198713 0.357323 0.161433 0.770949 drand48 0.287950 0.160878 0.633578 0.897395 0.018440 random 3aec9d6f 76047ba1 b4e350 759ada12 609b1a97 random 66c4d809 35e49489 38ba8678 53002dad 3a9035b1 random 455a2ad2 6a348010 51e50a2f b60c7b7 169122a8 random 3d0706f8 f231db0 115d0919 706a6930 24179106 RAND_MAX 7fffffff Coveyou f9efce7b 60f9732 4c9d4827 7136615b e322 Coveyou 10a47da4 4689b2f7 76d15f1b 9fc5d8e8 b37cb35e Coveyou d2a3ef66 154b5ba5 1e9c9a3e 122fa6bb a3e8dcb2 Coveyou aef7543b 114013c 6878b38c a73357d9 7197f788 Coveyou 23ec3810 c790f621 142367fb 8dc38f2d 24162eb7 Coveyou f1e3566 571e7a12 8ea3889b a3b4ef73 6f9e4001 ParkMiller 17ded553 41bbbea2 228d8e84 64d634f7 400dc5a4 ParkMiller 22c93f37 5ef5e96c 32d925ab 608526c4 7a224086 myrand 0.648701 0.495325 0.324578 0.063835 0.104817 myrand 0.636201 0.248288 0.938218 0.532417 0.804509 myrand 0.116325 0.926216 0.495679 0.628126 0.532062 myrand 0.567206 0.544693 0.516628 0.176998 0.058280 Random 0-1 Utilities. (0 issues.) IgnoranceQ=0.99. (Identical.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07276 RaS2/1 differ: 0.00000 0.00000 0.10812 0.24196 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.78246 2.59671 3.12266 3.49234 1 | 1.78246 2.63211 3.17503 3.55450 2 | 1.78246 2.65583 3.21910 3.62039 3 | 1.78246 2.67760 3.26785 3.68912 4 | 1.78246 2.68080 3.27151 3.69833 5 | 1.78246 2.66878 3.23158 3.63670 6 | 1.78246 2.63211 3.23365 3.68527 7 | 1.78246 2.65211 3.20879 3.59620 8 | 1.78246 2.74216 3.30105 3.73183 9 | 1.78246 2.69074 3.33987 3.82141 10 | 1.78246 2.73779 3.38799 3.86082 11 | 1.78246 2.74216 3.39982 3.89144 12 | 1.78002 2.92934 3.68618 4.23271 13 | 2.25672 3.39143 4.11966 4.65564 14 | 2.31529 3.45491 4.21275 4.74960 15 | 4.60974 6.91339 8.40655 9.49843 16 | 1.78246 2.63539 3.21484 3.63070 17 | 1.78246 2.69523 3.28534 3.72672 18 | 1.78246 2.69523 3.28480 3.72029 19 | 1.78246 2.92934 3.68535 4.22196 20 | 1.78246 2.92934 3.55226 4.05111 21 | 1.78246 3.46370 4.19826 4.75376 22 | 1.78246 2.92810 3.67800 4.20765 23 | 1.78246 2.92934 3.68535 4.22196 24 | 1.78246 2.92810 3.61878 4.06401 25 | 1.78246 2.92810 3.68921 3.97279 26 | 1.78246 3.19770 3.94175 4.48897 27 | 1.78246 2.92810 3.68535 4.22196 28 | 1.78246 2.92810 3.66088 4.17900 29 | 1.78246 2.92810 3.67800 4.20765 200 RandUtil[4cand] 3.12266 3.38799 1.085 3.28480 3.68535 1.122 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.02084 0.00357 0.01895 0.00077 Issue Based Utilities (1 Issue). IgnoranceQ=0.99. (Identical.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07282 RaS2/1 differ: 0.00000 0.00000 0.10815 0.24202 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.14353 1.68481 2.03000 2.28109 1 | 1.14353 1.69709 2.04683 2.29908 2 | 1.14353 1.70582 2.06422 2.31975 3 | 1.14353 1.71253 2.08009 2.34865 4 | 1.14353 1.71375 2.08357 2.34597 5 | 1.14353 1.70774 2.07142 2.32588 6 | 1.14353 1.69709 2.06505 2.34273 7 | 1.14353 1.70465 2.05940 2.31142 8 | 1.14353 1.73841 2.09006 2.36181 9 | 1.14353 1.71676 2.10461 2.38624 10 | 1.14353 1.73402 2.11705 2.40098 11 | 1.14353 1.73841 2.12829 2.42353 12 | 1.14323 1.79825 2.22756 2.52766 13 | 1.30423 1.95194 2.37133 2.67611 14 | 1.31709 1.97563 2.39908 2.71050 15 | 2.63451 3.95035 4.79655 5.41547 16 | 1.14353 1.69885 2.06326 2.33086 17 | 1.14353 1.72265 2.08869 2.36298 18 | 1.14353 1.72265 2.08930 2.36444 19 | 1.14353 1.80112 2.22366 2.53370 20 | 1.14353 1.80112 2.17699 2.47380 21 | 1.14353 1.97816 2.39506 2.70945 22 | 1.14353 1.80066 2.22116 2.52845 23 | 1.14353 1.80112 2.22366 2.53370 24 | 1.14353 1.80066 2.19862 2.47910 25 | 1.14353 1.80066 2.21964 2.44380 26 | 1.14353 1.89045 2.31322 2.61965 27 | 1.14353 1.80066 2.22366 2.53370 28 | 1.14353 1.80066 2.21455 2.51966 29 | 1.14353 1.80066 2.22116 2.52845 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00034 0.00091 0.00160 0.00552 Issue Based Utilities (2 Issues). IgnoranceQ=0.99. (Identical.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07282 RaS2/1 differ: 0.00000 0.00000 0.10819 0.24206 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.88038 1.30421 1.57849 1.77786 1 | 0.88038 1.30983 1.59004 1.78891 2 | 0.88038 1.31487 1.60003 1.79878 3 | 0.88038 1.32088 1.60849 1.80972 4 | 0.88038 1.31852 1.60664 1.81425 5 | 0.88038 1.31604 1.60107 1.79959 6 | 0.88038 1.30983 1.59991 1.81258 7 | 0.88038 1.31387 1.59731 1.79343 8 | 0.88038 1.33585 1.61439 1.82366 9 | 0.88038 1.31985 1.62243 1.83578 10 | 0.88038 1.32844 1.63188 1.84345 11 | 0.88038 1.33585 1.63582 1.84912 12 | 0.87997 1.36885 1.68600 1.91402 13 | 0.96744 1.45804 1.76898 1.99551 14 | 0.97695 1.47021 1.78572 2.01165 15 | 1.95559 2.93559 3.57001 4.02250 16 | 0.88038 1.30893 1.59450 1.80465 17 | 0.88038 1.32445 1.60826 1.81970 18 | 0.88038 1.32445 1.60889 1.81930 19 | 0.88038 1.37155 1.68619 1.90864 20 | 0.88038 1.37155 1.65890 1.87710 21 | 0.88038 1.46604 1.78364 2.00983 22 | 0.88038 1.37164 1.68422 1.90613 23 | 0.88038 1.37155 1.68619 1.90864 24 | 0.88038 1.37164 1.67214 1.87972 25 | 0.88038 1.37164 1.68540 1.86739 26 | 0.88038 1.41954 1.73327 1.96296 27 | 0.88038 1.37164 1.68619 1.90864 28 | 0.88038 1.37164 1.67968 1.90121 29 | 0.88038 1.37164 1.68422 1.90613 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00169 0.00482 0.00143 0.00079 Issue Based Utilities (3 Issues). IgnoranceQ=0.99. (Identical.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02923 0.07281 RaS2/1 differ: 0.00000 0.00000 0.10816 0.24202 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.73848 1.09385 1.32671 1.48993 1 | 0.73848 1.09698 1.33278 1.49594 2 | 0.73848 1.10169 1.33844 1.50411 3 | 0.73848 1.10356 1.34358 1.51326 4 | 0.73848 1.10498 1.34683 1.51464 5 | 0.73848 1.10331 1.34062 1.50521 6 | 0.73848 1.09698 1.34138 1.51497 7 | 0.73848 1.10104 1.33605 1.50137 8 | 0.73848 1.11397 1.34859 1.52156 9 | 0.73848 1.10507 1.35488 1.53007 10 | 0.73848 1.11224 1.36314 1.53861 11 | 0.73848 1.11397 1.36416 1.54110 12 | 0.73805 1.13766 1.39997 1.58519 13 | 0.79779 1.19493 1.45522 1.63916 14 | 0.80203 1.20590 1.46642 1.65172 15 | 1.60603 2.40746 2.93052 3.30446 16 | 0.73848 1.09782 1.33893 1.50959 17 | 0.73848 1.10609 1.34763 1.52057 18 | 0.73848 1.10609 1.34772 1.51924 19 | 0.73848 1.13554 1.39702 1.58410 20 | 0.73848 1.13554 1.38044 1.56263 21 | 0.73848 1.20549 1.46543 1.65280 22 | 0.73848 1.13497 1.39627 1.58209 23 | 0.73848 1.13554 1.39702 1.58410 24 | 0.73848 1.13497 1.38906 1.56083 25 | 0.73848 1.13497 1.39847 1.55009 26 | 0.73848 1.16938 1.43005 1.61834 27 | 0.73848 1.13497 1.39702 1.58410 28 | 0.73848 1.13497 1.39344 1.57813 29 | 0.73848 1.13497 1.39627 1.58209 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00197 0.00434 0.00232 0.00103 Issue Based Utilities (4 Issues). IgnoranceQ=0.99. (Identical.) 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02925 0.07281 RaS2/1 differ: 0.00000 0.00000 0.10815 0.24205 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.64469 0.95884 1.16057 1.30883 1 | 0.64469 0.96360 1.16571 1.31413 2 | 0.64469 0.96544 1.16939 1.32120 3 | 0.64469 0.96738 1.17327 1.32744 4 | 0.64469 0.96770 1.17502 1.32830 5 | 0.64469 0.96692 1.17065 1.32086 6 | 0.64469 0.96360 1.17095 1.32573 7 | 0.64469 0.96548 1.16791 1.31834 8 | 0.64469 0.97512 1.17700 1.33504 9 | 0.64469 0.96857 1.17984 1.33945 10 | 0.64469 0.97340 1.18606 1.34317 11 | 0.64469 0.97512 1.18676 1.34773 12 | 0.64487 0.99196 1.21658 1.37956 13 | 0.68870 1.03447 1.25808 1.41969 14 | 0.69462 1.04192 1.26548 1.42748 15 | 1.38734 2.08346 2.53237 2.85406 16 | 0.64469 0.96335 1.17169 1.32409 17 | 0.64469 0.96780 1.17622 1.33184 18 | 0.64469 0.96780 1.17605 1.33036 19 | 0.64469 0.99178 1.21379 1.38049 20 | 0.64469 0.99178 1.20135 1.36363 21 | 0.64469 1.04175 1.26752 1.42734 22 | 0.64469 0.99159 1.21237 1.37888 23 | 0.64469 0.99178 1.21379 1.38049 24 | 0.64469 0.99159 1.20750 1.36535 25 | 0.64469 0.99159 1.21741 1.35496 26 | 0.64469 1.01571 1.23970 1.40258 27 | 0.64469 0.99159 1.21379 1.38049 28 | 0.64469 0.99159 1.21141 1.37645 29 | 0.64469 0.99159 1.21237 1.37888 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00190 0.00038 0.00141 0.00090 Random-Normal(0,1) Utilities (infinite issue limit). IgnoranceQ=0.99. (Identical.) 200 voters. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02923 0.07283 RaS2/1 differ: 0.00000 0.00000 0.10817 0.24204 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.62043 1.36920 1.17042 1.03423 1 | 1.62043 1.83434 1.83375 1.77147 2 | 1.62043 2.18046 2.44047 2.55936 3 | 1.62043 2.45290 3.01802 3.41980 4 | 1.62043 2.48850 3.08652 3.53205 5 | 1.62043 2.31740 2.61394 2.71334 6 | 1.62043 1.83434 2.57901 3.38891 7 | 1.62043 2.12631 2.26666 2.26544 8 | 1.62043 3.25451 3.41389 4.05699 9 | 1.62043 2.55574 3.90192 4.97382 10 | 1.62043 3.12970 4.45909 5.57267 11 | 1.62043 3.25451 4.70978 5.97823 12 | 1.62330 5.61193 8.21399 10.06463 13 | 7.41816 11.10125 13.50752 15.28285 14 | 7.97718 11.94536 14.52958 16.42629 15 | 15.94065 23.92663 29.11791 32.86929 16 | 1.62043 1.84531 2.38968 2.83686 17 | 1.62043 2.64512 3.36122 3.89010 18 | 1.62043 2.64512 3.34779 3.88619 19 | 1.62043 5.59538 8.23942 10.10392 20 | 1.62043 5.59538 6.52313 7.92693 21 | 1.62043 11.97622 14.58209 16.42392 22 | 1.62043 5.59680 8.12660 9.93770 23 | 1.62043 5.59538 8.23942 10.10392 24 | 1.62043 5.59680 7.38360 8.10685 25 | 1.62043 5.59680 8.18110 6.90148 26 | 1.62043 8.79597 11.38676 13.24482 27 | 1.62043 5.59680 8.23942 10.10392 28 | 1.62043 5.59680 7.88470 9.56626 29 | 1.62043 5.59680 8.12660 9.93770 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.01370 0.03591 0.05876 0.01671 ======================================================= Seeding with 76342431 drand48 0.216719 0.661575 0.502093 0.649682 0.334771 drand48 0.551027 0.794735 0.259929 0.051067 0.475330 random 35175be5 4a0dc650 508f8698 41fa5141 73630608 random 6bf46259 1f48e534 69a9f403 7fc0ea3b 45119550 random 4ded28bf 15225b6a 71df345d 482f2e4b 7fb3e20 random 2c647a3d 44f99dd6 728cac5b 6751cff2 41e713e7 RAND_MAX 7fffffff Coveyou eab968b3 d9d446a4 ec922659 23c963ec 14b4e6e Coveyou d4196bb6 55ff2684 20295f80 f41fff09 5e8f7aee Coveyou df61e5d1 f16a1985 5287a588 b5911e47 1a93cdfb Coveyou 1144e857 5fbcd40b 3cccdf40 8b5e587d 9d3632df Coveyou cad7e4c3 abd14a5b 2609e533 baffd094 7b025883 Coveyou 1fb11fb3 fcc3c18e e76a8cfa 4862eab6 b1daf3d2 ParkMiller 4f4de46c 6a00225a 5ad6b3d6 628bfe25 23947084 ParkMiller 22fbfec3 4a841a22 ab2220f 617aad2a 425d27 myrand 0.656336 0.600324 0.263343 0.933456 0.219139 myrand 0.806734 0.197843 0.662978 0.161423 0.670364 myrand 0.813056 0.309388 0.773313 0.581824 0.764303 myrand 0.926166 0.644374 0.383773 0.739979 0.757839 Random 0-1 Utilities. (0 issues.) IgnoranceQ=0.49. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02910 0.07251 RaS2/1 differ: 0.00000 0.00000 0.10774 0.24116 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.34151 1.86410 2.20236 2.44259 1 | 1.34151 1.93745 2.30025 2.54445 2 | 1.34151 1.99595 2.39779 2.67292 3 | 1.34151 2.03418 2.49724 2.80379 4 | 1.34151 2.04499 2.49872 2.81983 5 | 1.34151 2.02822 2.42360 2.69144 6 | 1.34151 1.93745 2.39828 2.78760 7 | 1.34151 1.98612 2.37550 2.61976 8 | 1.34151 2.14753 2.52051 2.87203 9 | 1.34151 2.04894 2.62240 3.03905 10 | 1.34151 2.13818 2.69702 3.13934 11 | 1.34151 2.14753 2.75600 3.20450 12 | 1.33966 2.51837 3.23650 3.77162 13 | 2.21858 3.32740 4.03694 4.58972 14 | 2.29914 3.48586 4.19537 4.73654 15 | 4.60174 6.91869 8.41447 9.49947 16 | 1.34151 1.94457 2.38354 2.67942 17 | 1.34151 2.07066 2.50481 2.86223 18 | 1.34151 2.07066 2.51131 2.85814 19 | 1.34151 2.50941 3.24463 3.77956 20 | 1.34151 2.50941 2.99514 3.46037 21 | 1.34151 3.45984 4.20503 4.74611 22 | 1.34151 2.50621 3.22621 3.75468 23 | 1.34151 2.50941 3.24463 3.77956 24 | 1.34151 2.50621 3.11949 3.48933 25 | 1.34151 2.50621 3.26007 3.34288 26 | 1.34151 2.97414 3.71664 4.25842 27 | 1.34151 2.50621 3.24463 3.77956 28 | 1.34151 2.50621 3.18834 3.70019 29 | 1.34151 2.50621 3.22621 3.75468 200 RandUtil[4cand] 2.20236 2.69702 1.225 2.51131 3.24463 1.292 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00345 0.05302 0.02372 0.02639 Issue Based Utilities (1 Issue). IgnoranceQ=0.49. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02924 0.07272 RaS2/1 differ: 0.00000 0.00000 0.10827 0.24200 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.97086 1.40913 1.68906 1.88001 1 | 0.97086 1.43604 1.71858 1.92460 2 | 0.97086 1.45400 1.75234 1.96743 3 | 0.97086 1.46886 1.79057 2.01645 4 | 0.97086 1.46711 1.79412 2.01748 5 | 0.97086 1.46153 1.76281 1.97443 6 | 0.97086 1.43604 1.75504 1.99895 7 | 0.97086 1.45127 1.74546 1.95492 8 | 0.97086 1.51964 1.79879 2.04748 9 | 0.97086 1.46880 1.83404 2.09440 10 | 0.97086 1.49920 1.85529 2.12617 11 | 0.97086 1.51964 1.88611 2.16728 12 | 0.97108 1.62751 2.05193 2.36872 13 | 1.29424 1.92598 2.34360 2.64636 14 | 1.31089 1.97383 2.40373 2.71381 15 | 2.63251 3.93848 4.79607 5.42904 16 | 0.97086 1.42857 1.75338 1.97274 17 | 0.97086 1.46888 1.80195 2.02771 18 | 0.97086 1.46888 1.79681 2.03149 19 | 0.97086 1.62172 2.05857 2.37283 20 | 0.97086 1.62172 1.96468 2.25138 21 | 0.97086 1.98326 2.39519 2.72027 22 | 0.97086 1.62291 2.05424 2.36264 23 | 0.97086 1.62172 2.05857 2.37283 24 | 0.97086 1.62291 2.01159 2.25763 25 | 0.97086 1.62291 2.05649 2.19073 26 | 0.97086 1.79811 2.23383 2.53866 27 | 0.97086 1.62291 2.05857 2.37283 28 | 0.97086 1.62291 2.04094 2.34164 29 | 0.97086 1.62291 2.05424 2.36264 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.01074 0.00918 0.01139 0.00142 Issue Based Utilities (2 Issues). IgnoranceQ=0.49. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02926 0.07286 RaS2/1 differ: 0.00000 0.00000 0.10825 0.24197 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.78120 1.14967 1.37917 1.54121 1 | 0.78120 1.16168 1.39935 1.56470 2 | 0.78120 1.17342 1.41713 1.58658 3 | 0.78120 1.18203 1.44252 1.61923 4 | 0.78120 1.18008 1.43658 1.61556 5 | 0.78120 1.17612 1.42312 1.59275 6 | 0.78120 1.16168 1.41980 1.60623 7 | 0.78120 1.17106 1.41327 1.57942 8 | 0.78120 1.20590 1.44582 1.64126 9 | 0.78120 1.17836 1.46570 1.65759 10 | 0.78120 1.19449 1.47953 1.67357 11 | 0.78120 1.20590 1.50210 1.70278 12 | 0.78159 1.27429 1.58923 1.81456 13 | 0.95920 1.44237 1.76290 1.98649 14 | 0.97814 1.45999 1.78029 2.01853 15 | 1.95408 2.94070 3.56908 4.02900 16 | 0.78120 1.16665 1.41223 1.59399 17 | 0.78120 1.18466 1.44685 1.62916 18 | 0.78120 1.18466 1.44536 1.62763 19 | 0.78120 1.27356 1.59328 1.81678 20 | 0.78120 1.27356 1.54424 1.74253 21 | 0.78120 1.47352 1.78037 2.01693 22 | 0.78120 1.27460 1.58889 1.81181 23 | 0.78120 1.27356 1.59328 1.81678 24 | 0.78120 1.27460 1.56888 1.75156 25 | 0.78120 1.27460 1.59612 1.72118 26 | 0.78120 1.37455 1.68436 1.91400 27 | 0.78120 1.27460 1.59328 1.81678 28 | 0.78120 1.27460 1.58169 1.79959 29 | 0.78120 1.27460 1.58889 1.81181 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00221 0.02072 0.00850 0.00805 Issue Based Utilities (3 Issues). IgnoranceQ=0.49. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02932 0.07284 RaS2/1 differ: 0.00000 0.00000 0.10830 0.24214 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.67175 0.98042 1.18020 1.33625 1 | 0.67175 0.99109 1.19304 1.35087 2 | 0.67175 0.99856 1.20108 1.36525 3 | 0.67175 1.00165 1.21403 1.38377 4 | 0.67175 1.00538 1.21079 1.38715 5 | 0.67175 1.00298 1.20509 1.36589 6 | 0.67175 0.99109 1.20264 1.38239 7 | 0.67175 0.99820 1.19741 1.35952 8 | 0.67175 1.02062 1.21918 1.40362 9 | 0.67175 1.00656 1.23339 1.41969 10 | 0.67175 1.01545 1.24997 1.42543 11 | 0.67175 1.02062 1.25973 1.43482 12 | 0.67370 1.07218 1.32442 1.52267 13 | 0.79188 1.18205 1.43119 1.62118 14 | 0.80397 1.19804 1.46633 1.65597 15 | 1.60513 2.40675 2.92065 3.30805 16 | 0.67175 0.99109 1.20125 1.37501 17 | 0.67175 1.01065 1.22243 1.38968 18 | 0.67175 1.01065 1.22159 1.39053 19 | 0.67175 1.07477 1.32818 1.51648 20 | 0.67175 1.07477 1.28993 1.47209 21 | 0.67175 1.19870 1.45428 1.65193 22 | 0.67175 1.07462 1.32513 1.51270 23 | 0.67175 1.07477 1.32818 1.51648 24 | 0.67175 1.07462 1.31109 1.47764 25 | 0.67175 1.07462 1.31980 1.46461 26 | 0.67175 1.13572 1.39850 1.58499 27 | 0.67175 1.07462 1.32818 1.51648 28 | 0.67175 1.07462 1.32151 1.50446 29 | 0.67175 1.07462 1.32513 1.51270 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00281 0.01067 0.01201 0.00389 Issue Based Utilities (4 Issues). IgnoranceQ=0.49. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02923 0.07278 RaS2/1 differ: 0.00000 0.00000 0.10822 0.24204 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.59407 0.87947 1.05523 1.18195 1 | 0.59407 0.88516 1.06470 1.19211 2 | 0.59407 0.89291 1.07627 1.21086 3 | 0.59407 0.89523 1.08378 1.22739 4 | 0.59407 0.89908 1.08808 1.22422 5 | 0.59407 0.89720 1.07656 1.20994 6 | 0.59407 0.88516 1.07919 1.21690 7 | 0.59407 0.89119 1.07238 1.20578 8 | 0.59407 0.91140 1.08645 1.23061 9 | 0.59407 0.90149 1.09915 1.24761 10 | 0.59407 0.90760 1.10920 1.24961 11 | 0.59407 0.91140 1.11158 1.26710 12 | 0.59390 0.94810 1.16339 1.32262 13 | 0.68335 1.03205 1.24518 1.40538 14 | 0.69150 1.04088 1.26347 1.42192 15 | 1.38967 2.08498 2.52741 2.84733 16 | 0.59407 0.88713 1.07000 1.21093 17 | 0.59407 0.89781 1.08447 1.22675 18 | 0.59407 0.89781 1.08649 1.22739 19 | 0.59407 0.94425 1.16358 1.32673 20 | 0.59407 0.94425 1.13934 1.29121 21 | 0.59407 1.04090 1.26660 1.42062 22 | 0.59407 0.94296 1.16207 1.32497 23 | 0.59407 0.94425 1.16358 1.32673 24 | 0.59407 0.94296 1.14995 1.29411 25 | 0.59407 0.94296 1.17397 1.27610 26 | 0.59407 0.98977 1.21943 1.37257 27 | 0.59407 0.94296 1.16358 1.32673 28 | 0.59407 0.94296 1.15768 1.31845 29 | 0.59407 0.94296 1.16207 1.32497 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00667 0.00322 0.00047 0.00348 Random-Normal(0,1) Utilities (infinite issue limit). IgnoranceQ=0.49. 200 voters. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02927 0.07283 RaS2/1 differ: 0.00000 0.00000 0.10823 0.24216 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.60616 1.37824 1.17126 1.02301 1 | 1.60616 1.85583 1.84419 1.77306 2 | 1.60616 2.18221 2.43739 2.57289 3 | 1.60616 2.46610 3.01178 3.44235 4 | 1.60616 2.48124 3.08928 3.53457 5 | 1.60616 2.32614 2.60706 2.72925 6 | 1.60616 1.85583 2.57364 3.37557 7 | 1.60616 2.12451 2.27343 2.27657 8 | 1.60616 3.26211 3.42722 4.07745 9 | 1.60616 2.55758 3.89004 5.00353 10 | 1.60616 3.15639 4.42103 5.58632 11 | 1.60616 3.26211 4.67372 5.90845 12 | 1.60235 5.58675 8.19810 10.08141 13 | 7.42453 11.15263 13.52548 15.25327 14 | 7.92439 11.93004 14.41611 16.45171 15 | 15.90912 23.92914 29.06324 32.91188 16 | 1.60616 1.85885 2.39231 2.82517 17 | 1.60616 2.66719 3.37271 3.86789 18 | 1.60616 2.66719 3.35825 3.83522 19 | 1.60616 5.61054 8.21525 10.12641 20 | 1.60616 5.61054 6.52559 7.96783 21 | 1.60616 11.96871 14.52389 16.45797 22 | 1.60616 5.61113 8.10726 9.96052 23 | 1.60616 5.61054 8.21525 10.12641 24 | 1.60616 5.61113 7.37440 8.11169 25 | 1.60616 5.61113 8.21502 6.94396 26 | 1.60616 8.80181 11.38649 13.27506 27 | 1.60616 5.61113 8.21525 10.12641 28 | 1.60616 5.61113 7.88073 9.58401 29 | 1.60616 5.61113 8.10726 9.96052 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.06033 0.06905 0.23102 0.00845 ================================================== Seeding with 7342002 drand48 0.407768 0.538000 0.893456 0.347560 0.462655 drand48 0.825949 0.846942 0.673248 0.442105 0.730114 random 12c929f3 2ad42102 582c582b 40c5f758 39130522 random 5dd783a4 4e7fc8dd 2a6570b8 bb88e16 6b415db random 36d566f9 60b0dd90 655b6851 763ed6b1 543999d2 random 38d21b18 6bed1780 34ea387 b8b58b 462b958 RAND_MAX 7fffffff Coveyou 8b8a8018 9307c4c 228ee1e3 d7d43cd8 31085 Coveyou 3c0ea082 7cc82b3 9cab34ca fe9c6380 e6f64416 Coveyou e5aa68a3 cb4df6e3 b05d8b56 2700103d 8748d5aa Coveyou 3027eef9 32948f22 18b088f 65197788 998a7699 Coveyou 4502d5c0 75971747 e3e98f77 de4afe30 a50b17f7 Coveyou 6a35d6c1 46f80982 b0c17f58 16a419e5 164145df ParkMiller 8227650 1c6bc96e 10b78552 3b1e0404 5d5b58a2 ParkMiller 587e9c7a 5183d43a 3e745526 77f2b64c 5a22e2ab myrand 0.299256 0.469613 0.117635 0.962648 0.864895 myrand 0.698302 0.294804 0.280252 0.509496 0.929430 myrand 0.101792 0.591306 0.163722 0.421809 0.879232 myrand 0.090922 0.361979 0.254278 0.086895 0.557286 Random 0-1 Utilities. (0 issues.) IgnoranceQ=0.99. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03183 0.07765 RaS2/1 differ: 0.00000 0.00000 0.11190 0.25355 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.34618 1.84091 2.19196 2.49310 1 | 1.34618 1.91680 2.27046 2.53894 2 | 1.34618 1.98521 2.41099 2.73145 3 | 1.34618 2.04636 2.47914 2.76751 4 | 1.34618 2.19153 2.88665 3.43847 5 | 1.34618 2.00805 2.43569 2.74830 6 | 1.34618 1.91680 3.10438 3.92242 7 | 1.34618 1.97645 2.37607 2.67121 8 | 1.34618 2.48246 2.44279 2.93807 9 | 1.34618 2.24654 3.08331 3.69720 10 | 1.34618 2.71026 3.60989 4.19557 11 | 1.34618 2.48516 3.32631 3.90242 12 | 1.34685 2.50093 3.24883 3.78949 13 | 2.20996 3.32948 4.05999 4.58877 14 | 2.29604 3.46248 4.19797 4.75398 15 | 4.60471 6.91339 8.40587 9.49184 16 | 1.34618 1.92796 2.33848 2.63158 17 | 1.34618 2.04884 2.50855 2.85769 18 | 1.34618 2.04884 2.50180 2.83527 19 | 1.34618 2.50039 3.24393 3.78985 20 | 1.34618 2.50039 2.98908 3.46977 21 | 1.34618 3.46395 4.21309 4.75200 22 | 1.34618 2.50003 3.22696 3.76490 23 | 1.34618 2.50039 3.24393 3.78985 24 | 1.34618 2.50003 3.11000 3.48060 25 | 1.34618 2.50003 3.25726 3.35238 26 | 1.34618 2.98086 3.71911 4.27062 27 | 1.34618 2.50003 3.24393 3.78985 28 | 1.34618 2.50003 3.18815 3.71013 29 | 1.34618 2.50003 3.22696 3.76490 200 RandUtil[4cand] 2.19196 3.60989 1.647 2.50180 3.24393 1.297 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.01262 0.01156 0.00994 0.01611 Issue Based Utilities (1 Issue). IgnoranceQ=0.99. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03406 0.08188 RaS2/1 differ: 0.00000 0.00000 0.11455 0.26209 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.95702 1.36450 1.64015 1.86184 1 | 0.95702 1.38691 1.66295 1.86665 2 | 0.95702 1.41770 1.72634 1.95916 3 | 0.95702 1.43270 1.72286 1.92686 4 | 0.95702 1.51967 1.95027 2.26677 5 | 0.95702 1.42415 1.73717 1.96200 6 | 0.95702 1.38691 2.05571 2.44134 7 | 0.95702 1.41368 1.71402 1.93177 8 | 0.95702 1.64600 1.72483 2.07303 9 | 0.95702 1.54463 2.01413 2.34812 10 | 0.95702 1.75139 2.21591 2.52716 11 | 0.95702 1.64979 2.12072 2.45454 12 | 0.95668 1.61735 2.04075 2.35092 13 | 1.28483 1.92423 2.34855 2.65102 14 | 1.32088 1.97760 2.39987 2.71761 15 | 2.63502 3.95421 4.80342 5.42861 16 | 0.95702 1.40626 1.70128 1.91378 17 | 0.95702 1.44335 1.75904 1.99463 18 | 0.95702 1.44335 1.75915 1.98840 19 | 0.95702 1.61219 2.03904 2.35041 20 | 0.95702 1.61219 1.94238 2.23078 21 | 0.95702 1.98071 2.40042 2.71133 22 | 0.95702 1.61263 2.03280 2.34038 23 | 0.95702 1.61219 2.03904 2.35041 24 | 0.95702 1.61263 1.98996 2.23909 25 | 0.95702 1.61263 2.03866 2.16389 26 | 0.95702 1.79701 2.21805 2.52836 27 | 0.95702 1.61263 2.03904 2.35041 28 | 0.95702 1.61263 2.01882 2.31991 29 | 0.95702 1.61263 2.03280 2.34038 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00674 0.00099 0.00368 0.00661 Issue Based Utilities (2 Issues). IgnoranceQ=0.99. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03483 0.08354 RaS2/1 differ: 0.00000 0.00000 0.11515 0.26439 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.76620 1.10655 1.34431 1.52370 1 | 0.76620 1.11919 1.35140 1.51895 2 | 0.76620 1.13622 1.39198 1.57910 3 | 0.76620 1.14320 1.37619 1.53885 4 | 0.76620 1.20721 1.53353 1.76852 5 | 0.76620 1.14143 1.40022 1.58095 6 | 0.76620 1.11919 1.59614 1.86600 7 | 0.76620 1.13421 1.38399 1.56208 8 | 0.76620 1.27691 1.38625 1.64564 9 | 0.76620 1.22413 1.57110 1.81419 10 | 0.76620 1.34803 1.68347 1.91143 11 | 0.76620 1.28001 1.62549 1.86652 12 | 0.76650 1.25492 1.57212 1.80263 13 | 0.95599 1.44135 1.75627 1.97650 14 | 0.97905 1.46635 1.78074 2.01291 15 | 1.95550 2.93483 3.56596 4.02730 16 | 0.76620 1.13604 1.38036 1.55270 17 | 0.76620 1.15362 1.41382 1.59703 18 | 0.76620 1.15362 1.41457 1.59586 19 | 0.76620 1.25207 1.57221 1.80251 20 | 0.76620 1.25207 1.51956 1.72864 21 | 0.76620 1.47171 1.78563 2.01367 22 | 0.76620 1.25203 1.56933 1.79656 23 | 0.76620 1.25207 1.57221 1.80251 24 | 0.76620 1.25203 1.54372 1.73374 25 | 0.76620 1.25203 1.57333 1.69353 26 | 0.76620 1.36133 1.67837 1.90908 27 | 0.76620 1.25203 1.57221 1.80251 28 | 0.76620 1.25203 1.56075 1.78423 29 | 0.76620 1.25203 1.56933 1.79656 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00260 0.00212 0.00449 0.00148 Issue Based Utilities (3 Issues). IgnoranceQ=0.99. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03531 0.08435 RaS2/1 differ: 0.00000 0.00000 0.11554 0.26542 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.65556 0.95845 1.15931 1.31257 1 | 0.65556 0.96737 1.16423 1.30627 2 | 0.65556 0.98081 1.19401 1.34977 3 | 0.65556 0.98280 1.17827 1.31261 4 | 0.65556 1.02647 1.29552 1.48627 5 | 0.65556 0.98383 1.19730 1.34980 6 | 0.65556 0.96737 1.33982 1.55042 7 | 0.65556 0.97973 1.18749 1.33742 8 | 0.65556 1.07706 1.18751 1.39353 9 | 0.65556 1.03801 1.32065 1.51281 10 | 0.65556 1.12485 1.39770 1.58148 11 | 0.65556 1.07909 1.35617 1.54794 12 | 0.65588 1.06066 1.31809 1.50482 13 | 0.78764 1.18403 1.44073 1.62735 14 | 0.80471 1.20770 1.46411 1.65137 15 | 1.60604 2.40985 2.92929 3.30164 16 | 0.65556 0.97665 1.18881 1.33113 17 | 0.65556 0.99074 1.20751 1.36226 18 | 0.65556 0.99074 1.20918 1.36087 19 | 0.65556 1.06140 1.31967 1.50393 20 | 0.65556 1.06140 1.28161 1.45454 21 | 0.65556 1.20360 1.46685 1.64835 22 | 0.65556 1.06146 1.31681 1.49960 23 | 0.65556 1.06140 1.31967 1.50393 24 | 0.65556 1.06146 1.30067 1.45689 25 | 0.65556 1.06146 1.31901 1.42389 26 | 0.65556 1.13122 1.39129 1.57441 27 | 0.65556 1.06146 1.31967 1.50393 28 | 0.65556 1.06146 1.31156 1.49129 29 | 0.65556 1.06146 1.31681 1.49960 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00337 0.00555 0.00107 0.00110 Issue Based Utilities (4 Issues). IgnoranceQ=0.99. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 499999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03556 0.08499 RaS2/1 differ: 0.00000 0.00000 0.11567 0.26625 Count: 9.99998e+07 9.99998e+07 9.99998e+07 9.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.58284 0.85098 1.03238 1.16988 1 | 0.58284 0.85532 1.03666 1.16444 2 | 0.58284 0.86683 1.05941 1.19832 3 | 0.58284 0.86513 1.04685 1.16543 4 | 0.58284 0.90552 1.13752 1.30297 5 | 0.58284 0.86955 1.06108 1.20035 6 | 0.58284 0.85532 1.17142 1.35122 7 | 0.58284 0.86546 1.05443 1.18876 8 | 0.58284 0.94170 1.05435 1.23350 9 | 0.58284 0.91435 1.15575 1.32459 10 | 0.58284 0.97902 1.21350 1.37439 11 | 0.58284 0.94286 1.18550 1.35401 12 | 0.58323 0.92827 1.15608 1.31681 13 | 0.68439 1.02533 1.25110 1.40855 14 | 0.69530 1.04069 1.26658 1.42633 15 | 1.38851 2.08136 2.53044 2.85222 16 | 0.58284 0.86473 1.05446 1.18366 17 | 0.58284 0.87531 1.06869 1.20647 18 | 0.58284 0.87531 1.06907 1.20533 19 | 0.58284 0.92631 1.15425 1.31299 20 | 0.58284 0.92631 1.12720 1.27346 21 | 0.58284 1.04048 1.26405 1.42783 22 | 0.58284 0.92623 1.15285 1.30973 23 | 0.58284 0.92631 1.15425 1.31299 24 | 0.58284 0.92623 1.13961 1.27810 25 | 0.58284 0.92623 1.15353 1.25544 26 | 0.58284 0.98192 1.21080 1.37009 27 | 0.58284 0.92623 1.15425 1.31299 28 | 0.58284 0.92623 1.14790 1.30254 29 | 0.58284 0.92623 1.15285 1.30973 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00208 0.00002 0.00273 0.00044 ================================================================= Seeding with 7654331 drand48 0.520721 0.184917 0.857560 0.382667 0.276919 drand48 0.898076 0.279644 0.558683 0.780605 0.691380 random 44f1508e 3669b1ea 20620d66 24900c3b 1973ac13 random 2299e6c 6f1869a1 2783449 17a5de0b d3ec98c random 45688931 3214587a 5002cf1e 27f623da 7e6079fd random 4c5d63ea 2392f447 11730aef 23cff33b 7f978143 RAND_MAX 7fffffff Coveyou f05625e5 bc417a1f 979fac66 545c118a 35439 Coveyou 41b692ea 28424797 7a6abd73 ca6cac2f c28442ab Coveyou 1faa222b abd8d7ea 7304241e bf5bc19e d80d1074 Coveyou ebcf54e2 c31e4333 617aa36e d6787f4a 5785b009 Coveyou 1273c465 e1b744d0 963a56e9 598d2066 183cee10 Coveyou e7b84d50 c466725b 47cccd1f 1383aa4d 97a5430c ParkMiller 1488f6ba 62d85402 5b40900a 77df2dbb 29503120 ParkMiller 2a36f72a 1a807de0 729746ce 42b60967 db28826 myrand 0.612451 0.555885 0.712181 0.160968 0.772932 myrand 0.872835 0.568138 0.426369 0.462156 0.263961 myrand 0.312097 0.875428 0.895519 0.205159 0.734471 myrand 0.079072 0.945634 0.607768 0.470949 0.340458 Random 0-1 Utilities. (0 issues.) IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02922 0.07265 RaS2/1 differ: 0.00000 0.00000 0.10678 0.23860 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.90352 1.08777 1.24015 1.35393 1 | 0.90352 1.20990 1.38217 1.49771 2 | 0.90352 1.29148 1.53877 1.71467 3 | 0.90352 1.38988 1.69303 1.91238 4 | 0.90352 1.44614 1.89971 2.31506 5 | 0.90352 1.32228 1.57531 1.74469 6 | 0.90352 1.20990 1.97607 2.82386 7 | 0.90352 1.27676 1.49398 1.64229 8 | 0.90352 1.75919 1.66535 1.97392 9 | 0.90352 1.50128 2.19642 2.79542 10 | 0.90352 1.89399 2.80660 3.48938 11 | 0.90352 1.75929 2.52782 3.10553 12 | 0.90584 2.03805 2.79353 3.36429 13 | 2.17981 3.27657 3.97675 4.48450 14 | 2.31224 3.46017 4.18815 4.76179 15 | 4.61414 6.91717 8.39703 9.48513 16 | 0.90352 1.19681 1.44920 1.64860 17 | 0.90352 1.39129 1.71005 1.94165 18 | 0.90352 1.39129 1.70936 1.92030 19 | 0.90352 2.05512 2.79293 3.32804 20 | 0.90352 2.05512 2.42449 2.84852 21 | 0.90352 3.45154 4.18659 4.76833 22 | 0.90352 2.05305 2.77259 3.29087 23 | 0.90352 2.05512 2.79293 3.32804 24 | 0.90352 2.05305 2.59613 2.86082 25 | 0.90352 2.05305 2.78650 2.69202 26 | 0.90352 2.75180 3.51575 4.04161 27 | 0.90352 2.05305 2.79293 3.32804 28 | 0.90352 2.05305 2.71927 3.20657 29 | 0.90352 2.05305 2.77259 3.29087 200 RandUtil[4cand] 1.24015 2.80660 2.263 1.70936 2.79293 1.634 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.01033 0.00317 0.02074 0.03845 Issue Based Utilities (1 Issue). IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03138 0.07664 RaS2/1 differ: 0.00000 0.00000 0.11132 0.25182 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.71928 0.96660 1.15102 1.29036 1 | 0.71928 1.00834 1.20064 1.32816 2 | 0.71928 1.04803 1.27093 1.43756 3 | 0.71928 1.10051 1.34741 1.52549 4 | 0.71928 1.16825 1.53216 1.82747 5 | 0.71928 1.06330 1.28384 1.45141 6 | 0.71928 1.00834 1.64737 2.12437 7 | 0.71928 1.04195 1.25186 1.40449 8 | 0.71928 1.40072 1.30757 1.63860 9 | 0.71928 1.19915 1.65347 2.01437 10 | 0.71928 1.46757 1.97232 2.31169 11 | 0.71928 1.40269 1.88972 2.23156 12 | 0.72101 1.36774 1.77996 2.12028 13 | 1.26374 1.90033 2.30352 2.60530 14 | 1.31885 1.98175 2.39249 2.72279 15 | 2.63987 3.95108 4.79845 5.43104 16 | 0.71928 1.01682 1.23540 1.40059 17 | 0.71928 1.08946 1.33821 1.52376 18 | 0.71928 1.08946 1.33354 1.51946 19 | 0.71928 1.36694 1.80779 2.10338 20 | 0.71928 1.36694 1.65010 1.90543 21 | 0.71928 1.98194 2.38973 2.71110 22 | 0.71928 1.36801 1.79778 2.08778 23 | 0.71928 1.36694 1.80779 2.10338 24 | 0.71928 1.36801 1.72496 1.90845 25 | 0.71928 1.36801 1.79159 1.85825 26 | 0.71928 1.67568 2.09796 2.40833 27 | 0.71928 1.36801 1.80779 2.10338 28 | 0.71928 1.36801 1.77544 2.05206 29 | 0.71928 1.36801 1.79778 2.08778 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00216 0.01242 0.01347 0.01453 Issue Based Utilities (2 Issues). IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03257 0.07909 RaS2/1 differ: 0.00000 0.00000 0.11305 0.25670 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.61457 0.85541 1.02365 1.15107 1 | 0.61457 0.88154 1.04785 1.16551 2 | 0.61457 0.90208 1.09657 1.24695 3 | 0.61457 0.93532 1.12909 1.26479 4 | 0.61457 0.99103 1.28419 1.51231 5 | 0.61457 0.91063 1.10370 1.25190 6 | 0.61457 0.88154 1.38263 1.70445 7 | 0.61457 0.89979 1.08682 1.22092 8 | 0.61457 1.13252 1.10930 1.36062 9 | 0.61457 1.00945 1.35691 1.61387 10 | 0.61457 1.19426 1.56673 1.80612 11 | 0.61457 1.13544 1.49971 1.73833 12 | 0.61495 1.10230 1.41819 1.64681 13 | 0.94867 1.42112 1.72318 1.94831 14 | 0.98042 1.47126 1.77847 2.00553 15 | 1.95989 2.94279 3.56656 4.02526 16 | 0.61457 0.88891 1.07346 1.20784 17 | 0.61457 0.93386 1.14147 1.28530 18 | 0.61457 0.93386 1.13640 1.28559 19 | 0.61457 1.10643 1.41989 1.64426 20 | 0.61457 1.10643 1.32110 1.52109 21 | 0.61457 1.46955 1.78394 2.01129 22 | 0.61457 1.10671 1.41297 1.63515 23 | 0.61457 1.10643 1.41989 1.64426 24 | 0.61457 1.10671 1.37052 1.53383 25 | 0.61457 1.10671 1.40912 1.47567 26 | 0.61457 1.29214 1.59605 1.82806 27 | 0.61457 1.10671 1.41989 1.64426 28 | 0.61457 1.10671 1.39799 1.61335 29 | 0.61457 1.10671 1.41297 1.63515 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00095 0.00027 0.00962 0.01420 Issue Based Utilities (3 Issues). IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03340 0.08062 RaS2/1 differ: 0.00000 0.00000 0.11389 0.25980 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.54446 0.76841 0.91791 1.04565 1 | 0.54446 0.78873 0.93849 1.05203 2 | 0.54446 0.80370 0.97547 1.11024 3 | 0.54446 0.81747 0.99958 1.11189 4 | 0.54446 0.86972 1.12337 1.31620 5 | 0.54446 0.81117 0.98139 1.11494 6 | 0.54446 0.78873 1.19381 1.44805 7 | 0.54446 0.80189 0.96682 1.09305 8 | 0.54446 0.96331 0.99087 1.20298 9 | 0.54446 0.88663 1.17495 1.38261 10 | 0.54446 1.02509 1.31976 1.51272 11 | 0.54446 0.96575 1.27512 1.47172 12 | 0.54415 0.94259 1.20682 1.39219 13 | 0.78814 1.16168 1.42833 1.60921 14 | 0.79747 1.19919 1.46514 1.64678 15 | 1.61082 2.39725 2.93196 3.30026 16 | 0.54446 0.79213 0.96138 1.08519 17 | 0.54446 0.82047 1.01084 1.14012 18 | 0.54446 0.82047 1.00653 1.13607 19 | 0.54446 0.93926 1.20358 1.38947 20 | 0.54446 0.93926 1.13485 1.30200 21 | 0.54446 1.20360 1.46655 1.65343 22 | 0.54446 0.93924 1.19888 1.38272 23 | 0.54446 0.93926 1.20358 1.38947 24 | 0.54446 0.93924 1.17280 1.30278 25 | 0.54446 0.93924 1.20756 1.26999 26 | 0.54446 1.08039 1.33146 1.52418 27 | 0.54446 0.93924 1.20358 1.38947 28 | 0.54446 0.93924 1.19002 1.36712 29 | 0.54446 0.93924 1.19888 1.38272 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.01588 0.00113 0.00169 0.00671 Issue Based Utilities (4 Issues). IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each candidate utility (for each voter) normalized to lie somewhere in [0,1]. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.03396 0.08183 RaS2/1 differ: 0.00000 0.00000 0.11456 0.26175 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 0.49613 0.70198 0.84632 0.96173 1 | 0.49613 0.71716 0.85953 0.96637 2 | 0.49613 0.73359 0.89136 1.01554 3 | 0.49613 0.73937 0.89656 1.00446 4 | 0.49613 0.78474 1.01076 1.18313 5 | 0.49613 0.73711 0.89615 1.01550 6 | 0.49613 0.71716 1.06611 1.27684 7 | 0.49613 0.73261 0.88318 0.99842 8 | 0.49613 0.85444 0.89396 1.08248 9 | 0.49613 0.80211 1.04605 1.22741 10 | 0.49613 0.91502 1.15539 1.32409 11 | 0.49613 0.85701 1.11309 1.28905 12 | 0.49668 0.83676 1.06453 1.22531 13 | 0.67645 1.01400 1.22861 1.39028 14 | 0.69326 1.03761 1.26545 1.42839 15 | 1.38956 2.08099 2.52414 2.85531 16 | 0.49613 0.72421 0.88302 0.99384 17 | 0.49613 0.74612 0.91499 1.03574 18 | 0.49613 0.74612 0.91505 1.03441 19 | 0.49613 0.83909 1.06072 1.22861 20 | 0.49613 0.83909 1.00567 1.16016 21 | 0.49613 1.04308 1.26142 1.42638 22 | 0.49613 0.83963 1.05714 1.22442 23 | 0.49613 0.83909 1.06072 1.22861 24 | 0.49613 0.83963 1.03417 1.16803 25 | 0.49613 0.83963 1.06324 1.12700 26 | 0.49613 0.93657 1.16210 1.32643 27 | 0.49613 0.83963 1.06072 1.22861 28 | 0.49613 0.83963 1.04991 1.21174 29 | 0.49613 0.83963 1.05714 1.22442 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.00304 0.00576 0.00676 0.00146 Random-Normal(0,1) Utilities (infinite issue limit). IgnoranceQ=0.49. Canddt-Dependent. 200 voters. Each regret datapoint averages 99999 expts. HONESTYSTATS (re strategic range voting): RaS2 misorder: 0.00000 0.00000 0.02923 0.07276 RaS2/1 differ: 0.00000 0.00000 0.10815 0.24205 Count: 1.99998e+07 1.99998e+07 1.99998e+07 1.99998e+07 system|2 canddts 3 canddts 4 canddts 5 canddts ------+--------- --------- --------- --------- 0 | 1.60389 1.36710 1.16953 1.03017 1 | 1.60389 1.82803 1.80834 1.78013 2 | 1.60389 2.16244 2.42479 2.57387 3 | 1.60389 2.44165 3.01984 3.42373 4 | 1.60389 2.47244 3.07757 3.50503 5 | 1.60389 2.31313 2.60966 2.71591 6 | 1.60389 1.82803 2.57138 3.38433 7 | 1.60389 2.11134 2.23953 2.27342 8 | 1.60389 3.24453 3.42425 4.08745 9 | 1.60389 2.57149 3.90236 4.97646 10 | 1.60389 3.16212 4.43047 5.53898 11 | 1.60389 3.24453 4.74896 5.97307 12 | 1.60443 5.54622 8.19401 10.09844 13 | 7.32277 11.06189 13.58309 15.21578 14 | 7.92597 11.99680 14.53267 16.39593 15 | 15.93809 23.92164 29.15557 32.90475 16 | 1.60389 1.84872 2.39599 2.84532 17 | 1.60389 2.63590 3.33230 3.87550 18 | 1.60389 2.63590 3.33005 3.86173 19 | 1.60389 5.58564 8.16366 10.05747 20 | 1.60389 5.58564 6.48110 7.90838 21 | 1.60389 11.98160 14.58542 16.44420 22 | 1.60389 5.58994 8.05204 9.88380 23 | 1.60389 5.58564 8.16366 10.05747 24 | 1.60389 5.58994 7.32031 8.09450 25 | 1.60389 5.58994 8.23234 6.96373 26 | 1.60389 8.79328 11.39107 13.24773 27 | 1.60389 5.58994 8.16366 10.05747 28 | 1.60389 5.58994 7.81064 9.49457 29 | 1.60389 5.58994 8.05204 9.88380 Bootstrap additive error estimates for WorstWin from RandomWin*2 (from above data with 2-5 cands): bterr | 0.08615 0.07195 0.09023 0.11289