1experiment,K,rho,lam,round,variant,closed_form,simulated,optimal,dispersion,mse_median,mse_equal2mse_vs_rho,1,0.0,,,,1.0,0.9975524636337494,1.0,,,3mse_vs_rho,1,0.1,,,,1.0,0.9948685212539251,1.0,,,4mse_vs_rho,1,0.2,,,,1.0,1.0102667143538426,1.0,,,5mse_vs_rho,1,0.3,,,,1.0,0.9999153013444069,1.0,,,6mse_vs_rho,1,0.4,,,,1.0,0.9996624392377187,1.0,,,7mse_vs_rho,1,0.5,,,,1.0,0.9992161539905726,1.0,,,8mse_vs_rho,1,0.6,,,,1.0,1.0003814907663005,1.0,,,9mse_vs_rho,1,0.7,,,,1.0,1.0205004900790413,1.0,,,10mse_vs_rho,1,0.8,,,,1.0,0.9893072550448504,1.0,,,11mse_vs_rho,1,0.9,,,,1.0,0.9849167003800737,1.0,,,12mse_vs_rho,3,0.0,,,,0.3333333333333333,0.3398308616121378,0.3333333333333333,,,13mse_vs_rho,3,0.1,,,,0.4,0.40166545817461946,0.4,,,14mse_vs_rho,3,0.2,,,,0.4666666666666667,0.45917372264918865,0.4666666666666667,,,15mse_vs_rho,3,0.3,,,,0.5333333333333333,0.531694032119594,0.5333333333333333,,,16mse_vs_rho,3,0.4,,,,0.6,0.6028844598418847,0.5999999999999999,,,17mse_vs_rho,3,0.5,,,,0.6666666666666666,0.6650849838249073,0.6666666666666666,,,18mse_vs_rho,3,0.6,,,,0.7333333333333334,0.7384939922009411,0.7333333333333335,,,19mse_vs_rho,3,0.7,,,,0.8,0.8155701312230418,0.8,,,20mse_vs_rho,3,0.8,,,,0.8666666666666667,0.8671221355927013,0.8666666666666667,,,21mse_vs_rho,3,0.9,,,,0.9333333333333333,0.9355713100456094,0.9333333333333333,,,22mse_vs_rho,12,0.0,,,,0.08333333333333333,0.08311458863024873,0.08333333333333333,,,23mse_vs_rho,12,0.1,,,,0.175,0.1735817849830417,0.17500000000000002,,,24mse_vs_rho,12,0.2,,,,0.26666666666666666,0.26495400615521547,0.26666666666666666,,,25mse_vs_rho,12,0.3,,,,0.3583333333333334,0.36101162190199004,0.3583333333333334,,,26mse_vs_rho,12,0.4,,,,0.45,0.4495770124194556,0.44999999999999996,,,27mse_vs_rho,12,0.5,,,,0.5416666666666666,0.5488485018821757,0.5416666666666666,,,28mse_vs_rho,12,0.6,,,,0.6333333333333334,0.6382900462122191,0.6333333333333335,,,29mse_vs_rho,12,0.7,,,,0.7250000000000001,0.7313995124039387,0.7250000000000002,,,30mse_vs_rho,12,0.8,,,,0.8166666666666667,0.8238415940592273,0.8166666666666667,,,31mse_vs_rho,12,0.9,,,,0.9083333333333333,0.9004421604081665,0.9083333333333334,,,32mse_vs_rho,48,0.0,,,,0.020833333333333332,0.02077331374864766,0.020833333333333332,,,33mse_vs_rho,48,0.1,,,,0.11875000000000001,0.1178214471398012,0.11875000000000001,,,34mse_vs_rho,48,0.2,,,,0.21666666666666667,0.2183644149516772,0.21666666666666665,,,35mse_vs_rho,48,0.3,,,,0.3145833333333334,0.3175310958660583,0.3145833333333334,,,36mse_vs_rho,48,0.4,,,,0.41250000000000003,0.4166112799029779,0.4125,,,37mse_vs_rho,48,0.5,,,,0.5104166666666666,0.5135047085778142,0.5104166666666667,,,38mse_vs_rho,48,0.6,,,,0.6083333333333334,0.6204256957688896,0.6083333333333336,,,39mse_vs_rho,48,0.7,,,,0.70625,0.7068925333606336,0.7062500000000005,,,40mse_vs_rho,48,0.8,,,,0.8041666666666667,0.7960982187484864,0.8041666666666669,,,41mse_vs_rho,48,0.9,,,,0.9020833333333333,0.9022205272695554,0.9020833333333327,,,42providers,12,,,,M=1,0.2708333333333333,0.2708333333333333,0.2708333333333333,,,43providers,12,,,,M=2,0.19083333333333335,0.19083333333333333,0.19083333333333335,,,44providers,12,,,,M=3,0.16416666666666668,0.16416666666666668,0.16416666666666668,,,45providers,12,,,,M=4,0.15083333333333335,0.15083333333333332,0.15083333333333335,,,46providers,12,,,,M=6,0.1375,0.13749999999999998,0.13749999999999998,,,47providers,12,,,,M=12,0.12416666666666666,0.12416666666666669,0.12416666666666665,,,48deliberation,12,,0.5,0,opinion_only_median,,0.0054749420765456335,,0.10686811761675567,0.005890270613821481,49deliberation,12,,0.5,1,opinion_only_median,,0.005580471431793032,,0.053434058808377836,0.005890270613821481,50deliberation,12,,0.5,2,opinion_only_median,,0.005709837294459625,,0.026717029404188918,0.005890270613821481,51deliberation,12,,0.5,3,opinion_only_median,,0.005793670522053645,,0.013358514702094459,0.005890270613821481,52deliberation,12,,0.5,4,opinion_only_median,,0.005840374709915837,,0.0066792573510472296,0.005890270613821481,53deliberation,12,,0.5,0,opinion_only_mean,,0.0054749420765456335,,0.10686811761675567,0.005890270613821481,54deliberation,12,,0.5,1,opinion_only_mean,,0.0054749420765456335,,0.053434058808377836,0.005580471431793032,55deliberation,12,,0.5,2,opinion_only_mean,,0.0054749420765456335,,0.026717029404188918,0.0055021730258217015,56deliberation,12,,0.5,3,opinion_only_mean,,0.0054749420765456335,,0.013358514702094459,0.00548217411909676,57deliberation,12,,0.5,4,opinion_only_mean,,0.0054749420765456335,,0.0066792573510472296,0.0054769622397994695,58deliberation,12,,0.5,0,exchange_round1,,0.0054749420765456335,,0.10686811761675567,0.005890270613821481,59deliberation,12,,0.5,1,exchange_round1,,0.004432870465990931,,0.05351190005780238,0.004631961607023665,60deliberation,12,,0.5,2,exchange_round1,,0.004506443790689637,,0.02675595002890119,0.004631961607023665,61deliberation,12,,0.5,3,exchange_round1,,0.004562709637402236,,0.013377975014450596,0.004631961607023665,62deliberation,12,,0.5,4,exchange_round1,,0.004595712356849347,,0.006688987507225298,0.004631961607023665,63deliberation,12,,0.5,0,persuasion_noise,,0.0054749420765456335,,0.10686811761675567,0.005890270613821481,64deliberation,12,,0.5,1,persuasion_noise,,0.005790775731250485,,0.07234904065667373,0.006046291263626084,65deliberation,12,,0.5,2,persuasion_noise,,0.006047018943274497,,0.060852578272829444,0.0061928693913260386,66deliberation,12,,0.5,3,persuasion_noise,,0.006302794788887597,,0.05757831249074855,0.006433790457651954,67deliberation,12,,0.5,4,persuasion_noise,,0.006551399560844131,,0.05677696612775292,0.006672317429211338,68deliberation_closed_form,12,,,,round0,0.0055333333333333345,0.0054749420765456335,,,,69deliberation_closed_form,12,,,,after_full_exchange,0.004380952380952381,0.004595712356849347,,,,70partial_exchange_example,3,,,,before,0.5555555555555556,,,,,71partial_exchange_example,3,,,,agent1_adds_item2,0.7222222222222223,,,,,72partial_exchange_example,3,,,,full_exchange,0.5,,,,,73placebo,12,,,,perm0,0.007765025252525254,0.007713531996737507,0.007765025252525254,,,74placebo,12,,,,perm1,0.007765025252525254,0.007713687298305791,0.007765025252525254,,,75placebo,12,,,,perm2,0.007765025252525253,0.007706807844228863,0.007765025252525254,,,76placebo,12,,,,perm3,0.007765025252525254,0.0077330267210674805,0.007765025252525254,,,77placebo,12,,,,perm4,0.007765025252525254,0.0077165216107169254,0.007765025252525254,,,78placebo,12,,,,perm5,0.007765025252525253,0.007709487993699693,0.007765025252525254,,,79over_shrinkage,12,,0.5,0,inverse_variance,0.0012615032751548912,,0.0012615032751548915,,,0.00522411616161616280over_shrinkage,12,,0.5,1,inverse_variance,0.0026241600112822767,,0.0012615032751548915,,,0.00522411616161616281over_shrinkage,12,,0.5,2,inverse_variance,0.0042676395736005596,,0.0012615032751548915,,,0.00522411616161616282over_shrinkage,12,,0.5,3,inverse_variance,0.004962254424446157,,0.0012615032751548915,,,0.00522411616161616283over_shrinkage,12,,0.5,4,inverse_variance,0.005161298279283959,,0.0012615032751548915,,,0.00522411616161616284