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Unscrupulous diner's dilemma

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489:, and Hadas Yafe (2004) tested these results in a field experiment. Groups of six diners faced different billing arrangements. In one arrangement the diners pay individually, in the second they split the bill evenly between themselves and in the third the meal is paid entirely by the experimenter. As predicted, the consumption is the smallest when the payment is individually made, the largest when the meal is free and in-between for the even split. In a fourth arrangement, each participant pays only one sixth of their individual meal and the experimenter pay the rest, to account for possible unselfishness and social considerations. There was no difference between the amount consumed by these groups and those splitting the total cost of the meal equally. As the private cost of increased consumption is the same for both treatments but splitting the cost imposes a burden on other group members, this indicates that participants did not take the welfare of others into account when making their choices. This contrasts to a large number of laboratory experiments where subjects face analytically similar choices but the context is more abstract. 41:. The situation imagined is that several people go out to eat, and before ordering, they agree to split the cost equally between them. Each diner must now choose whether to order the costly or cheap dish. It is presupposed that the costlier dish is better than the cheaper, but not by enough to warrant paying the difference when eating alone. Each diner reasons that, by ordering the costlier dish, the extra cost to their own bill will be small, and thus the better dinner is worth the money. However, all diners having reasoned thus, they each end up paying for the costlier dish, which by assumption, is worse than had they each ordered the cheaper. 477:, everyone would be better off. This demonstrates the similarity between the diner's dilemma and the prisoner's dilemma. Like the prisoner's dilemma, everyone is worse off by playing the unique equilibrium than they would have been if they collectively pursued another strategy. 371:
for the cheaper meal. By assumption, the utility of ordering the expensive meal is higher. Remember that the choice of opponents' strategies was arbitrary and that the situation is symmetric. This proves that the expensive meal is
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Uri Gneezy, Ernan Haruvy, and Hadas Yafe (2004). The inefficiency of splitting the bill. The Economic Journal, 114(495), 265-280.
1706: 810: 1139: 114: 1320: 738: 713: 1670: 1096: 850: 840: 775: 322: 270: 890: 870: 1355: 413:. On the other hand, if all the individuals had ordered the cheap meal, the utility of every player would have been 224: 178: 1604: 1325: 983: 825: 820: 171:
Consider an arbitrary set of strategies by a player's opponent. Let the total cost of the other players' meals be
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we presume that one would prefer to order the expensive meal given others will help defray the cost,
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the number of players. From the description above we have the following ordering
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If everyone orders the expensive meal all of the diners pay
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Glance, Natalie S.; Huberman, Bernardo A. (March 1994).
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Gneezy, Uri; Haruvy, Ernan; Yafe, Hadas (April 2004).
162:{\displaystyle a-{\frac {1}{n}}k>b-{\frac {1}{n}}l} 445: 419: 393: 325: 273: 227: 181: 117: 75: 1628: 1587: 1369: 1313: 1095: 997: 904: 762: 661: 469: 431: 405: 363: 311: 259: 213: 161: 99: 364:{\displaystyle b-{\frac {1}{n}}x-{\frac {1}{n}}l} 312:{\displaystyle a-{\frac {1}{n}}x-{\frac {1}{n}}k} 53:represent the joy of eating the expensive meal, 260:{\displaystyle {\frac {1}{n}}x+{\frac {1}{n}}k} 221:and the cost of ordering the expensive meal is 214:{\displaystyle {\frac {1}{n}}x+{\frac {1}{n}}l} 638: 8: 645: 631: 623: 175:. The cost of ordering the cheap meal is 45:Formal definition and equilibrium analysis 16:Game theory: n-player "prisoner's dilemma" 580: 444: 418: 392: 348: 332: 324: 296: 280: 272: 244: 228: 226: 198: 182: 180: 146: 124: 116: 74: 560:"The inefficiency of splitting the bill" 614:If You're Paying, I'll Have Top Sirloin 520: 267:. So the utilities for each meal are 7: 387:and the utility of every player is 61:is the cost of the expensive meal, 694:First-player and second-player win 57:the joy of eating the cheap meal, 14: 530:"The dynamics of social dilemmas" 801:Coalition-proof Nash equilibrium 582:10.1111/j.1468-0297.2004.00209.x 65:the cost of the cheap meal, and 592:from the original on 2016-02-05 811:Evolutionarily stable strategy 1: 739:Simultaneous action selection 1671:List of games in game theory 851:Quantal response equilibrium 841:Perfect Bayesian equilibrium 776:Bayes correlated equilibrium 25:unscrupulous diner's dilemma 1140:Optional prisoner's dilemma 871:Self-confirming equilibrium 319:for the expensive meal and 1728: 1605:Principal variation search 1321:Aumann's agreement theorem 984:Strategy-stealing argument 896:Trembling hand equilibrium 826:Markov perfect equilibrium 821:Mertens-stable equilibrium 470:{\displaystyle b-l>a-k} 100:{\displaystyle k-l>a-b} 1641:Combinatorial game theory 1300:Princess and monster game 856:Quasi-perfect equilibrium 781:Bayesian Nash equilibrium 1656:Evolutionary game theory 1389:Antoine Augustin Cournot 1275:Guess 2/3 of the average 1072:Strictly determined game 866:Satisfaction equilibrium 684:Escalation of commitment 1661:Glossary of game theory 1260:Stackelberg competition 886:Strong Nash equilibrium 1686:Tragedy of the commons 1666:List of game theorists 1646:Confrontation analysis 1356:Sprague–Grundy theorem 876:Sequential equilibrium 796:Correlated equilibrium 499:Tragedy of the commons 471: 439:. Since by assumption 433: 407: 365: 313: 261: 215: 163: 101: 1707:Non-cooperative games 1459:Jean-François Mertens 481:Experimental evidence 472: 434: 408: 366: 314: 262: 216: 164: 102: 1588:Search optimizations 1464:Jennifer Tour Chayes 1351:Revelation principle 1346:Purification theorem 1285:Nash bargaining game 1250:Bertrand competition 1235:El Farol Bar problem 1200:Electronic mail game 1165:Lewis signaling game 709:Hierarchy of beliefs 568:The Economic Journal 443: 417: 391: 376:and thus the unique 323: 271: 225: 179: 115: 73: 1636:Bounded rationality 1255:Cournot competition 1205:Rock paper scissors 1180:Battle of the sexes 1170:Volunteer's dilemma 1042:Perfect information 969:Dominant strategies 806:Epsilon-equilibrium 689:Extensive-form game 535:Scientific American 432:{\displaystyle b-l} 406:{\displaystyle a-k} 1615:Paranoid algorithm 1595:Alpha–beta pruning 1474:John Maynard Smith 1305:Rendezvous problem 1145:Traveler's dilemma 1135:Gift-exchange game 1130:Prisoner's dilemma 1047:Large Poisson game 1014:Bargaining problem 919:Backward induction 891:Subgame perfection 846:Proper equilibrium 504:Free-rider problem 467: 429: 403: 361: 309: 257: 211: 159: 109:Prisoner's dilemma 97: 39:prisoner's dilemma 1694: 1693: 1600:Aspiration window 1569:Suzanne Scotchmer 1524:Oskar Morgenstern 1419:Donald B. Gillies 1361:Zermelo's theorem 1290:Induction puzzles 1245:Fair cake-cutting 1220:Public goods game 1150:Coordination game 1024:Intransitive game 954:Forward induction 836:Pareto efficiency 816:Gibbs equilibrium 786:Berge equilibrium 734:Simultaneous game 374:strictly dominant 356: 340: 304: 288: 252: 236: 206: 190: 154: 132: 1719: 1681:Topological game 1676:No-win situation 1574:Thomas Schelling 1554:Robert B. Wilson 1514:Merrill M. Flood 1484:John von Neumann 1394:Ariel Rubinstein 1379:Albert W. Tucker 1230:War of attrition 1190:Matching pennies 831:Nash equilibrium 754:Mechanism design 719:Normal-form game 674:Cooperative game 647: 640: 633: 624: 601: 600: 598: 597: 591: 584: 575:(495): 265–280. 564: 555: 549: 546: 540: 539: 525: 476: 474: 473: 468: 438: 436: 435: 430: 412: 410: 409: 404: 378:Nash equilibrium 370: 368: 367: 362: 357: 349: 341: 333: 318: 316: 315: 310: 305: 297: 289: 281: 266: 264: 263: 258: 253: 245: 237: 229: 220: 218: 217: 212: 207: 199: 191: 183: 168: 166: 165: 160: 155: 147: 133: 125: 106: 104: 103: 98: 1727: 1726: 1722: 1721: 1720: 1718: 1717: 1716: 1697: 1696: 1695: 1690: 1624: 1610:max^n algorithm 1583: 1579:William Vickrey 1539:Reinhard Selten 1494:Kenneth Binmore 1409:David K. Levine 1404:Daniel Kahneman 1371: 1365: 1341:Negamax theorem 1331:Minimax theorem 1309: 1270:Diner's dilemma 1125:All-pay auction 1091: 1077:Stochastic game 1029:Mean-field game 1000: 993: 964:Markov strategy 900: 766: 758: 729:Sequential game 714:Information set 699:Game complexity 669:Congestion game 657: 651: 618:Russell Roberts 610: 605: 604: 595: 593: 589: 562: 557: 556: 552: 547: 543: 527: 526: 522: 517: 509:Abilene paradox 495: 483: 441: 440: 415: 414: 389: 388: 321: 320: 269: 268: 223: 222: 177: 176: 113: 112: 71: 70: 47: 29:diner's dilemma 17: 12: 11: 5: 1725: 1723: 1715: 1714: 1709: 1699: 1698: 1692: 1691: 1689: 1688: 1683: 1678: 1673: 1668: 1663: 1658: 1653: 1648: 1643: 1638: 1632: 1630: 1626: 1625: 1623: 1622: 1617: 1612: 1607: 1602: 1597: 1591: 1589: 1585: 1584: 1582: 1581: 1576: 1571: 1566: 1561: 1556: 1551: 1546: 1544:Robert Axelrod 1541: 1536: 1531: 1526: 1521: 1519:Olga Bondareva 1516: 1511: 1509:Melvin Dresher 1506: 1501: 1499:Leonid Hurwicz 1496: 1491: 1486: 1481: 1476: 1471: 1466: 1461: 1456: 1451: 1446: 1441: 1436: 1434:Harold W. Kuhn 1431: 1426: 1424:Drew Fudenberg 1421: 1416: 1414:David M. Kreps 1411: 1406: 1401: 1399:Claude Shannon 1396: 1391: 1386: 1381: 1375: 1373: 1367: 1366: 1364: 1363: 1358: 1353: 1348: 1343: 1338: 1336:Nash's theorem 1333: 1328: 1323: 1317: 1315: 1311: 1310: 1308: 1307: 1302: 1297: 1292: 1287: 1282: 1277: 1272: 1267: 1262: 1257: 1252: 1247: 1242: 1237: 1232: 1227: 1222: 1217: 1212: 1207: 1202: 1197: 1195:Ultimatum game 1192: 1187: 1182: 1177: 1175:Dollar auction 1172: 1167: 1162: 1160:Centipede game 1157: 1152: 1147: 1142: 1137: 1132: 1127: 1122: 1117: 1115:Infinite chess 1112: 1107: 1101: 1099: 1093: 1092: 1090: 1089: 1084: 1082:Symmetric game 1079: 1074: 1069: 1067:Signaling game 1064: 1062:Screening game 1059: 1054: 1052:Potential game 1049: 1044: 1039: 1031: 1026: 1021: 1016: 1011: 1005: 1003: 995: 994: 992: 991: 986: 981: 979:Mixed strategy 976: 971: 966: 961: 956: 951: 946: 941: 936: 931: 926: 921: 916: 910: 908: 902: 901: 899: 898: 893: 888: 883: 878: 873: 868: 863: 861:Risk dominance 858: 853: 848: 843: 838: 833: 828: 823: 818: 813: 808: 803: 798: 793: 788: 783: 778: 772: 770: 760: 759: 757: 756: 751: 746: 741: 736: 731: 726: 721: 716: 711: 706: 704:Graphical game 701: 696: 691: 686: 681: 676: 671: 665: 663: 659: 658: 652: 650: 649: 642: 635: 627: 621: 620: 609: 608:External links 606: 603: 602: 550: 541: 519: 518: 516: 513: 512: 511: 506: 501: 494: 491: 482: 479: 466: 463: 460: 457: 454: 451: 448: 428: 425: 422: 402: 399: 396: 360: 355: 352: 347: 344: 339: 336: 331: 328: 308: 303: 300: 295: 292: 287: 284: 279: 276: 256: 251: 248: 243: 240: 235: 232: 210: 205: 202: 197: 194: 189: 186: 158: 153: 150: 145: 142: 139: 136: 131: 128: 123: 120: 96: 93: 90: 87: 84: 81: 78: 46: 43: 15: 13: 10: 9: 6: 4: 3: 2: 1724: 1713: 1710: 1708: 1705: 1704: 1702: 1687: 1684: 1682: 1679: 1677: 1674: 1672: 1669: 1667: 1664: 1662: 1659: 1657: 1654: 1652: 1649: 1647: 1644: 1642: 1639: 1637: 1634: 1633: 1631: 1629:Miscellaneous 1627: 1621: 1618: 1616: 1613: 1611: 1608: 1606: 1603: 1601: 1598: 1596: 1593: 1592: 1590: 1586: 1580: 1577: 1575: 1572: 1570: 1567: 1565: 1564:Samuel Bowles 1562: 1560: 1559:Roger Myerson 1557: 1555: 1552: 1550: 1549:Robert Aumann 1547: 1545: 1542: 1540: 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1520: 1517: 1515: 1512: 1510: 1507: 1505: 1504:Lloyd Shapley 1502: 1500: 1497: 1495: 1492: 1490: 1489:Kenneth Arrow 1487: 1485: 1482: 1480: 1477: 1475: 1472: 1470: 1469:John Harsanyi 1467: 1465: 1462: 1460: 1457: 1455: 1452: 1450: 1447: 1445: 1442: 1440: 1439:Herbert Simon 1437: 1435: 1432: 1430: 1427: 1425: 1422: 1420: 1417: 1415: 1412: 1410: 1407: 1405: 1402: 1400: 1397: 1395: 1392: 1390: 1387: 1385: 1382: 1380: 1377: 1376: 1374: 1368: 1362: 1359: 1357: 1354: 1352: 1349: 1347: 1344: 1342: 1339: 1337: 1334: 1332: 1329: 1327: 1324: 1322: 1319: 1318: 1316: 1312: 1306: 1303: 1301: 1298: 1296: 1293: 1291: 1288: 1286: 1283: 1281: 1278: 1276: 1273: 1271: 1268: 1266: 1263: 1261: 1258: 1256: 1253: 1251: 1248: 1246: 1243: 1241: 1240:Fair division 1238: 1236: 1233: 1231: 1228: 1226: 1223: 1221: 1218: 1216: 1215:Dictator game 1213: 1211: 1208: 1206: 1203: 1201: 1198: 1196: 1193: 1191: 1188: 1186: 1183: 1181: 1178: 1176: 1173: 1171: 1168: 1166: 1163: 1161: 1158: 1156: 1153: 1151: 1148: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1126: 1123: 1121: 1118: 1116: 1113: 1111: 1108: 1106: 1103: 1102: 1100: 1098: 1094: 1088: 1087:Zero-sum game 1085: 1083: 1080: 1078: 1075: 1073: 1070: 1068: 1065: 1063: 1060: 1058: 1057:Repeated game 1055: 1053: 1050: 1048: 1045: 1043: 1040: 1038: 1036: 1032: 1030: 1027: 1025: 1022: 1020: 1017: 1015: 1012: 1010: 1007: 1006: 1004: 1002: 996: 990: 987: 985: 982: 980: 977: 975: 974:Pure strategy 972: 970: 967: 965: 962: 960: 957: 955: 952: 950: 947: 945: 942: 940: 939:De-escalation 937: 935: 932: 930: 927: 925: 922: 920: 917: 915: 912: 911: 909: 907: 903: 897: 894: 892: 889: 887: 884: 882: 881:Shapley value 879: 877: 874: 872: 869: 867: 864: 862: 859: 857: 854: 852: 849: 847: 844: 842: 839: 837: 834: 832: 829: 827: 824: 822: 819: 817: 814: 812: 809: 807: 804: 802: 799: 797: 794: 792: 789: 787: 784: 782: 779: 777: 774: 773: 771: 769: 765: 761: 755: 752: 750: 749:Succinct game 747: 745: 742: 740: 737: 735: 732: 730: 727: 725: 722: 720: 717: 715: 712: 710: 707: 705: 702: 700: 697: 695: 692: 690: 687: 685: 682: 680: 677: 675: 672: 670: 667: 666: 664: 660: 656: 648: 643: 641: 636: 634: 629: 628: 625: 619: 615: 612: 611: 607: 588: 583: 578: 574: 570: 569: 561: 554: 551: 545: 542: 537: 536: 531: 524: 521: 514: 510: 507: 505: 502: 500: 497: 496: 492: 490: 488: 480: 478: 464: 461: 458: 455: 452: 449: 446: 426: 423: 420: 400: 397: 394: 386: 381: 379: 375: 358: 353: 350: 345: 342: 337: 334: 329: 326: 306: 301: 298: 293: 290: 285: 282: 277: 274: 254: 249: 246: 241: 238: 233: 230: 208: 203: 200: 195: 192: 187: 184: 174: 169: 156: 151: 148: 143: 140: 137: 134: 129: 126: 121: 118: 110: 94: 91: 88: 85: 82: 79: 76: 68: 64: 60: 56: 52: 44: 42: 40: 37: 35: 30: 26: 22: 1534:Peyton Young 1529:Paul Milgrom 1444:HervĂ© Moulin 1384:Amos Tversky 1326:Folk theorem 1269: 1037:-player game 1034: 959:Grim trigger 594:. Retrieved 572: 566: 553: 544: 533: 523: 487:Ernan Haruvy 485:Uri Gneezy, 484: 384: 382: 172: 170: 66: 62: 58: 54: 50: 48: 33: 28: 24: 18: 1651:Coopetition 1454:Jean Tirole 1449:John Conway 1429:Eric Maskin 1225:Blotto game 1210:Pirate game 1019:Global game 989:Tit for tat 924:Bid shading 914:Appeasement 764:Equilibrium 744:Solved game 679:Determinacy 662:Definitions 655:game theory 21:game theory 1701:Categories 1295:Trust game 1280:Kuhn poker 949:Escalation 944:Deterrence 934:Cheap talk 906:Strategies 724:Preference 653:Topics of 596:2015-06-08 515:References 1479:John Nash 1185:Stag hunt 929:Collusion 462:− 450:− 424:− 398:− 346:− 330:− 294:− 278:− 144:− 122:− 92:− 80:− 27:(or just 1712:Dilemmas 1620:Lazy SMP 1314:Theorems 1265:Deadlock 1120:Checkers 1001:of games 768:concepts 587:Archived 493:See also 31:) is an 1372:figures 1155:Chicken 1009:Auction 999:Classes 36:-player 23:, the 1110:Chess 1097:Games 590:(PDF) 563:(PDF) 791:Core 456:> 138:> 86:> 49:Let 1370:Key 616:by 577:doi 573:114 19:In 1703:: 1105:Go 585:. 571:. 565:. 532:. 380:. 1035:n 646:e 639:t 632:v 599:. 579:: 538:. 465:k 459:a 453:l 447:b 427:l 421:b 401:k 395:a 385:k 359:l 354:n 351:1 343:x 338:n 335:1 327:b 307:k 302:n 299:1 291:x 286:n 283:1 275:a 255:k 250:n 247:1 242:+ 239:x 234:n 231:1 209:l 204:n 201:1 196:+ 193:x 188:n 185:1 173:x 157:l 152:n 149:1 141:b 135:k 130:n 127:1 119:a 95:b 89:a 83:l 77:k 67:n 63:l 59:k 55:b 51:a 34:n

Index

game theory
n-player
prisoner's dilemma
Prisoner's dilemma
strictly dominant
Nash equilibrium
Ernan Haruvy
Tragedy of the commons
Free-rider problem
Abilene paradox
"The dynamics of social dilemmas"
Scientific American
"The inefficiency of splitting the bill"
The Economic Journal
doi
10.1111/j.1468-0297.2004.00209.x
Archived
If You're Paying, I'll Have Top Sirloin
Russell Roberts
v
t
e
game theory
Congestion game
Cooperative game
Determinacy
Escalation of commitment
Extensive-form game
First-player and second-player win
Game complexity

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