| APPENDIX TABLE TO ACCOMPANY JAMES ANDREONI, "GIVING GIFTS TO GROUPS: HOW CONGESTIBLE IS ALTRUISM?" UCSD WORKING PAPER AUGUST 1, 2006. | |||||||||||||||||||||||||||||||||||||||||||||||||
| P | |||||||||||||||||||||||||||||||||||||||||||||||||
| In general most subjects were run 120 times within the following parameter bounds | |||||||||||||||||||||||||||||||||||||||||||||||||
| b: (0.0,1.0) | |||||||||||||||||||||||||||||||||||||||||||||||||
| cesAlpha: (0.01,.99) | |||||||||||||||||||||||||||||||||||||||||||||||||
| cesSigma: (-12.45,-.01) | |||||||||||||||||||||||||||||||||||||||||||||||||
| epsSigma: (.03,0.45) | |||||||||||||||||||||||||||||||||||||||||||||||||
| There were two classes of exceptions: subjects for whom the upper bound on eps sigma appeared to be binding and those for whom the lower bound appeared to be binding. In these cases I ran extras trials relaxing that constraint as appropriate. | |||||||||||||||||||||||||||||||||||||||||||||||||
| Subjects for whom epsSigma < .45 appear to bind were 33,45,50,51,59,79,100,105,118 | |||||||||||||||||||||||||||||||||||||||||||||||||
| Subjects for whom epsSigma > .03 appeared to bind were 37,75,104 | |||||||||||||||||||||||||||||||||||||||||||||||||
| The (eps < .45) binding subjects each received 100 more trials with the eps-Sigma constraint reset to (0.3, 0.75) for a total of 220 trials. A smaller subset (Subject 45, 79 and 100) each received an additional 100 trials with this constraint reset to (.5, 1.0) for a total of 320 trials. | |||||||||||||||||||||||||||||||||||||||||||||||||
| The (eps > .03) binding subjects each received 100 more trials with the eps-Sigma constraint reset to (0.01, 0.15) for a total of 220 trials. Subject 75 received an additional 100 trials with this constraint reset to (..002, .05) for a total of 320 trials. | |||||||||||||||||||||||||||||||||||||||||||||||||
| income($): | 400 | 480 | 600 | 900 | 1,200 | 900 | 810 | 1,000 | 1,200 | 1,600 | 400 | 900 | 1,200 | 1,560 | 800 | 1,440 | 420 | 2,000 | 600 | 1,020 | 1,600 | 400 | 600 | 800 | |||||||||||||||||||||||||
| price (v_h / v_p): | 0.25 | 0.33 | 0.5 | 1 | 2 | 0.67 | 0.5 | 1 | 2 | 4 | 0.33 | 1 | 1.5 | 3 | 1 | 2 | 0.5 | 4 | 1 | 2 | 4 | 1 | 2 | 4 | |||||||||||||||||||||||||
| numOthers: | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 3 | 3 | 3 | 3 | 4 | 4 | 4 | 4 | 5 | 5 | 5 | 9 | 9 | 9 | Parameter Estaimates | Inverse Hessian Diags | |||||||||||||||||||||||
| Subject | LL | d[0] | d[1] | d[2] | d[3] | d[4] | d[5] | d[6] | d[7] | d[8] | d[9] | d[10] | d[11] | d[12] | d[13] | d[14] | d[15] | d[16] | d[17] | d[18] | d[19] | d[20] | d[21] | d[22] | d[23] | b | cesAlpha | cesSigma | epsSigma | b | cesAlpha | cesSigma | epsSigma | ||||||||||||||||
| 0 | LL | 320 | 380 | 400 | 450 | 1,000.00 | 540 | 540 | 500 | 1,000.00 | 1,600.00 | 360 | 670 | 900 | 1,500.00 | 640 | 960 | 370 | 2,000.00 | 500 | 720 | 1,520.00 | 360 | 500 | 720 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55 } | |||||||||||||||||||||||
| trials = 120 | 10.205 | 277.5524 | 343.4445 | 446.6244 | 710.1632 | 993.3115 | 687.285 | 602.943 | 789.0702 | 993.3115 | 1376.97 | 286.2038 | 710.1632 | 974.9135 | 1322.35 | 631.2562 | 1191.974 | 312.6371 | 1721.212 | 473.4421 | 844.3148 | 1376.97 | 315.6281 | 496.6557 | 688.4848 | 0 | 0.72 | -1.361 | 0.138 | -0.5384 | -0.0031 | -0.0354 | -0.0005 | ||||||||||||||||
| 10.2049 | 277.4448 | 343.3408 | 446.5361 | 710.1212 | 993.3479 | 687.1927 | 602.8238 | 789.0236 | 993.3479 | 1377.105 | 286.1173 | 710.1212 | 974.915 | 1322.451 | 631.2189 | 1192.018 | 312.5753 | 1721.382 | 473.4141 | 844.3457 | 1377.105 | 315.6094 | 496.674 | 688.5526 | 0 | 0.72 | -1.362 | 0.138 | -0.5397 | -0.0031 | -0.0356 | -0.0005 | |||||||||||||||||
| 10.2039 | 276.1153 | 342.14 | 445.6732 | 710.1976 | 994.8085 | 686.5095 | 601.6588 | 789.1085 | 994.8085 | 1380.273 | 285.1167 | 710.1976 | 975.868 | 1325.111 | 631.2868 | 1193.77 | 311.9713 | 1725.342 | 473.4651 | 845.5872 | 1380.273 | 315.6434 | 497.4042 | 690.1367 | 0 | 0.72 | -1.374 | 0.139 | -0.5025 | -0.0029 | -0.0358 | -0.0005 | |||||||||||||||||
| 1 | LL | 0 | 0 | 0 | 900 | 1,200.00 | 0 | 0 | 1,000.00 | 1,200.00 | 1,600.00 | 0 | 0 | 1,200.00 | 1,560.00 | 0 | 1,440.00 | 0 | 2,000.00 | 0 | 1,020.00 | 1,600.00 | 0 | 0 | 600 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.20, 0.22, 0.25, 0.28, 0.30, 0.32, 0.35, 0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.60, 0.62, 0.65, 0.68, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| Player 1 is nearly perfect substitute at b = 0.0 | |||||||||||||||||||||||||||||||||||||||||||||||||
| 2 | LL | 300 | 290 | 420 | 470 | 460 | 480 | 240 | 310 | 640 | 1,400.00 | 340 | 380 | 720 | 900 | 410 | 820 | 210 | 1,160.00 | 300 | 540 | 1,360.00 | 150 | 300 | 320 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.20, 0.22, 0.25, 0.28 } | |||||||||||||||||||||||
| trials = 120 | 10.8076 | 214.6595 | 261.8157 | 334.6824 | 520.8765 | 719.3035 | 490.9044 | 434.6854 | 557.804 | 694.502 | 959.0713 | 204.6942 | 490.9044 | 669.3648 | 902.8525 | 429.3189 | 803.2377 | 216.4514 | 1157.503 | 317.8837 | 562.0329 | 915.2562 | 204.6942 | 319.8231 | 443.3774 | 1 | 0.57 | -1.123 | 0.155 | -2.7599 | -0.0042 | -0.0301 | -0.0005 | ||||||||||||||||
| 10.8076 | 214.5753 | 261.7164 | 334.5613 | 520.7031 | 719.0839 | 490.7182 | 434.515 | 557.6022 | 694.2708 | 958.7785 | 204.6064 | 490.7182 | 669.1226 | 902.552 | 429.1506 | 802.9471 | 216.3597 | 1157.118 | 317.7559 | 561.8241 | 914.9432 | 204.6064 | 319.696 | 443.2148 | 1 | 0.57 | -1.123 | 0.154 | -2.7089 | -0.0041 | -0.0296 | -0.0005 | |||||||||||||||||
| 10.8075 | 214.5108 | 261.6436 | 334.4785 | 520.5997 | 718.9736 | 490.5818 | 434.3844 | 557.4641 | 694.1329 | 958.6314 | 204.5312 | 490.5818 | 668.9569 | 902.3728 | 429.0217 | 802.7483 | 216.2825 | 1156.888 | 317.6548 | 561.6757 | 914.7474 | 204.5312 | 319.597 | 443.1012 | 1 | 0.57 | -1.123 | 0.154 | -2.6996 | -0.0041 | -0.0296 | -0.0005 | |||||||||||||||||
| 3 | LL | 320 | 360 | 400 | 450 | 400 | 540 | 540 | 500 | 400 | 320 | 300 | 450 | 480 | 390 | 400 | 480 | 280 | 400 | 300 | 500 | 320 | 200 | 240 | 400 | none | |||||||||||||||||||||||
| Player 3 is nearly leontief at b = 0.04 | |||||||||||||||||||||||||||||||||||||||||||||||||
| 4 | LL | 400 | 480 | 600 | 900 | 1,200.00 | 900 | 810 | 1,000.00 | 1,200.00 | 1,600.00 | 400 | 900 | 1,200.00 | 1,560.00 | 800 | 1,440.00 | 420 | 2,000.00 | 600 | 1,020.00 | 1,600.00 | 400 | 600 | 800 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.20, 0.22, 0.25, 0.28, 0.30, 0.32, 0.35, 0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.60, 0.62, 0.65, 0.68, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| Player 4 is nearly selfish | |||||||||||||||||||||||||||||||||||||||||||||||||
| 5 | LL | 160 | 300 | 500 | 900 | 320 | 580 | 500 | 500 | 460 | 600 | 200 | 880 | 210 | 1,560.00 | 750 | 720 | 20 | 1,360.00 | 150 | 240 | 1,360.00 | 200 | 300 | 480 | none | |||||||||||||||||||||||
| trials = 120 | -5.7032 | 211.1367 | 264.9353 | 351.294 | 576.7994 | 831.3214 | 496.7537 | 427.5517 | 585.4899 | 769.0659 | 1108.429 | 183.8226 | 496.7537 | 702.5879 | 999.7857 | 422.2733 | 843.1055 | 197.1653 | 1281.777 | 305.4283 | 578.4504 | 997.4128 | 183.8226 | 310.7566 | 460.651 | 1 | 0.61 | -1.337 | 0.282 | -1.0504 | -0.0071 | -0.1103 | -0.0019 | ||||||||||||||||
| -5.7032 | 211.18 | 264.9847 | 351.3507 | 576.8708 | 831.3978 | 496.8463 | 427.6395 | 585.5845 | 769.161 | 1108.53 | 183.8711 | 496.8463 | 702.7014 | 999.9093 | 422.36 | 843.2417 | 197.2155 | 1281.935 | 305.4957 | 578.5516 | 997.5476 | 183.8711 | 310.8229 | 460.7286 | 1 | 0.61 | -1.337 | 0.282 | -1.0508 | -0.0071 | -0.1102 | -0.0019 | |||||||||||||||||
| -5.7032 | 211.2262 | 265.0401 | 351.4193 | 576.9701 | 831.5224 | 496.9501 | 427.733 | 585.6989 | 769.2935 | 1108.697 | 183.9161 | 496.9501 | 702.8387 | 1000.082 | 422.4524 | 843.4064 | 197.2631 | 1282.156 | 305.5648 | 578.669 | 997.7268 | 183.9161 | 310.8921 | 460.8204 | 1 | 0.61 | -1.337 | 0.282 | -1.0501 | -0.0071 | -0.1101 | -0.0019 | |||||||||||||||||
| 6 | LL | 320 | 360 | 400 | 450 | 900 | 540 | 540 | 500 | 400 | 320 | 300 | 450 | 480 | 390 | 400 | 480 | 280 | 400 | 300 | 340 | 320 | 200 | 200 | 160 | none | |||||||||||||||||||||||
| Player 6 is nearly leontief at b = 0.0 | |||||||||||||||||||||||||||||||||||||||||||||||||
| 7 | LL | 400 | 480 | 600 | 900 | 1,200.00 | 900 | 810 | 1,000.00 | 1,200.00 | 1,600.00 | 400 | 900 | 1,200.00 | 1,560.00 | 800 | 1,440.00 | 420 | 2,000.00 | 600 | 1,020.00 | 1,600.00 | 400 | 600 | 800 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.20, 0.22, 0.25, 0.28, 0.30, 0.32, 0.35, 0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.60, 0.62, 0.65, 0.68, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| Player 7 is nearly selfish | |||||||||||||||||||||||||||||||||||||||||||||||||
| 8 | LL | 310 | 400 | 400 | 410 | 480 | 740 | 390 | 500 | 600 | 400 | 270 | 450 | 1,200.00 | 450 | 230 | 700 | 310 | 320 | 300 | 340 | 320 | 200 | 300 | 800 | none | |||||||||||||||||||||||
| trials = 120 | -0.5674 | 285.9603 | 325.1207 | 372.2078 | 464.1099 | 491.5382 | 553.3829 | 531.372 | 554.1115 | 536.9367 | 552.6557 | 291.361 | 518.6941 | 617.1494 | 636.9067 | 473.5273 | 699.6927 | 289.8028 | 762.2802 | 362.3229 | 508.3004 | 628.7109 | 253.9042 | 318.6369 | 339.6872 | 0.36 | 0.54 | -0.382 | 0.216 | -0.2046 | -0.0479 | -0.0678 | -0.0012 | ||||||||||||||||
| -0.5674 | 285.9148 | 325.0507 | 372.0915 | 463.8651 | 491.1451 | 553.3309 | 531.3476 | 554.0129 | 536.7394 | 552.3189 | 291.3946 | 518.6951 | 617.1041 | 636.7495 | 473.5835 | 699.7015 | 289.8528 | 762.1665 | 362.3964 | 508.3633 | 628.7036 | 254.0059 | 318.7612 | 339.7978 | 0.36 | 0.54 | -0.382 | 0.216 | -0.2044 | -0.048 | -0.0678 | -0.0012 | |||||||||||||||||
| -0.5674 | 285.898 | 325.0396 | 372.0966 | 463.9279 | 491.2967 | 553.3641 | 531.3576 | 554.0864 | 536.8998 | 552.6024 | 291.3885 | 518.7628 | 617.2391 | 637.0108 | 473.6444 | 699.9025 | 289.8593 | 762.5447 | 362.4425 | 508.5073 | 629.0119 | 254.0371 | 318.8478 | 339.9587 | 0.36 | 0.54 | -0.382 | 0.216 | -0.2043 | -0.0479 | -0.0677 | -0.0012 | |||||||||||||||||
| 9 | LL | 400 | 480 | 600 | 900 | 1,200.00 | 800 | 750 | 950 | 1,100.00 | 1,600.00 | 350 | 850 | 1,200.00 | 1,560.00 | 750 | 1,360.00 | 400 | 2,000.00 | 580 | 1,020.00 | 1,600.00 | 380 | 600 | 720 | {0.00, 0.05, 0.08, 0.12, 0.18, 0.22, 0.28, 0.32, 0.35, 0.38, 0.40, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.65, 0.70, 0.75, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| trials = 120 | 7.7904 | 390.3974 | 474.3193 | 597.4053 | 899.3103 | 1199.838 | 892.2022 | 795.7172 | 996.8404 | 1199.329 | 1599.842 | 359.2245 | 893.5052 | 1196.845 | 1559.274 | 789.6565 | 1436.677 | 390.9961 | 1999.183 | 587.8417 | 1016.288 | 1598.969 | 374.2192 | 592.7886 | 798.2852 | 0.82 | 0.89 | -3.502 | 0.061 | -0.0851 | -0.0023 | -15.6782 | -0.0002 | ||||||||||||||||
| 7.7849 | 391.8774 | 475.6609 | 598.2835 | 899.6427 | 1199.934 | 894.3092 | 798.4555 | 998.0027 | 1199.668 | 1599.939 | 357.6523 | 895.3848 | 1198.058 | 1559.65 | 792.0121 | 1437.993 | 391.4754 | 1999.614 | 589.9847 | 1017.609 | 1599.48 | 374.9168 | 594.4947 | 798.9759 | 0.82 | 0.88 | -3.853 | 0.062 | -0.1597 | -0.0102 | -218.521 | -0.0005 | |||||||||||||||||
| 7.7838 | 392.3573 | 475.8629 | 598.3313 | 899.6408 | 1199.931 | 894.2986 | 798.5931 | 997.9591 | 1199.649 | 1599.933 | 358.4957 | 895.2398 | 1197.957 | 1559.619 | 791.7075 | 1437.844 | 391.3687 | 1999.571 | 589.5523 | 1017.419 | 1599.419 | 373.5499 | 593.9783 | 798.8405 | 0.84 | 0.89 | -3.804 | 0.062 | 0.0768 | 0.0081 | 173.0508 | 0 | |||||||||||||||||
| 10 | LL | 300 | 300 | 200 | 500 | 600 | 800 | 200 | 750 | 400 | 600 | 300 | 700 | 900 | 1,500.00 | 450 | 600 | 200 | 2,000.00 | 400 | 200 | 1,200.00 | 250 | 400 | 200 | none | |||||||||||||||||||||||
| trials = 120 | -0.2854 | 240.2905 | 287.2583 | 357.1478 | 530.7683 | 701.0594 | 538.1913 | 486.2127 | 594.7806 | 707.1298 | 933.9947 | 242.5498 | 537.9467 | 713.4097 | 918.8419 | 479.839 | 855.8132 | 254.2084 | 1177.614 | 360.8459 | 607.8517 | 944.6914 | 242.2573 | 360.1115 | 475.7627 | 0.92 | 0.59 | -0.967 | 0.231 | -79.6948 | -0.0093 | -0.065 | -0.0012 | ||||||||||||||||
| -0.2856 | 240.3636 | 287.3456 | 357.2561 | 530.9287 | 701.2704 | 538.2426 | 486.2598 | 594.8359 | 707.1928 | 934.0739 | 242.5453 | 537.9321 | 713.3881 | 918.8089 | 479.7857 | 855.7123 | 254.1818 | 1177.467 | 360.7825 | 607.7402 | 944.5109 | 242.174 | 359.9842 | 475.5898 | 0.89 | 0.59 | -0.967 | 0.231 | -81.0222 | -0.0095 | -0.067 | -0.0012 | |||||||||||||||||
| -0.2864 | 240.5948 | 287.6658 | 357.7318 | 531.837 | 702.743 | 538.4007 | 486.3308 | 595.1363 | 707.8106 | 935.2435 | 242.3675 | 537.8314 | 713.4026 | 919.1605 | 479.463 | 855.4349 | 253.9246 | 1177.507 | 360.4052 | 607.3125 | 944.1782 | 241.686 | 359.3758 | 474.9451 | 0.79 | 0.59 | -0.968 | 0.231 | -102.948 | -0.0108 | -0.0822 | -0.0012 | |||||||||||||||||
| 11 | LL | 30 | 10 | 80 | 410 | 400 | 300 | 10 | 500 | 240 | 520 | 40 | 10 | 300 | 300 | 250 | 480 | 20 | 400 | 50 | 100 | 320 | 100 | 200 | 400 | {0.00, 0.02, 0.08, 0.12, 0.15, 0.62, 0.65 } | |||||||||||||||||||||||
| trials = 120 | 14.8875 | 50.46805 | 68.52096 | 101.4967 | 200.7553 | 345.8151 | 159.1411 | 127.1771 | 208.0064 | 324.3095 | 548.9116 | 50.53257 | 179.5981 | 280.3287 | 468.9554 | 154.9712 | 364.3991 | 61.14211 | 646.5705 | 113.5648 | 252.6269 | 507.2706 | 71.18217 | 140.3215 | 240.736 | 0.26 | 0.3 | -1.496 | 0.13 | -0.2616 | -0.0027 | -0.0418 | -0.0004 | ||||||||||||||||
| 14.8875 | 50.4737 | 68.53521 | 101.5307 | 200.8614 | 346.0503 | 159.1378 | 127.1621 | 208.0288 | 324.407 | 549.1595 | 50.50523 | 179.5719 | 280.3242 | 469.039 | 154.9203 | 364.3631 | 61.10639 | 646.6333 | 113.5112 | 252.5685 | 507.2597 | 71.12109 | 140.2389 | 240.6531 | 0.26 | 0.3 | -1.496 | 0.13 | -0.2611 | -0.0027 | -0.0418 | -0.0004 | |||||||||||||||||
| 14.8875 | 50.51588 | 68.58748 | 101.5979 | 200.9605 | 346.1672 | 159.193 | 127.2144 | 208.0827 | 324.4464 | 549.1618 | 50.52297 | 179.5931 | 280.3357 | 469.0039 | 154.9227 | 364.3248 | 61.1158 | 646.5015 | 113.5039 | 252.5229 | 507.121 | 71.10119 | 140.1851 | 240.5418 | 0.26 | 0.3 | -1.496 | 0.13 | -0.2611 | -0.0027 | -0.0418 | -0.0004 | |||||||||||||||||
| 12 | LL | 0 | 0 | 0 | 450 | 400 | 0 | 0 | 500 | 400 | 1,600.00 | 0 | 450 | 480 | 390 | 400 | 1,240.00 | 0 | 400 | 300 | 340 | 320 | 200 | 200 | 160 | none | |||||||||||||||||||||||
| trials = 120 | -11.4585 | 25.25758 | 41.51222 | 79.53901 | 231.6091 | 527.9956 | 137.024 | 91.82419 | 224.7506 | 475.9499 | 957.5532 | 26.64182 | 186.3843 | 355.891 | 762.4484 | 156.1606 | 510.9406 | 40.58581 | 1109.917 | 111.8024 | 348.6225 | 865.1765 | 65.79308 | 185.1692 | 402.4089 | 0.22 | 0.38 | -2.181 | 0.322 | -0.2402 | -0.0059 | -0.2626 | -0.0038 | ||||||||||||||||
| -11.4585 | 25.29067 | 41.53026 | 79.4822 | 231.0858 | 526.4391 | 137.2344 | 92.04683 | 224.8396 | 475.4587 | 956.0409 | 26.79419 | 186.7674 | 356.2143 | 762.0858 | 156.6722 | 511.5489 | 40.81691 | 1109.731 | 112.2772 | 349.3088 | 865.4817 | 66.2465 | 185.9388 | 403.1656 | 0.21 | 0.38 | -2.178 | 0.322 | -0.2416 | -0.0059 | -0.2617 | -0.0038 | |||||||||||||||||
| -11.4585 | 25.16776 | 41.37895 | 79.32393 | 231.1897 | 527.4757 | 136.8438 | 91.67487 | 224.5496 | 475.814 | 957.6332 | 26.605 | 186.3249 | 355.8901 | 762.7124 | 156.1771 | 511.2085 | 40.56566 | 1110.655 | 111.852 | 348.9039 | 865.9344 | 65.88302 | 185.4659 | 403.0084 | 0.22 | 0.38 | -2.182 | 0.322 | -0.2405 | -0.0059 | -0.2634 | -0.0038 | |||||||||||||||||
| 13 | LL | 0 | 0 | 0 | 900 | 1,200.00 | 0 | 0 | 0 | 1,200.00 | 1,600.00 | 0 | 0 | 0 | 1,560.00 | 0 | 0 | 0 | 2,000.00 | 0 | 0 | 1,600.00 | 0 | 0 | 0 | {0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.60, 0.62, 0.65, 0.68, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| Player 13 is nearly perfect substitute at b = 0.44 | |||||||||||||||||||||||||||||||||||||||||||||||||
| 14 | LL | 320 | 360 | 400 | 450 | 400 | 540 | 540 | 500 | 400 | 320 | 300 | 450 | 480 | 390 | 400 | 480 | 300 | 400 | 300 | 340 | 320 | 400 | 600 | 800 | {0.00, 0.02 } | |||||||||||||||||||||||
| trials = 120 | 0.7613 | 269.4089 | 295.1937 | 316.1458 | 337.9539 | 294.0819 | 552.3412 | 544.5941 | 525.5686 | 449.0927 | 390.5191 | 323.1832 | 551.6696 | 629.7408 | 582.6715 | 536.9219 | 754.8873 | 332.1404 | 745.9703 | 427.8138 | 584.3586 | 672.0203 | 322.6527 | 415.5026 | 438.9635 | 0.99 | 0.01 | -0.111 | 0.194 | -0.0805 | 0.0014 | 0.0002 | -0.001 | ||||||||||||||||
| 0.7504 | 274.252 | 301.172 | 323.4878 | 347.0169 | 302.2098 | 558.3172 | 550.0562 | 531.6313 | 454.1304 | 393.9069 | 324.6487 | 554.5633 | 632.674 | 583.8985 | 537.9698 | 754.7066 | 332.9979 | 742.7238 | 427.8164 | 582.7548 | 667.0104 | 321.6764 | 412.6777 | 433.3177 | 0.95 | 0.01 | -0.101 | 0.193 | -0.0751 | 0.0012 | -0.0015 | -0.001 | |||||||||||||||||
| 0.7471 | 274.4069 | 301.3639 | 323.7248 | 347.3114 | 302.4751 | 557.2032 | 549.1434 | 530.2928 | 452.5556 | 392.1899 | 324.097 | 552.5761 | 629.8473 | 580.3749 | 535.828 | 750.2739 | 332.1726 | 736.8753 | 426.0549 | 579.1256 | 661.2916 | 320.4069 | 410.0599 | 429.2528 | 0.94 | 0.01 | -0.101 | 0.193 | -0.0743 | 0.0015 | -0.0006 | -0.001 | |||||||||||||||||
| 15 | LL | 340 | 400 | 500 | 700 | 800 | 700 | 660 | 670 | 620 | 680 | 370 | 690 | 870 | 810 | 650 | 1,140.00 | 370 | 1,040.00 | 500 | 740 | 960 | 360 | 500 | 560 | none | |||||||||||||||||||||||
| trials = 120 | 35.4717 | 348.9511 | 404.7568 | 475.975 | 614.7046 | 656.9337 | 727.55 | 682.6628 | 750.6153 | 753.8761 | 778.9513 | 360.5424 | 706.8631 | 867.6883 | 927.3802 | 646.2895 | 1011.504 | 370.5245 | 1139.899 | 494.4091 | 738.9149 | 953.7673 | 344.5739 | 466.3793 | 529.691 | 0.58 | 0.99 | -0.167 | 0.055 | -0.0098 | -0.0001 | -0.0012 | -0.0001 | ||||||||||||||||
| 35.4655 | 348.7549 | 404.4488 | 475.4351 | 613.4249 | 654.6614 | 726.4756 | 681.8839 | 749.0545 | 751.238 | 774.7619 | 360.2699 | 705.4409 | 865.2842 | 923.215 | 645.0337 | 1008.136 | 370.1303 | 1133.892 | 493.4793 | 736.5201 | 948.8264 | 343.9916 | 465.0008 | 527.1251 | 0.57 | 0.99 | -0.166 | 0.055 | -0.0099 | -0.0001 | -0.0014 | -0.0001 | |||||||||||||||||
| 35.4633 | 348.5808 | 404.2007 | 475.0506 | 612.6643 | 653.5035 | 727.2476 | 682.4782 | 750.0909 | 752.7881 | 776.9684 | 360.6627 | 707.1173 | 867.9391 | 927.3664 | 646.8911 | 1012.638 | 370.7828 | 1141.218 | 495.044 | 740.1826 | 955.7515 | 345.2297 | 467.696 | 531.7707 | 0.59 | 0.99 | -0.166 | 0.055 | -0.0097 | -0.0001 | -0.0013 | -0.0001 | |||||||||||||||||
| 16 | LL | 400 | 480 | 600 | 900 | 1,200.00 | 900 | 810 | 1,000.00 | 1,200.00 | 1,600.00 | 400 | 900 | 1,200.00 | 1,560.00 | 800 | 1,440.00 | 420 | 2,000.00 | 600 | 1,020.00 | 1,600.00 | 400 | 600 | 800 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.20, 0.22, 0.25, 0.28, 0.30, 0.32, 0.35, 0.38, 0.40, 0.42, 0.45, 0.48, 0.50, 0.52, 0.55, 0.58, 0.60, 0.62, 0.65, 0.68, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| Player 16 is nearly selfish | |||||||||||||||||||||||||||||||||||||||||||||||||
| 17 | LL | 350 | 260 | 400 | 850 | 1,180.00 | 600 | 610 | 850 | 1,100.00 | 1,560.00 | 150 | 750 | 1,080.00 | 1,350.00 | 700 | 1,360.00 | 170 | 2,000.00 | 50 | 900 | 1,280.00 | 0 | 600 | 800 | {0.60, 0.62, 0.65, 0.68 } | |||||||||||||||||||||||
| trials = 120 | -0.533 | 246.9111 | 369.2364 | 541.6057 | 883.4367 | 1196.1 | 718.0529 | 531.5937 | 916.53 | 1181.292 | 1595.606 | 85.59677 | 731.9652 | 1108.535 | 1537.934 | 554.6389 | 1337.138 | 118.5114 | 1973.599 | 345.6583 | 904.292 | 1565.174 | 104.9621 | 403.0096 | 737.3278 | 0.9 | 0.76 | -3.524 | 0.203 | -0.0239 | -0.001 | -0.733 | -0.0011 | ||||||||||||||||
| -0.5333 | 245.8117 | 368.1319 | 540.8235 | 883.1434 | 1196.018 | 716.9599 | 530.4575 | 915.8123 | 1181.061 | 1595.537 | 85.63819 | 731.3699 | 1108.012 | 1537.73 | 554.5017 | 1336.761 | 118.7094 | 1973.414 | 345.9429 | 904.1698 | 1565.027 | 105.6746 | 403.8093 | 737.4961 | 0.9 | 0.75 | -3.519 | 0.203 | -0.0237 | -0.001 | -0.7256 | -0.0011 | |||||||||||||||||
| -0.5335 | 246.7235 | 368.5965 | 540.7963 | 882.9663 | 1195.934 | 716.8797 | 531.1272 | 915.3111 | 1180.748 | 1595.416 | 86.4509 | 730.8151 | 1107.161 | 1537.284 | 554.108 | 1335.561 | 119.3774 | 1972.815 | 345.8008 | 903.0237 | 1564.292 | 105.8743 | 402.8075 | 736.4674 | 0.9 | 0.76 | -3.505 | 0.203 | -0.0241 | -0.001 | -0.7127 | -0.0011 | |||||||||||||||||
| 18 | LL | 300 | 360 | 400 | 700 | 1,200.00 | 600 | 600 | 900 | 1,200.00 | 1,600.00 | 350 | 590 | 1,200.00 | 1,560.00 | 500 | 1,000.00 | 300 | 2,000.00 | 500 | 740 | 1,200.00 | 300 | 400 | 600 | {0.80, 0.82, 0.88, 0.90, 0.92, 0.95, 0.98, 1.00 } | |||||||||||||||||||||||
| trials = 120 | 3.9464 | 303.112 | 379.7424 | 499.3147 | 798.4325 | 1110.855 | 719.2602 | 621.0546 | 838.979 | 1070.401 | 1486.464 | 265.486 | 723.3993 | 1011.415 | 1395.816 | 620.3642 | 1217.582 | 287.8666 | 1793.339 | 450.9388 | 843.9994 | 1413.987 | 272.3863 | 463.1224 | 674.2806 | 0.89 | 0.78 | -1.665 | 0.14 | -0.2199 | -0.0019 | -0.0669 | -0.0006 | ||||||||||||||||
| 3.9464 | 303.0027 | 379.6443 | 499.2407 | 798.4076 | 1110.882 | 719.1729 | 620.9307 | 838.9453 | 1070.442 | 1486.565 | 265.3794 | 723.3661 | 1011.434 | 1395.923 | 620.3332 | 1217.654 | 287.7916 | 1793.522 | 450.9148 | 844.0565 | 1414.151 | 272.3697 | 463.1662 | 674.3887 | 0.89 | 0.78 | -1.666 | 0.14 | -0.2191 | -0.0019 | -0.0669 | -0.0006 | |||||||||||||||||
| 3.9463 | 303.1212 | 379.8361 | 499.5381 | 798.9012 | 1111.493 | 719.34 | 620.9818 | 839.2545 | 1070.93 | 1487.213 | 265.1424 | 723.4256 | 1011.681 | 1396.434 | 620.2066 | 1217.848 | 287.5336 | 1794.071 | 450.6975 | 844.0564 | 1414.469 | 271.9652 | 462.8794 | 674.3066 | 0.89 | 0.78 | -1.668 | 0.14 | -0.219 | -0.0019 | -0.0675 | -0.0006 | |||||||||||||||||
| 19 | LL | 330 | 370 | 410 | 460 | 420 | 580 | 560 | 520 | 440 | 400 | 330 | 480 | 570 | 480 | 440 | 560 | 320 | 560 | 350 | 440 | 520 | 290 | 380 | 520 | {0.00, 0.05, 0.08, 0.10, 0.12, 0.15, 0.30, 0.35, 0.42, 0.52 } | |||||||||||||||||||||||
| trials = 120 | 30.554 | 305.244 | 341.454 | 376.93 | 422.8849 | 380.8428 | 577.7868 | 567.7629 | 551.456 | 470.4676 | 404.4273 | 322.1749 | 538.3782 | 606.1575 | 543.9906 | 504.2892 | 679.9145 | 321.2025 | 638.7282 | 392.7309 | 508.4381 | 548.2942 | 285.7381 | 340.4546 | 326.0828 | 0.51 | 0.15 | -0.069 | 0.068 | -0.0094 | -0.1388 | -0.0068 | -0.0001 | ||||||||||||||||
| 30.5535 | 305.3231 | 341.5809 | 377.1487 | 423.3392 | 381.4909 | 577.9752 | 567.8847 | 551.7486 | 470.9393 | 405.0667 | 322.1719 | 538.5275 | 606.4463 | 544.4967 | 504.3526 | 680.2037 | 321.193 | 639.281 | 392.7403 | 508.5744 | 548.6546 | 285.6853 | 340.4281 | 326.1379 | 0.51 | 0.15 | -0.07 | 0.068 | -0.0096 | -0.1411 | -0.0067 | -0.0001 | |||||||||||||||||
| 30.5529 | 305.7079 | 342.092 | 377.8487 | 424.3863 | 382.6206 | 578.4064 | 568.2619 | 552.2165 | 471.3859 | 405.4387 | 322.2215 | 538.5852 | 606.4683 | 544.4053 | 504.1875 | 679.767 | 321.1511 | 638.608 | 392.4987 | 508.0361 | 547.7746 | 285.3474 | 339.7701 | 325.2115 | 0.5 | 0.16 | -0.069 | 0.068 | -0.0097 | -0.1485 | -0.0066 | -0.0001 | |||||||||||||||||
| 20 | LL | 320 | 370 | 400 | 450 | 400 | 680 | 650 | 670 | 600 | 560 | 300 | 540 | 780 | 780 | 640 | 960 | 370 | 1,000.00 | 500 | 720 | 880 | 360 | 480 | 520 | {0.00, 1.00 } | |||||||||||||||||||||||
| Player 20 is nearly leontief at b = 0.87 | |||||||||||||||||||||||||||||||||||||||||||||||||
| 21 | LL | 300 | 400 | 500 | 700 | 1,000.00 | 800 | 450 | 800 | 800 | 1,200.00 | 250 | 450 | 810 | 960 | 500 | 1,000.00 | 300 | 1,200.00 | 400 | 700 | 1,400.00 | 300 | 400 | 600 | {0.00, 0.02, 0.05, 0.08, 0.10, 0.12, 0.15, 0.18, 0.20, 0.22, 0.25, 0.28, 0.30, 0.32, 0.70, 0.72, 0.75, 0.78, 0.80, 0.82, 0.85, 1.00 } | |||||||||||||||||||||||
| trials = 120 | 22.1069 | 279.626 | 339.4954 | 431.182 | 663.6724 | 906.437 | 636.5538 | 566.2427 | 718.6367 | 884.8965 | 1208.583 | 270.0862 | 636.5538 | 862.3641 | 1150.365 | 559.252 | 1034.837 | 285.071 | 1474.827 | 415.5611 | 726.6694 | 1170.332 | 270.0862 | 417.3979 | 572.2928 | 1 | 0.71 | -1.137 | 0.096 | -1.6131 | -0.0013 | -0.0233 | -0.0002 | ||||||||||||||||
| 22.1066 | 279.7107 | 339.5334 | 431.1216 | 663.3232 | 905.6587 | 636.625 | 566.4142 | 718.5361 | 884.431 | 1207.545 | 270.3288 | 636.625 | 862.2433 | 1149.76 | 559.4214 | 1034.692 | 285.3009 | 1474.052 | 415.7515 | 726.6666 | 1169.855 | 270.3288 | 417.5582 | 572.2534 | 1 | 0.71 | -1.135 | 0.096 | -1.7458 | -0.0014 | -0.0244 | -0.0002 | |||||||||||||||||
| 22.1062 | 279.5466 | 339.3504 | 430.9169 | 663.0748 | 905.4007 | 636.282 | 566.082 | 718.1948 | 884.0997 | 1207.201 | 270.1309 | 636.282 | 861.8338 | 1149.33 | 559.0933 | 1034.201 | 285.0984 | 1473.5 | 415.4917 | 726.2963 | 1169.381 | 270.1309 | 417.3049 | 571.9712 | 1 | 0.71 | -1.135 | 0.097 | -1.6561 | -0.0013 | -0.0232 | -0.0002 | |||||||||||||||||