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David Schmeidler

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324:. Schmeidler was the first to propose a general-purpose, axiomatically-based decision theoretic model that deviated from the Bayesian dictum, according to which any uncertainty can and should be quantified by probabilities. He suggested and axiomatized 309:, in which each player has negligible impact on the play of the game, as well as the related concept of “congestion games”, where a player's payoff only depends on the distribution of the other players’ strategic choices (and not on individual choices). 985: 824: 290:– based on equity as well as feasibility considerations. This concept, originating from Schmeidler's PhD dissertation, was used to resolve a 2000 years old problem.  995: 355:. While in the experiments, drawing balls from urns, one may adopt a probabilistic belief, in real life one often couldn't find a natural candidate for one's beliefs. 386: 382: 817: 970: 955: 425: 980: 965: 810: 302:, which defied scholars’ attempts at comprehension over two millennia, was naturally resolved when applying the concept of the nucleolus. 990: 508: 975: 761: 728: 704: 609: 504: 482: 411: 343:'s experiments, Schmeidler's motivation was not to explain psychological findings. Rather, along the lines attributed to 239: 243: 443: 945: 450: 418: 231: 68: 797: 287: 183: 202:(1939 – 17 March 2022) was an Israeli mathematician and economic theorist. He was a Professor Emeritus at 950: 681: 226:
and moved back to Poland at the end of the war and to Israel in 1949. From 1960 to 1969 he studied
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Aumann, R. J, and M. Maschler(1985) "Game theoretic analysis of a bankruptcy problem from the Talmud",
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of homogeneous resources, that has advantages over the previously studied criterion of
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Schmeidler has made many other contributions, ranging from conceptual issues in
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While this approach can be used to explain commonly observed behavior in
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1989: "Subjective probability and expected utility without additivity",
854: 666: 583: 567: 259: 251: 179: 788: 262:. He held a part-time position as professor of economics at the 255: 93: 650: 219: 44: 234:(BSc, MSc, and PhD), the advanced degrees under the supervision of 390: 298:, in a paper published in 1985, showed that a conundrum from the 635:"Subjective Probability and Expected Utility without Additivity" 398: 394: 299: 223: 124: 320:. But his most influential contribution is probably in 634: 353:
it is not necessarily more rational to be Bayesian than not
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1995: (with Itzhak Gilboa) "Case-based decision theory",
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1969: "The nucleolus of a characteristic function game",
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Members of the Israel Academy of Sciences and Humanities
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Fellows of the American Academy of Arts and Sciences
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1986: "Integral representation without additivity",
544: 472:Analogies and Theories: Formal Models of Reasoning 602:Analogies and theories formal models of reasoning 328:, according to which uncertainty is modeled by a 927: 679: 572:Proceedings of the American Mathematical Society 426:Proceedings of the American Mathematical Society 417:1973: "Equilibrium points of non-atomic games", 751: 718: 682:"Maxmin expected utility with non-unique prior" 599: 282:. He suggested a new approach to solving 266:since 1987. Schmeidler died on 17 March 2022. 818: 381:, David Schmeidler also developed the theory 351:, the argument is normative, suggesting that 389:. He has also served as the advisor of 825: 811: 691:, Taylor & Francis, pp. 125–135, 680:Gilboa, Itzhak; Schmeidler, David (2004), 632: 509:Israeli Academy of Sciences and Humanities 511:. He served as the President of the 274:Schmeidler's early contributions were in 971:Einstein Institute of Mathematics alumni 956:Israeli people of Polish-Jewish descent 305:Schmeidler also pioneered the study of 928: 547:Equilibrium points of non-atomic games 981:Academic staff of Tel Aviv University 966:Hebrew University of Jerusalem alumni 806: 505:American Academy of Arts and Sciences 499:David Schmeidler was a Fellow of the 269: 218:David Schmeidler was born in 1939 in 754:Theory of decision under uncertainty 222:, Poland. He spent the war years in 412:SIAM Journal on Applied Mathematics 250:in 1971, holding professorships in 13: 991:Fellows of the Econometric Society 130:Games with a continuum of players 14: 1007: 782: 503:, Honorary Foreign Member of the 444:Journal of Mathematical Economics 404: 16:Israeli mathematician (1939–2022) 721:A theory of case-based decisions 466:2015: (with Itzhak Gilboa & 458:A Theory of Case-Based Decisions 697:10.4324/9780203358061_chapter_6 756:. Cambridge University Press. 745: 723:. Cambridge University Press. 712: 689:Uncertainty in Economic Theory 673: 633:Schmeidler, David (May 1989). 626: 593: 577: 561: 538: 525: 451:Quarterly Journal of Economics 419:Journal of Statistical Physics 362:, he introduced the notion of 240:Catholic University of Louvain 232:Hebrew University of Jerusalem 69:Hebrew University of Jerusalem 1: 976:Ohio State University faculty 798:Mathematics Genealogy Project 518: 316:, to mathematical results in 213: 7: 604:. Oxford University Press. 545:Schmeidler, David. (1970). 456:2001: (with Itzhak Gilboa) 246:at Berkeley before joining 10: 1012: 533:Journal of Economic Theory 462:Cambridge University Press 387:case-based decision theory 307:non-atomic strategic games 280:general equilibrium theory 876: 841: 494: 193: 189: 178: 173: 169: 165: 161: 151: 139: 123: 102: 81: 74: 64: 52: 30: 23: 752:Gilboa, Itzhak. (2009). 719:Gilboa, Itzhak. (2001). 326:Choquet Expected Utility 244:University of California 600:Gilboa, Itzhak (2015). 476:Oxford University Press 383:maxmin expected utility 364:egalitarian equivalence 184:IDEAS / RePEc 946:Israeli mathematicians 507:, and a Member of the 238:. He visited the 314:implementation theory 264:Ohio State University 208:Ohio State University 115:Ohio State University 835:Game Theory Society 513:Game Theory Society 501:Econometric Society 349:John Maynard Keynes 248:Tel-Aviv University 204:Tel Aviv University 110:Tel Aviv University 951:Israeli economists 833:Presidents of the 590:, 57, pp. 571–587. 574:, 97, pp. 255–261. 377:With his student, 366:- a criterion for 270:Main contributions 923: 922: 763:978-0-521-51732-4 730:978-0-521-80234-5 706:978-0-203-68357-6 611:978-0-19-873802-2 483:978-0-19-873802-2 300:Babylonian Talmud 284:cooperative games 197: 196: 152:Doctoral students 76:Scientific career 60:(aged 82–83) 1003: 896:David Schmeidler 827: 820: 813: 804: 803: 794:David Schmeidler 789:Personal website 776: 775: 749: 743: 742: 716: 710: 709: 686: 677: 671: 670: 630: 624: 623: 597: 591: 581: 575: 565: 559: 558: 549:. Kathol. Univ. 542: 536: 529: 334:Choquet integral 296:Michael Maschler 200:David Schmeidler 141:Doctoral advisor 135: 59: 41: 39: 25:David Schmeidler 21: 20: 1011: 1010: 1006: 1005: 1004: 1002: 1001: 1000: 926: 925: 924: 919: 914:Matthew Jackson 902:Larry Samuelson 872: 861:H. Peyton Young 837: 831: 785: 780: 779: 764: 750: 746: 731: 717: 713: 707: 684: 678: 674: 651:10.2307/1911053 631: 627: 612: 598: 594: 582: 578: 566: 562: 543: 539: 530: 526: 521: 497: 468:Larry Samuelson 407: 322:decision theory 272: 216: 174:Academic career 133: 119: 98: 65:Alma mater 57: 48: 42: 37: 35: 26: 17: 12: 11: 5: 1009: 999: 998: 993: 988: 983: 978: 973: 968: 963: 961:Game theorists 958: 953: 948: 943: 938: 921: 920: 918: 917: 916:(2020–present) 911: 905: 899: 893: 887: 880: 878: 874: 873: 871: 870: 864: 858: 852: 845: 843: 839: 838: 830: 829: 822: 815: 807: 801: 800: 791: 784: 783:External links 781: 778: 777: 762: 744: 729: 711: 705: 672: 645:(3): 571–587. 625: 610: 592: 576: 560: 537: 523: 522: 520: 517: 496: 493: 492: 491: 464: 454: 447: 436: 429: 422: 415: 414:17: 1163–1170. 406: 405:Selected works 403: 318:measure theory 271: 268: 215: 212: 195: 194: 191: 190: 187: 186: 176: 175: 171: 170: 167: 166: 163: 162: 159: 158: 153: 149: 148: 143: 137: 136: 127: 121: 120: 118: 117: 112: 106: 104: 100: 99: 97: 96: 91: 85: 83: 79: 78: 72: 71: 66: 62: 61: 54: 50: 49: 43: 32: 28: 27: 24: 15: 9: 6: 4: 3: 2: 1008: 997: 994: 992: 989: 987: 984: 982: 979: 977: 974: 972: 969: 967: 964: 962: 959: 957: 954: 952: 949: 947: 944: 942: 939: 937: 934: 933: 931: 915: 912: 909: 906: 903: 900: 897: 894: 891: 890:Roger Myerson 888: 885: 882: 881: 879: 875: 868: 865: 862: 859: 856: 853: 850: 849:Robert Aumann 847: 846: 844: 840: 836: 828: 823: 821: 816: 814: 809: 808: 805: 799: 795: 792: 790: 787: 786: 773: 769: 765: 759: 755: 748: 740: 736: 732: 726: 722: 715: 708: 702: 698: 694: 690: 683: 676: 668: 664: 660: 656: 652: 648: 644: 640: 636: 629: 621: 617: 613: 607: 603: 596: 589: 585: 580: 573: 569: 564: 556: 552: 548: 541: 534: 528: 524: 516: 515:(2014–2016). 514: 510: 506: 502: 490: 487: 484: 480: 477: 473: 469: 465: 463: 459: 455: 453:110: 605–639. 452: 448: 445: 441: 440:Itzhak Gilboa 437: 434: 430: 427: 423: 420: 416: 413: 409: 408: 402: 400: 396: 392: 388: 384: 380: 379:Itzhak Gilboa 375: 373: 372:envy-freeness 369: 368:fair division 365: 361: 360:Elisha Pazner 356: 354: 350: 346: 342: 337: 335: 331: 327: 323: 319: 315: 310: 308: 303: 301: 297: 293: 292:Robert Aumann 289: 285: 281: 277: 267: 265: 261: 257: 253: 249: 245: 241: 237: 236:Robert Aumann 233: 229: 225: 221: 211: 209: 205: 201: 192: 188: 185: 181: 177: 172: 168: 164: 160: 157: 156:Itzhak Gilboa 154: 150: 147: 146:Robert Aumann 144: 142: 138: 131: 128: 126: 122: 116: 113: 111: 108: 107: 105: 101: 95: 92: 90: 87: 86: 84: 80: 77: 73: 70: 67: 63: 56:17 March 2022 55: 51: 46: 33: 29: 22: 19: 908:HervĂ© Moulin 895: 877:2010–present 753: 747: 720: 714: 688: 675: 642: 639:Econometrica 638: 628: 601: 595: 588:Econometrica 587: 579: 571: 563: 546: 540: 527: 498: 471: 457: 446:18: 141–153. 438:1989: (with 435:57: 571–587. 433:Econometrica 428:97: 255–261. 391:Peter Wakker 376: 357: 352: 345:Frank Knight 338: 311: 304: 273: 217: 199: 198: 129: 103:Institutions 75: 58:(2022-03-17) 18: 941:2022 deaths 936:1939 births 910:(2018–2020) 904:(2016–2018) 898:(2014–2016) 892:(2012–2014) 886:(2010–2012) 884:Eric Maskin 869:(2008–2010) 867:Sergiu Hart 863:(2006–2008) 857:(2003–2006) 851:(1999–2003) 535:36: 195–213 421:7: 295–301. 276:game theory 228:mathematics 180:Information 89:Mathematics 930:Categories 855:Ehud Kalai 519:References 399:Xiangyu Qu 395:Shiri Alon 260:management 252:statistics 842:1999–2010 772:258332761 739:928470879 659:0012-9682 620:981398378 555:632833909 288:nucleolus 256:economics 214:Biography 94:Economics 341:Ellsberg 330:capacity 206:and the 47:, Poland 796:at the 667:1911053 489:3362708 230:at the 36: ( 770:  760:  737:  727:  703:  665:  657:  618:  608:  553:  495:Honors 481:  397:, and 286:– the 258:, and 224:Russia 220:KrakĂłw 134:(1969) 132:  125:Thesis 82:Fields 45:KrakĂłw 685:(PDF) 663:JSTOR 358:With 768:OCLC 758:ISBN 735:OCLC 725:ISBN 701:ISBN 655:ISSN 616:OCLC 606:ISBN 551:OCLC 479:ISBN 385:and 347:and 294:and 278:and 242:and 53:Died 38:1940 34:1939 31:Born 693:doi 647:doi 182:at 932:: 766:. 733:. 699:, 687:, 661:. 653:. 643:57 641:. 637:. 614:. 586:, 570:, 486:MR 474:, 470:) 460:, 401:. 393:, 374:. 336:. 254:, 210:. 826:e 819:t 812:v 774:. 741:. 695:: 669:. 649:: 622:. 557:. 40:)

Index

KrakĂłw
Hebrew University of Jerusalem
Mathematics
Economics
Tel Aviv University
Ohio State University
Thesis
Doctoral advisor
Robert Aumann
Itzhak Gilboa
Information
IDEAS / RePEc
Tel Aviv University
Ohio State University
KrakĂłw
Russia
mathematics
Hebrew University of Jerusalem
Robert Aumann
Catholic University of Louvain
University of California
Tel-Aviv University
statistics
economics
management
Ohio State University
game theory
general equilibrium theory
cooperative games
nucleolus

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