1483:
468:
188:
889:
903:
40:
442:. Shapley defined game theory as "a mathematical study of conflict and cooperation." After graduating, he remained at Princeton for a short time before going back to the RAND corporation from 1954 to 1981. In 1950, while a graduate student, Shapley invented the board game
3130:
1473:
mentioned in his passing that
Shapley was second only to Von Neumann as the most important researcher in theory of games so far. Philip Wolfe Interview by Irv Lustig, May 4, 2001. Video by Irv Lustig, Short Hills,
1619:
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479:(UCLA), serving at the time of his death as a professor emeritus there, affiliated with the Mathematics and Economics departments. He died on March 12, 2016, in
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where he received a Ph.D. in 1953 based on the thesis "Additive and non-additive set functions". His thesis and post-doctoral work introduced the
3025:
3105:
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2227:
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2193:
853:
564:, Shapley "may have thought of himself as a mathematician, but he cannot avoid being remembered for his huge contributions to economics". The
539:
3180:
3175:
3100:
971:
Roth, A.E., Introduction to the
Shapley Value, in "The Shapley Value: Essays in Honor of Lloyd S. Shapley", Cambridge University Press, 1988.
449:
1459:: "Lloyd Shapley has dominated game theory for the thirty-seven years since von Neumann and Morgenstern published their path-breaking book,
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Shapley argued with his sons about whether he should accept the Nobel Prize at all. He opined that his father, the astronomer
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636:
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359:. Shapley is generally considered one of the most important contributors to the development of game theory since the work of
234:
1440:
Stable
Marriage and Its Relation to Other Combinatorial Problems: An Introduction to the Mathematical Analysis of Algorithms
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1177:
Hausner, M., Nash, J. F., Shapley, L. S. & Shubik, M., (1964), "So Long Sucker, A Four-Person Game",
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779:
527:
142:
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555:
138:
583:, and it was he who laid much of the groundwork for the solution of the problem of the existence of
2319:
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388:
67:
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579:
was so complete that little has been added since. He has been instrumental in the development of
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8:
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Hagerty, James, Lloyd
Shapley: 1923â2016, Wall Street Journal, March 19â20, 2016, p. A7.
1034:
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690:
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on non-atomic games and on long-term competition have all appeared in economic theory.
491:
435:
196:
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98:
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1303:
Hagerty, James, Lloyd
Shapley: 1923â2016, Wall Street Journal, March 19â20, 2016, p.A7
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2010:
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523:
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86:
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602:, deserved it more. His sons persuaded him to accept it and accompanied him to
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1986:
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1951:
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1835:
1787:
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1660:
1581:
1513:
1243:"Matchmaker in heaven â Lloyd Shapley, a Nobel laureate in economics, has died"
846:
728:
A Method for
Evaluating the Distribution of Power in a Committee System (with
599:
580:
568:
noted that
Shapley was "one of the giants of game theory and economic theory".
535:
444:
408:
392:
146:
1519:
1442:, Donald E. Knuth, American Mathematical Society, 1997 (English Translation.)
256:
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2118:
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2014:
1959:
1935:
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996:
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729:
592:
572:
560:
547:
503:
461:
457:
431:
376:
368:
340:
122:
16:
For Lloyd
Stowell Shapley's grand-uncle, the United States navy captain, see
3131:
Fellows of the
Institute for Operations Research and the Management Sciences
937:
723:
2845:
2762:
2722:
2682:
2674:
2250:
2239:
2216:
2201:
2154:
2070:
1883:
1867:
1827:
1739:
1052:
515:
403:
and was a student at
Harvard when he was drafted in 1943. He served in the
155:
1477:
2424:
2310:
2146:
2130:
2058:
1943:
1875:
1779:
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576:
439:
356:
219:
39:
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2626:
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2186:
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742:
484:
467:
1506:
from the Institute for Operations Research and the Management Sciences
348:
223:
1043:
288:
187:
2917:
464:
considered Shapley to be "the greatest game theorist of all time."
418:
After the war, Shapley returned to Harvard and graduated with an
865:
On Authority Distributions in Organizations (with Xingwei Hu),
591:
and B. Peleg on the kernel and the nucleolus, and his work with
2357:
888:
250:
1535:
1354:
Institute for Operations Research and the Management Sciences
664:
Institute for Operations Research and the Management Sciences
102:
1328:
755:
Simple Games : An Outline of the Descriptive Theory ,
331:
3196:
Distinguished fellows of the American Economic Association
1457:
Citation of von Neumann Theory Prize on L.S.Shapley's work
821:
Mathematical Properties of the Banzhaf Power Index (with
475:
From 1981 until his death, Shapley was a professor at the
422:
in mathematics in 1948. After working for one year at the
375:"for the theory of stable allocations and the practice of
319:
3121:
Members of the United States National Academy of Sciences
834:
Long-Term Competition â A Game-Theoretic Analysis (with
322:
111:
985:"Lloyd Shapley, a Nobel laureate in economics, has died"
741:
College Admissions and the Stability of Marriage (with
3206:
United States Army Air Forces personnel of World War II
1189:
1187:
1179:
Game Theory and Related Approaches to Social Behavior
1404:
List of Fellows of the American Mathematical Society
884:
328:
325:
1184:
316:
2567:
1565:Laureate of the Nobel Memorial Prize in Economics
415:decoration for breaking the Soviet weather code.
339:; June 2, 1923 â March 12, 2016) was an American
3077:
933:
931:
2308:
1319:
1317:
1315:
1313:
1311:
1309:
1273:Economic Thinkers: A Biographical Encyclopedia
711:volume II, H. W. Kuhn and A. W. Tucker (eds.).
2553:
2294:
1613:
1467:Albert Tucker's comment on L.S.Shapley's work
786:Utility Comparison and the Theory of Games ,
3191:Fellows of the American Mathematical Society
1633:Sveriges Riksbank Prize in Economic Sciences
1152:
1128:"Princeton alumnus Shapley wins Nobel Prize"
928:
872:Multiperson Utility (with Manel Baucells).
571:Besides, his early work with R. N. Snow and
1306:
387:Lloyd Shapley was born on June 2, 1923, in
2560:
2546:
2301:
2287:
1620:
1606:
1481:
716:Proceedings of National Academy of Science
38:
3161:21st-century American non-fiction writers
1461:The Theory of Games and Economic Behavior
1155:"Additive and non-additive set functions"
1042:
685:Nobel Memorial Prize in Economic Sciences
373:Nobel Memorial Prize in Economic Sciences
182:Nobel Memorial Prize in Economic Sciences
1269:
1181:, John Wiley & Sons, Inc., New York.
697:
466:
1122:
1120:
800:The Assignment Game I: The Core (with
460:. Israeli economist and Nobel Laureate
257:Additive and non-additive set functions
3078:
1201:
1199:
1146:
3106:John von Neumann Theory Prize winners
2541:
2282:
1601:
1270:Diertele, David A. (August 8, 2013).
1097:
1095:
637:American Academy of Arts and Sciences
477:University of California, Los Angeles
235:University of California, Los Angeles
3181:21st-century American mathematicians
3176:20th-century American mathematicians
3101:People from Cambridge, Massachusetts
1235:
1117:
1016:
979:
977:
952:
806:International Journal of Game Theory
795:International Journal of Game Theory
709:Contributions to the Theory of Games
609:
1196:
869:Vol. 45, pp. 132â152, 153â170.
840:Essays in Game Theory: In Honor of
585:Von NeumannâMorgenstern stable sets
556:ShapleyâFolkman lemma & theorem
173:Marian Louise Shapley (since 1955)
139:ShapleyâFolkman lemma & theorem
13:
3126:Fellows of the Econometric Society
1434:
1092:
828:Mathematics of Operations Research
767:Naval Research Logistics Quarterly
494:player, and an avid baseball fan.
399:, both from Missouri. He attended
382:
351:. He contributed to the fields of
23:American mathematician (1923â2016)
14:
3232:
3216:American people of German descent
1445:
1350:"INFORMS â Fellows Class of 2002"
974:
735:American Political Science Review
391:, one of the sons of astronomers
3171:21st-century American economists
3166:20th-century American economists
901:
887:
312:
186:
1709:Leonid Vitaliyevich Kantorovich
1409:
1397:
1372:
1342:
1297:
1263:
1171:
497:
471:Lloyd Shapley in Stockholm 2012
3221:Phillips Exeter Academy alumni
3151:American probability theorists
1325:"Lloyd Stowell Shapley â Vita"
1103:"Lloyd S. Shapley â Interview"
1074:
1010:
965:
955:"Spouse - source from NYTimes"
946:
818:), Princeton University Press.
657:Hebrew University of Jerusalem
1:
3211:American expatriates in China
3201:Economists from Massachusetts
3156:20th-century American writers
2569:John von Neumann Theory Prize
1504:Biography of Lloyd S. Shapley
1490:Robert Aumann's Nobel lecture
1384:American Economic Association
1214:American Economic Association
1019:"Lloyd S. Shapley 1923â 2016"
942:Mathematics Genealogy Project
922:
764:On Balanced Sets and Cores ,
749:American Mathematical Monthly
718:Vol. 39, pp. 1095â1100.
678:American Mathematical Society
671:American Economic Association
650:John von Neumann Theory Prize
566:American Economic Association
202:John von Neumann Theory Prize
3116:Nobel laureates in Economics
644:National Academy of Sciences
558:bear his name. According to
526:or block voting power), the
405:United States Army Air Corps
7:
1486:including the Nobel Lecture
1017:Roth, Al (March 12, 2016).
917:Matching theory (economics)
880:
874:Games and Economic Behavior
867:Games and Economic Behavior
859:Games and Economic Behavior
618:, U.S. Army Air Corps, 1944
518:have non-empty cores), the
10:
3237:
1701:Friedrich August von Hayek
1406:, retrieved July 18, 2013.
953:Jain, C (March 15, 2016).
876:Vol. 62, pp. 329â347.
862:Vol. 14, pp. 124â143.
812:Values of Non-Atomic Games
780:Journal of Economic Theory
770:Vol. 14, pp. 453â460.
738:Vol. 48, pp. 787â792.
554:for matrix games, and the
520:ShapleyâShubik power index
127:ShapleyâShubik power index
15:
3186:Harvard University alumni
2814:
2575:
2465:
2440:
2415:
2390:
2367:
2343:
2318:
2099:Christopher A. Pissarides
1973:
1722:
1639:
1578:
1562:
1550:
1545:
1276:. Abc-Clio. p. 385.
808:Vol. 1, pp. 111â130.
512:BondarevaâShapley theorem
483:, after suffering from a
283:
279:
267:
249:
229:
215:
208:
177:
169:
135:BondarevaâShapley theorem
118:
94:
75:
49:
37:
30:
3111:American Nobel laureates
1512:publications indexed by
1419:. The Golden Goose Award
831:Vol. 4, pp. 99â132.
389:Cambridge, Massachusetts
153:, kernel, and nucleolus
68:Cambridge, Massachusetts
3146:RAND Corporation people
3141:Mathematical economists
3136:American game theorists
1380:"Distinguished Fellows"
852:Potential Games (with
849:(ed.), Springer-Verlag.
797:Vol. 1, pp. 11â26.
793:Cores of Convex Games
773:On Market Games (with
761:Vol. 7, pp. 59â66.
752:Vol. 69, pp. 9â15.
724:10.1073/pnas.39.10.1095
550:âShapley solution, the
532:stable marriage problem
401:Phillips Exeter Academy
371:, Shapley won the 2012
3058:Christos Papadimitriou
2898:Arthur F. Veinott, Jr.
2803:R. Tyrrell Rockafellar
2471:Nobel Prize recipients
2417:Physiology or Medicine
783:Vol. 1, pp. 9â25.
669:Distinguished Fellow,
528:GaleâShapley algorithm
490:Shapley was an expert
472:
353:mathematical economics
160:authority distribution
143:GaleâShapley algorithm
2978:Jean Bernard Lasserre
1820:James M. Buchanan Jr.
1153:L.S. Shapley (1953).
1082:"MARTHA BETZ SHAPLEY"
698:Selected publications
470:
308:Lloyd Stowell Shapley
54:Lloyd Stowell Shapley
18:Lloyd Stowell Shapley
2083:Oliver E. Williamson
1713:Tjalling C. Koopmans
1132:Princeton University
623:Princeton University
552:SnowâShapley theorem
514:(which implies that
487:, at the age of 92.
428:Princeton University
345:Nobel Memorial Prize
244:Princeton University
163:multi-person utility
108:Princeton University
2890:Alexander Schrijver
2866:J. Michael Harrison
2111:Christopher A. Sims
2039:Thomas C. Schelling
2011:Robert F. Engle III
1912:Robert E. Lucas Jr.
1760:Theodore W. Schultz
1558:Christopher A. Sims
1088:. January 27, 1981.
1035:2016Natur.532..178R
790:, pp. 251â263.
714:Stochastic Games ,
707:-person Games , In
630:Econometric Society
534:, the concept of a
397:Martha Betz Shapley
3062:Mihalis Yannakakis
3022:Dimitris Bertsimas
2842:Donald L. Iglehart
2826:Manfred W. Padberg
2027:Edward C. Prescott
2015:Clive W.J. Granger
1991:Joseph E. Stiglitz
1964:Daniel L. McFadden
1852:Harry M. Markowitz
1571:Served alongside:
1520:"Lloyd S. Shapley"
1499:UCLA â In Memoriam
1480:on Nobelprize.org
1134:. October 15, 2012
1086:The New York Times
959:The New York Times
758:Behavioral Science
691:Golden Goose Award
683:Sveriges Riksbank
473:
197:Golden Goose Award
99:Harvard University
3073:
3072:
3066:
3054:
3046:
3042:Alexander Shapiro
3038:
3030:
3018:
3010:Dimitri Bertsekas
3006:
2994:
2982:
2970:
2962:
2954:
2942:
2938:Gérard Cornuéjols
2934:
2922:
2910:
2902:
2894:
2878:
2870:
2862:
2854:Arkadi Nemirovski
2850:
2838:
2830:
2807:
2799:
2791:
2783:
2779:Peter C. Fishburn
2775:
2767:
2759:
2751:
2739:
2731:Richard E. Barlow
2727:
2719:
2711:
2703:
2695:
2687:
2679:
2671:
2663:
2659:Richard J. Duffin
2655:William W. Cooper
2647:
2639:
2623:
2615:
2603:
2595:
2587:
2535:
2534:
2442:Economic Sciences
2406:David J. Wineland
2276:
2275:
2175:Richard H. Thaler
2139:Robert J. Shiller
2135:Lars Peter Hansen
2107:Thomas J. Sargent
2095:Dale T. Mortensen
1987:A. Michael Spence
1983:George A. Akerlof
1952:Robert A. Mundell
1920:James A. Mirrlees
1888:Douglass C. North
1860:William F. Sharpe
1812:Franco Modigliani
1788:George J. Stigler
1772:Lawrence R. Klein
1661:Paul A. Samuelson
1596:
1595:
1590:Robert J. Shiller
1586:Lars Peter Hansen
1579:Succeeded by
1554:Thomas J. Sargent
1452:The Shapley Value
1360:on March 14, 2016
1223:on March 16, 2016
662:Fellow, INFORMS (
610:Awards and honors
411:and received the
305:
304:
210:Scientific career
192:Bronze Star Medal
3228:
3064:
3052:
3044:
3036:
3028:
3016:
3004:
2992:
2990:Ruth J. Williams
2986:Martin I. Reiman
2980:
2968:
2960:
2952:
2946:George Nemhauser
2940:
2932:
2920:
2908:
2900:
2892:
2882:Martin Grötschel
2876:
2868:
2860:
2848:
2836:
2828:
2822:Ellis L. Johnson
2805:
2797:
2789:
2781:
2773:
2765:
2757:
2749:
2737:
2725:
2717:
2709:
2707:Herbert A. Simon
2701:
2693:
2685:
2677:
2669:
2661:
2645:
2637:
2635:Albert W. Tucker
2621:
2613:
2611:Carlton E. Lemke
2601:
2593:
2585:
2562:
2555:
2548:
2539:
2538:
2473:
2427:(United Kingdom)
2328:Robert Lefkowitz
2303:
2296:
2289:
2280:
2279:
2269:
2261:
2259:Philip H. Dybvig
2242:
2223:
2221:Robert B. Wilson
2208:
2198:Abhijit Banerjee
2189:
2183:William Nordhaus
2177:
2169:
2157:
2149:
2141:
2125:
2123:Lloyd S. Shapley
2113:
2101:
2091:Peter A. Diamond
2085:
2073:
2065:
2063:Roger B. Myerson
2049:
2047:Edmund S. Phelps
2041:
2035:Robert J. Aumann
2029:
2017:
2005:
1993:
1966:
1960:James J. Heckman
1954:
1946:
1938:
1936:Myron S. Scholes
1932:Robert C. Merton
1926:
1914:
1906:
1900:John F. Nash Jr.
1896:John C. Harsanyi
1890:
1878:
1870:
1862:
1856:Merton H. Miller
1846:
1838:
1830:
1822:
1814:
1806:
1798:
1790:
1782:
1774:
1766:
1764:Sir Arthur Lewis
1754:
1752:Herbert A. Simon
1746:
1734:
1715:
1703:
1691:
1689:Wassily Leontief
1683:
1681:Kenneth J. Arrow
1671:
1663:
1655:
1622:
1615:
1608:
1599:
1598:
1551:Preceded by
1543:
1542:
1539:
1527:
1492:, also see here
1485:
1478:Lloyd S. Shapley
1471:Albert W. Tucker
1429:
1428:
1426:
1424:
1413:
1407:
1401:
1395:
1394:
1392:
1390:
1376:
1370:
1369:
1367:
1365:
1356:. Archived from
1346:
1340:
1339:
1337:
1335:
1321:
1304:
1301:
1295:
1294:
1292:
1290:
1267:
1261:
1260:
1258:
1256:
1251:. March 13, 2016
1239:
1233:
1232:
1230:
1228:
1222:
1216:. Archived from
1211:
1203:
1194:
1191:
1182:
1175:
1169:
1168:
1166:
1164:
1159:
1150:
1144:
1143:
1141:
1139:
1124:
1115:
1114:
1112:
1110:
1105:. Nobel Media AB
1099:
1090:
1089:
1078:
1072:
1071:
1069:
1067:
1046:
1014:
1008:
1007:
1005:
1003:
981:
972:
969:
963:
962:
950:
944:
935:
911:
909:Biography portal
906:
905:
904:
897:
895:Economics portal
892:
891:
842:Michael Maschler
655:Honorary Ph.D.,
621:Procter Fellow,
587:. His work with
508:stochastic games
454:John Forbes Nash
424:RAND Corporation
338:
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131:stochastic games
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2715:Harry Markowitz
2651:Abraham Charnes
2619:David Blackwell
2599:Felix Pollaczek
2591:Richard Bellman
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2020:
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2003:Vernon L. Smith
1999:Daniel Kahneman
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1980:
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1924:William Vickrey
1917:
1909:
1904:Reinhard Selten
1893:
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1881:
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1868:Ronald H. Coase
1865:
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1844:Trygve Haavelmo
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1532:"Lloyd Shapley"
1530:
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1435:Further reading
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1417:"Market Design"
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612:
502:Along with the
500:
481:Tucson, Arizona
385:
383:Life and career
355:and especially
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95:Alma mater
90:
87:Tucson, Arizona
84:
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45:
44:Shapley in 1980
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3050:Vijay Vazirani
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2966:Nimrod Megiddo
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2930:Peter W. Glynn
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2914:Yurii Nesterov
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2055:Leonid Hurwicz
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608:
600:Harlow Shapley
581:utility theory
544:AumannâShapley
536:potential game
499:
496:
445:So Long Sucker
409:Chengdu, China
393:Harlow Shapley
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147:potential game
120:
119:Known for
116:
115:
96:
92:
91:
85:
83:(aged 92)
79:March 12, 2016
77:
73:
72:
66:
53:
51:
47:
46:
43:
35:
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31:
22:
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3086:Lloyd Shapley
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3026:Jong-Shi Pang
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3011:
3008:
3003:
3002:Jorge Nocedal
2999:
2996:
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2886:LĂĄszlĂł LovĂĄsz
2883:
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2748:
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2732:
2729:
2724:
2721:
2716:
2713:
2708:
2705:
2700:
2699:Samuel Karlin
2697:
2692:
2691:Kenneth Arrow
2689:
2684:
2681:
2676:
2673:
2668:
2667:Herbert Scarf
2665:
2660:
2656:
2652:
2649:
2644:
2643:Lloyd Shapley
2641:
2636:
2632:
2628:
2625:
2620:
2617:
2612:
2608:
2605:
2600:
2597:
2592:
2589:
2584:
2581:
2580:
2578:
2574:
2570:
2563:
2558:
2556:
2551:
2549:
2544:
2543:
2540:
2528:
2525:
2523:
2520:
2518:
2515:
2513:
2510:
2508:
2505:
2503:
2500:
2498:
2495:
2493:
2490:
2488:
2485:
2483:
2480:
2478:
2475:
2472:
2468:
2467:
2464:
2457:
2456:Lloyd Shapley
2454:
2451:
2450:Alvin E. Roth
2448:
2447:
2445:
2443:
2439:
2432:
2429:
2426:
2423:
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2407:
2404:
2401:
2400:Serge Haroche
2398:
2397:
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2383:
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2342:
2335:
2334:Brian Kobilka
2332:
2329:
2326:
2325:
2323:
2321:
2317:
2312:
2304:
2299:
2297:
2292:
2290:
2285:
2284:
2281:
2268:
2263:
2260:
2256:
2252:
2248:
2244:
2241:
2237:
2233:
2229:
2225:
2222:
2218:
2214:
2210:
2207:
2203:
2199:
2195:
2191:
2188:
2184:
2179:
2176:
2171:
2168:
2164:
2159:
2156:
2151:
2148:
2143:
2140:
2136:
2132:
2127:
2124:
2120:
2119:Alvin E. Roth
2115:
2112:
2108:
2103:
2100:
2096:
2092:
2087:
2084:
2080:
2079:Elinor Ostrom
2075:
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2064:
2060:
2056:
2051:
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2043:
2040:
2036:
2031:
2028:
2024:
2019:
2016:
2012:
2007:
2004:
2000:
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1992:
1988:
1984:
1979:
1978:
1976:
1972:
1965:
1961:
1956:
1953:
1948:
1945:
1940:
1937:
1933:
1928:
1925:
1921:
1916:
1913:
1908:
1905:
1901:
1897:
1892:
1889:
1885:
1880:
1877:
1872:
1869:
1864:
1861:
1857:
1853:
1848:
1845:
1840:
1837:
1832:
1829:
1824:
1821:
1816:
1813:
1808:
1805:
1804:Richard Stone
1800:
1797:
1796:GĂ©rard Debreu
1792:
1789:
1784:
1781:
1776:
1773:
1768:
1765:
1761:
1756:
1753:
1748:
1745:
1741:
1736:
1733:
1728:
1727:
1725:
1721:
1714:
1710:
1705:
1702:
1698:
1697:Gunnar Myrdal
1693:
1690:
1685:
1682:
1678:
1677:John R. Hicks
1673:
1670:
1669:Simon Kuznets
1665:
1662:
1657:
1654:
1653:Jan Tinbergen
1650:
1649:Ragnar Frisch
1645:
1644:
1642:
1638:
1634:
1630:
1623:
1618:
1616:
1611:
1609:
1604:
1603:
1600:
1591:
1587:
1583:
1576:
1575:
1574:Alvin E. Roth
1567:
1566:
1559:
1555:
1549:
1544:
1537:
1533:
1529:
1525:
1521:
1517:
1515:
1511:
1510:Lloyd Shapley
1508:
1505:
1502:
1500:
1497:
1494:
1491:
1488:
1484:
1479:
1476:
1472:
1468:
1465:
1462:
1458:
1455:
1453:
1450:
1449:
1443:
1441:
1418:
1412:
1405:
1400:
1385:
1381:
1375:
1359:
1355:
1351:
1345:
1330:
1326:
1320:
1318:
1316:
1314:
1312:
1310:
1300:
1285:
1283:9780313397479
1279:
1275:
1274:
1266:
1250:
1249:
1248:The Economist
1244:
1238:
1219:
1215:
1208:
1202:
1200:
1190:
1188:
1180:
1174:
1156:
1149:
1133:
1129:
1123:
1121:
1104:
1098:
1096:
1087:
1083:
1077:
1062:
1058:
1054:
1050:
1045:
1040:
1036:
1032:
1029:(7598): 178.
1028:
1024:
1020:
1013:
998:
994:
990:
989:The Economist
986:
980:
978:
968:
960:
956:
949:
943:
939:
938:Lloyd Shapley
934:
932:
927:
918:
915:
914:
910:
899:
896:
890:
885:
875:
871:
868:
864:
861:
860:
855:
851:
848:
844:
843:
837:
836:Robert Aumann
833:
830:
829:
824:
823:Pradeep Dubey
820:
817:
816:Robert Aumann
813:
810:
807:
803:
802:Martin Shubik
799:
796:
792:
789:
785:
782:
781:
776:
775:Martin Shubik
772:
769:
768:
763:
760:
759:
754:
751:
750:
744:
740:
737:
736:
731:
730:Martin Shubik
727:
725:
721:
717:
713:
710:
706:
702:
701:
692:
689:
686:
682:
679:
675:
672:
668:
665:
661:
658:
654:
651:
648:
645:
641:
638:
634:
631:
627:
624:
620:
617:
614:
613:
607:
605:
601:
596:
594:
593:Robert Aumann
590:
586:
582:
578:
574:
573:Samuel Karlin
569:
567:
563:
562:
561:The Economist
557:
553:
549:
546:pricing, the
545:
541:
537:
533:
529:
525:
521:
517:
513:
509:
505:
504:Shapley value
495:
493:
488:
486:
482:
478:
469:
465:
463:
462:Robert Aumann
459:
458:Martin Shubik
455:
451:
448:, along with
447:
446:
441:
437:
433:
432:Shapley value
429:
426:, he went to
425:
421:
416:
414:
410:
406:
402:
398:
394:
390:
380:
378:
377:market design
374:
370:
369:Alvin E. Roth
366:
362:
358:
354:
350:
346:
342:
341:mathematician
336:
309:
300:
286:
282:
278:
275:
272:
270:
266:
259:
258:
254:
252:
248:
245:
241:
236:
232:
228:
225:
221:
218:
214:
211:
207:
203:
198:
193:
189:
183:
180:
176:
172:
168:
161:
157:
152:
148:
144:
140:
136:
132:
128:
124:
123:Shapley value
121:
117:
113:
109:
104:
100:
97:
93:
88:
78:
74:
69:
52:
48:
41:
36:
32:Lloyd Shapley
29:
26:
19:
3034:Adrian Lewis
2846:Cyrus Derman
2815:2000âpresent
2763:Lajos Takacs
2747:Philip Wolfe
2723:Richard Karp
2683:Jack Edmonds
2675:Ralph Gomory
2642:
2607:John F. Nash
2501:
2455:
2251:Ben Bernanke
2240:Guido Imbens
2217:Paul Milgrom
2202:Esther Duflo
2155:Angus Deaton
2122:
2071:Paul Krugman
1974:2001âpresent
1740:Bertil Ohlin
1572:
1569:2012
1563:
1460:
1439:
1438:
1421:. Retrieved
1411:
1399:
1387:. Retrieved
1374:
1362:. Retrieved
1358:the original
1344:
1332:. Retrieved
1299:
1287:. Retrieved
1272:
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589:M. Maschler
450:Mel Hausner
440:game theory
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357:game theory
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