[07.1] Mohammed Abdellaoui, Carolina Barrios, & Peter P. Wakker (2007), “Reconciling Introspective Utility with Revealed Preference: Experimental Arguments Based on Prospect Theory,” Journal of Econometrics 138, 356-378.
Interpolations
The variables tc1, tc2, and tc3 are interpolations of the ti to be compared to the cj's,
as explained in Table 3 on p. 373:
tc1 = (2t2)/3 + (t0)/3, tc2 = t2, tc3 = (2t3)/3 + (t4)/3.
The variables td1EU, td2EU, and td3EU are interpolations of the ti to be compared to the dj's under EU (expected utility),
as explained in Table 3 on p. 373:
td1EU = (2t3)/3 + (t4)/3, td2EU = t4, td3EU = (2t5)/3 + (t6)/3.
The variables td1PT, td2PT, and td3PT are interpolations of the ti to be compared to the dj's under PT (prospect theory),
as explained in Table 3 on p. 373:
td1PT = 0.58(t2) + 0.42(t1), td2PT = 0.08(t4) + 0.92(t3), td3PT = 0.58(t5) + 0.42(t4).
Parameters of Utility Fitting
Parameters for Power Utility
PPWTO: The Parameter of the PoWer family to fit the TO measurements (t0 ... t6).
PPWSP: The Parameter of the PoWer family to fit the SP measurements (t0, t1, s2, ..., s6).
PPWC13: The Parameter of the PoWer family to fit the CE1/3 measurements (c1, c2, c3).
PPWEUD23: The Parameter of the PoWer family to fit the CE2/3 measurements (d1, d2, d3) under EU.
PPWPTD23: The Parameter of the PoWer family to fit the CE2/3 measurements (d1, d2, d3) under PT.
Parameters for Exponential Utility
PEXTO: The Parameter of the EXponential family to fit the TO measurements (t0 ... t6).
PEXSP: The Parameter of the EXponential family to fit the SP measurements (t0, t1, s2, ..., s6).
PEXC13: The Parameter of the EXponential family to fit the CE1/3 measurements (c1, c2, c3).
PEXEUD23: The Parameter of the EXponential family to fit the CE2/3 measurements (d1, d2, d3) under EU.
PEXPTD23: The Parameter of the EXponential family to fit the CE2/3 measurements (d1, d2, d3) under PT.
Parameters for Expo-Power Utility
PEPTO: The Parameter of the Expo-Power family to fit the TO measurements (t0 ... t6).
PEPSP: The Parameter of the Expo-Power family to fit the SP measurements (t0, t1, s2, ..., s6).
PEPC13: The Parameter of the Expo-Power family to fit the CE1/3 measurements (c1, c2, c3).
PEPEUD23: The Parameter of the Expo-Power family to fit the CE2/3 measurements (d1, d2, d3) under EU.
PEPPTD23: The Parameter of the Expo-Power family to fit the CE2/3 measurements (d1, d2, d3) under PT.
The participants are numbered P1 ... P47.
The value “miss” indicates missing value.
Record 1: Participant number Record 2: Gives the TO observations. t0 t1 t2 t3 t4 t5 t6 Record 3: Gives the SP observations. s2 s3 s4 s5 s6 Record 4: Gives the CE1/3 observations. c1 c2 c3 Record 5: Gives the CE2/3 observations. d1 d2 d3 Record 6: Gives the interpolations tc1 tc2 tc3 Record 7: Gives the interpolations td1EU td2EU td3EU Record 8: Gives the interpolations td1PT td2PT td3PT Record 9: Gives the parameters PPWTO PPWSP PPWC13 PPWEUD23 PPWPTD23 Record 10: Gives the parameters PEXTO PEXSP PEXC13 PEXEUD23 PEXPTD23 Record 11: Gives the parameters PEPTO PEPSP PEPC13 PEPEUD23 PEPPTD23 Record 12: empty
P01 5000 9800 19900 34700 45800 59900 74000 16100 22900 30000 37800 44600 miss miss miss miss miss miss 8200 19900 38400 29766.666 45800 64600 15632.506 35549.155 53914.904 0.636 0.790 miss miss miss 0.806 0.692 miss miss miss 1.020 1.184 miss miss miss P02 5000 7800 10900 14700 19500 24600 31900 10900 14500 18600 23900 29700 miss miss miss miss miss miss 6866.666 10900 16300 13433.333 19500 27033.333 9590.175 15067.202 22435.178 0.371 0.458 miss miss miss 1.162 1.041 miss miss miss 0.872 0.948 miss miss miss P03 5000 7100 9200 11500 14800 20100 27400 9400 12200 15500 20100 26400 miss miss miss miss miss miss 6400 9200 12600 10733.333 14800 22533.333 8312.699 11752.452 17850.283 0.004 0.170 miss miss miss 1.811 1.493 miss miss miss 0.001 0.001 miss miss miss P04 5000 7600 9700 11800 13900 16000 20800 10900 14700 19300 25600 32900 miss miss miss miss miss miss 6733.333 9700 12500 11100 13900 17600 8812.699 11960.651 15108.603 0.541 0.316 miss miss miss 0.672 0.733 miss miss miss 1.069 0.825 miss miss miss P05 5000 8600 11400 14200 16500 19300 22100 11400 15000 21800 30100 43700 miss miss miss miss miss miss 7400 11400 14966.666 13266.666 16500 20233.333 10216.932 14375.951 18111.470 1.200 0.123 miss miss miss -0.257 0.902 miss miss miss 1.621 0.001 miss miss miss P06 5000 6800 7900 9200 11000 13800 16600 8600 10900 13000 15600 18700 miss miss miss miss miss miss 6200 7900 9800 8766.666 11000 14733.333 7435.223 9337.701 12611.470 0.218 0.502 miss miss miss 0.973 0.556 miss miss miss 0.842 1.050 miss miss miss P07 5000 9600 13700 20800 29900 40500 49800 15900 23700 33000 44300 59900 miss miss miss miss miss miss 8066.666 13700 23833.333 18433.333 29900 43600 11967.651 21496.154 36000.566 0.473 0.415 miss miss miss 1.160 1.147 miss miss miss 0.903 0.847 miss miss miss P08 5000 8600 11900 14200 17500 21800 24600 11900 16200 22800 29100 38400 miss miss miss miss miss miss 7400 11900 15300 13433.333 17500 22733.333 10505.670 14452.452 19974.758 0.976 0.369 miss miss miss 0.048 0.758 miss miss miss 1.404 0.848 miss miss miss P09 5000 8600 10900 11700 12500 13300 14100 11900 15000 18100 21200 24300 miss miss miss miss miss miss 7400 10900 11966.666 11433.333 12500 13566.666 9928.194 11761.200 12960.420 3.594 1.115 miss miss miss -2.278 -0.074 miss miss miss 3.952 1.532 miss miss miss P10 5000 7600 9900 12000 14800 16900 19700 8900 10000 11100 12200 13300 miss miss miss miss miss miss 6733.333 9900 12933.333 11300 14800 17833.333 8928.194 12214.201 16008.603 0.945 2.078 miss miss miss 0.083 -1.693 miss miss miss 1.412 2.503 miss miss miss P11 5000 8300 15400 19000 26300 32100 41400 11600 15900 21000 28600 35700 miss miss miss miss miss miss 7200 15400 21433.333 17800 26300 35200 12400.079 19558.453 29638.045 0.591 0.397 miss miss miss 0.810 1.403 miss miss miss 1.027 0.877 miss miss miss P12 5000 7600 9400 11500 12600 13900 15200 9900 12000 14600 17200 19500 miss miss miss miss miss miss 6733.333 9400 11866.666 10800 12600 14333.333 8639.457 11584.151 13348.183 1.915 0.992 miss miss miss -0.920 0.013 miss miss miss 2.330 1.452 miss miss miss P13 5000 7100 8700 10000 11800 13900 16200 10400 14000 18800 27600 38400 miss miss miss miss miss miss 6400 8700 10600 9566.666 11800 14666.666 8023.961 10137.701 13008.603 0.769 0.022 miss miss miss 0.284 0.716 miss miss miss 1.296 0.001 miss miss miss P14 5000 8300 11100 16700 23500 29800 37900 11600 15400 20000 24800 29900 6600 9600 14200 8800 14800 23900 7200 11100 18966.666 14833.333 23500 32500 9916.932 17220.203 27125.808 0.392 0.642 -0.073 -0.669 0.079 1.194 0.806 2.583 4.016 1.950 0.866 1.097 0.010 0.165 0.001 P15 5000 9300 13900 17000 25100 35200 43000 13900 18000 24300 29900 38000 5800 8800 12600 8800 19100 22700 7866.666 13900 19700 15966.666 25100 37800 11956.389 17619.654 30912.803 0.444 0.613 -0.417 -0.622 0.091 1.188 0.867 3.993 3.981 1.981 0.891 1.049 0.289 0.183 0.001 P16 5000 6600 8900 13000 14800 16100 17400 7900 9500 11100 14200 17500 6300 7800 9400 9600 13600 15900 6066.666 8900 13600 11633.333 14800 16533.333 7928.194 13137.701 15548.183 1.631 0.092 0.048 0.778 2.312 -0.780 1.171 1.314 0.242 -1.441 2.056 0.001 0.001 1.301 2.686 P17 5000 6800 7900 10000 13100 16400 21000 8900 11000 13100 15200 17500 5800 7800 10600 11300 14800 16900 6200 7900 11033.333 9300 13100 17933.333 7435.223 10237.151 14999.233 0.005 0.836 -0.162 0.494 1.539 1.488 0.248 1.829 0.701 -0.647 0.001 1.340 0.010 1.053 1.944 P18 5000 8300 11900 14700 18000 20600 23400 12900 15500 18800 21400 26000 6800 11600 15900 7600 11600 16400 7200 11900 15800 13766.666 18000 21533.333 10378.913 14952.452 19496.365 1.205 0.995 1.154 -0.885 0.108 -0.289 0.018 -0.227 3.244 1.402 1.618 1.426 1.562 0.061 0.001 P19 5000 8300 12400 16500 20300 24400 28500 9900 11000 12100 12900 13200 9800 12800 14100 12800 17800 25900 7200 12400 17766.666 15133.333 20300 25766.666 10667.651 16790.702 22659.653 0.903 3.843 0.817 0.428 1.387 0.148 -6.910 0.363 0.950 -0.616 1.329 4.185 1.224 0.942 1.745 P20 5000 7800 9900 13200 16000 18100 20900 11900 14200 17000 23600 26900 7600 9600 13900 9600 15800 17100 6866.666 9900 14133.333 12100 16000 19033.333 9012.699 13414.201 17208.603 1.026 0.657 0.995 0.301 1.534 -0.041 0.407 0.019 0.930 -6.820 1.473 1.121 1.424 0.882 1.947 P21 5000 8100 12900 19200 27800 35900 44200 14400 20000 29800 43100 60900 7800 12100 20200 8600 14800 23900 7066.666 12900 22066.666 17100 27800 38666.666 10871.884 19857.904 32461.753 0.464 0.209 0.351 -0.793 -0.101 1.084 1.419 1.512 4.968 2.647 0.909 0.001 0.804 0.096 0.010 P22 5000 8300 9900 12500 15800 19600 23400 14900 21000 27800 34100 43400 7100 9800 15900 8300 12600 17900 7200 9900 13600 11633.333 15800 20866.666 9223.961 12752.452 17986.995 0.628 0.611 0.914 -0.536 0.457 0.574 0.365 0.099 2.531 0.814 1.115 1.040 1.342 0.269 0.978 P23 5000 6800 7900 9200 10300 11900 13000 8400 9500 10300 11400 12200 8800 10800 11100 8800 10600 11700 6200 7900 9566.666 8766.666 10300 12266.666 7435.223 9284.151 11220.840 1.270 2.184 4.831 1.144 2.871 -0.242 -1.089 -3.098 -0.118 -1.581 1.772 2.623 5.145 1.693 3.264 P24 5000 8300 12900 17000 19800 21600 23400 11900 17000 23800 29900 35500 8800 12800 19900 10800 14800 19900 7200 12900 17933.333 15633.333 19800 22200 10956.389 17214.201 20835.945 1.830 0.575 2.204 0.242 1.255 -1.124 0.463 -1.685 1.142 -0.351 2.202 1.019 2.527 0.825 1.659 P25 5000 11800 12600 13400 14500 15600 16900 19900 25700 31500 37300 43400 6800 9800 13600 6800 11300 13900 9533.333 12600 13766.666 13133.333 14500 16033.333 12261.981 13484.151 15133.078 3.329 1.166 1.914 -0.791 0.749 -2.301 -0.092 -1.048 2.196 0.248 3.671 1.528 2.296 0.103 1.282 P26 5000 6300 7400 8500 9600 11400 12500 6900 7200 7300 7400 7500 7600 9300 10900 7100 9100 10900 5866.666 7400 8866.666 8133.333 9600 11766.666 6935.223 8584.151 10635.945 0.782 13.943 3.814 -0.404 1.276 0.201 -14.274 -2.298 1.294 -0.241 1.358 14.303 4.148 0.010 1.791 P27 5000 7100 9200 11000 13100 16200 18500 9700 13000 16300 19600 24900 7100 9800 12900 11300 14100 16700 6400 9200 11700 10400 13100 16966.666 8312.699 11160.651 14884.128 0.722 0.414 1.230 1.068 2.415 0.359 0.627 -0.278 -0.069 -1.564 1.231 0.939 1.653 1.556 2.774 P28 5000 7600 8700 9800 10900 12000 14300 11700 16500 20600 29700 39800 6800 8100 10700 8100 10100 13700 6733.333 8700 10166.666 9433.333 10900 12766.666 8235.223 9884.151 11533.078 1.178 0.228 1.404 0.119 1.622 -0.150 0.436 -0.405 0.922 -0.647 1.679 0.001 1.851 0.001 2.045 P29 5000 11100 19900 23700 33800 42900 55000 17900 25000 34800 49900 70000 6100 9800 16900 11800 21800 39900 9066.666 19900 27066.666 22433.333 33800 46933.333 16181.787 24472.655 39037.278 0.660 0.379 -0.188 -0.244 0.405 0.757 1.260 3.554 3.372 1.360 1.057 0.804 0.010 0.010 0.839 P30 5000 7600 8700 11500 15600 18700 23000 10400 13000 14600 15900 17000 9800 15800 18900 10800 15100 19900 6733.333 8700 12866.666 10566.666 15600 20133.333 8235.223 11813.652 17384.128 0.374 2.133 2.821 0.33 1.389 0.955 -1.868 -2.216 0.984 -0.534 0.911 2.520 3.145 0.895 1.782 P31 5000 8300 9900 14000 19300 24900 30000 10600 12900 15200 17500 19800 7300 10800 19900 13100 19100 25200 7200 9900 15766.666 12633.333 19300 26600 9223.961 14405.452 22522.940 0.425 1.267 0.827 0.410 1.322 1.015 -0.554 0.221 0.992 -0.498 0.915 1.694 1.239 0.928 1.697 P32 5000 6800 8900 10000 13300 14900 16000 8900 10000 13800 17100 19900 7100 9800 11900 7600 9800 13600 6200 8900 11100 9633.333 13300 15266.666 8012.699 10252.452 14220.840 1.141 0.364 1.728 -0.611 0.693 -0.187 0.647 -0.781 1.962 0.346 1.604 0.922 2.128 0.250 1.226 P33 5000 6800 8100 9400 11000 13100 15700 8600 10700 13000 14800 16900 6600 8800 11100 7300 9800 12100 6200 8100 9933.333 8966.666 11000 13966.666 7550.719 9522.401 12208.603 0.458 0.869 1.193 -0.831 0.432 0.635 0.131 -0.206 2.201 0.658 1.045 1.372 1.651 0.109 1.028 P34 5000 11100 14900 20000 25800 31600 38700 18700 27500 38100 49200 62000 6800 12800 16900 12100 19300 28900 9066.666 14900 21933.333 18300 25800 33966.666 13294.408 20443.703 29138.045 0.817 0.626 0.329 -0.065 0.666 0.362 0.502 1.462 2.252 0.644 1.218 1.017 0.805 0.010 1.091 P35 5000 6800 8600 10200 11800 13100 14700 8600 10700 13000 15800 18100 6800 9800 12100 7300 9600 12400 6200 8600 10733.333 9666.666 11800 13633.333 7839.457 10322.401 12548.183 1.273 0.615 2.498 -0.633 0.780 -0.277 0.356 -1.460 1.817 0.229 1.754 1.144 2.870 0.241 1.322 P36 5000 7100 8900 11000 13600 15900 18200 9400 11500 13600 15900 18200 7100 8800 12900 8600 12800 15900 6400 8900 11866.666 10300 13600 16666.666 8139.457 11198.901 14923.708 0.794 0.942 1.095 0.100 1.424 0.255 0.073 -0.124 1.131 -0.516 1.293 1.424 1.534 0.001 1.851 P37 5000 9100 13900 21200 31500 49300 69400 13900 19000 22800 25900 29200 8300 16800 30100 10600 20300 39600 7733.333 13900 24633.333 18766.666 31500 56000 11871.884 21987.955 41744.346 0.173 1.308 0.421 -0.498 0.079 2.299 -1.312 1.552 5.175 2.615 0.001 1.691 0.825 0.227 0.001 P38 5000 8100 9700 11000 13300 15900 18200 11700 15800 20600 24900 29000 6600 8100 12200 8800 12100 15900 7066.666 9700 11766.666 10566.666 13300 16666.666 9023.961 11175.951 14796.365 0.989 0.777 0.702 0.036 1.268 0.032 0.193 0.376 1.240 -0.328 1.460 1.214 1.200 0.001 1.704 P39 5000 8100 15700 25000 31300 36600 46900 11700 14800 17900 22200 28300 6800 8800 15900 7600 12600 21400 7066.666 15700 27100 21900 31300 40033.333 12488.816 25481.953 34350.283 0.710 0.576 -0.171 -1.136 -0.410 0.541 1.304 3.242 6.969 3.832 1.125 1.054 0.010 -0.058 0.295 P40 5000 8600 15900 25000 31800 39900 48500 11200 14800 17400 20000 23800 5600 9100 11900 5300 7800 10600 7400 15900 27266.666 21966.666 31800 42766.666 12815.574 25520.203 36461.753 0.710 1.015 -0.504 -3.363 -1.813 miss miss miss miss miss 1.115 1.449 0.234 -0.616 -0.280 P41 5000 8800 10900 14200 15500 17100 20900 13400 18000 22600 27200 31800 6800 9800 12900 9300 15100 17900 7533.333 10900 14633.333 13100 15500 18366.666 10012.699 14299.451 16420.840 1.189 0.909 0.760 0.238 1.506 -0.221 0.086 0.359 1.021 -0.664 1.624 1.321 1.229 0.001 1.916 P42 5000 11100 13900 15700 20300 26600 29700 17900 26000 33100 39200 46000 5800 7800 11400 6800 9800 13400 9066.666 13900 17233.333 15100 20300 27633.333 12716.932 16051.902 23925.808 1.002 0.996 -0.438 -1.678 -0.772 0.017 -0.006 3.088 6.546 3.853 1.400 1.366 0.303 -0.291 0.120 P43 5000 6100 7200 8500 9800 11600 13200 7200 8300 9600 10900 12200 5800 7600 9900 6800 8800 10900 5733.333 7200 8933.333 8066.666 9800 12133.333 6735.223 8599.451 10835.945 0.380 0.696 1.089 -1.003 0.549 0.602 0.304 -0.096 2.023 0.437 1.014 1.295 1.601 0.015 1.155 P44 5000 6800 8400 9200 10500 11600 12700 8600 10200 11800 12900 14000 6800 8800 10400 7600 8800 10400 6200 8400 9633.333 8933.333 10500 11966.666 7723.961 9299.451 11133.078 1.670 1.683 2.585 -0.436 1.008 -0.584 -0.571 -1.366 1.362 0.016 2.140 2.129 2.970 0.408 1.559 P45 5000 7100 9200 11300 13400 15500 17600 9900 13500 19800 28900 43000 6300 9100 11900 10600 13300 16100 6400 9200 12000 10600 13400 16200 8312.699 11460.651 14608.603 1 -0.102 0.938 1.403 2.355 0 0.871 0.079 0.048 -1.473 1.479 0.010 1.412 1.470 2.717 P46 5000 6800 9400 11700 14300 17900 23500 9400 14000 19800 28100 41400 7600 10800 14100 8800 14600 17900 6200 9400 12566.666 10933.333 14300 19766.666 8301.437 11898.901 16371.890 0.217 -0.093 0.844 -0.247 0.769 1.234 1.268 0.267 1.951 0.332 0.001 0.010 1.280 0.461 1.245 P47 5000 7300 8600 9900 11700 13800 16100 9100 11400 12700 13800 14900 6100 6800 8100 6100 7800 9600 6533.333 8600 10500 9466.666 11700 14566.666 8050.719 10037.701 12908.603 0.770 2.003 -0.548 -2.556 -1.166 0.277 -1.134 2.074 4.973 2.831 1.298 2.415 0.286 0.015 -0.093