1494:
479:
199:
900:
914:
51:
453:. 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
3141:
1484:
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,
1630:
3206:
3131:
2570:
1623:
3216:
1364:
674:
1616:
1639:
562:
2908:
2988:
965:
490:(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
2563:
1360:
3201:
2868:
1542:
2852:
1467:
1575:
2936:
3171:
2311:
2556:
2940:
2745:
441:
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
3036:
3116:
2257:
2238:
2223:
2204:
864:
575:, Shapley "may have thought of himself as a mathematician, but he cannot avoid being remembered for his huge contributions to economics". The
550:
3191:
3186:
3111:
982:
Roth, A.E., Introduction to the
Shapley Value, in "The Shapley Value: Essays in Honor of Lloyd S. Shapley", Cambridge University Press, 1988.
460:
1470:: "Lloyd Shapley has dominated game theory for the thirty-seven years since von Neumann and Morgenstern published their path-breaking book,
3136:
3226:
3181:
3176:
2452:
1643:
695:
383:
192:
1217:
1477:
1113:
3231:
3161:
1282:
3221:
3211:
3166:
2304:
1509:
1462:
609:
Shapley argued with his sons about whether he should accept the Nobel Prize at all. He opined that his father, the astronomer
3126:
2427:
647:
487:
370:. Shapley is generally considered one of the most important contributors to the development of game theory since the work of
245:
1451:
Stable
Marriage and Its Relation to Other Combinatorial Problems: An Introduction to the Mathematical Analysis of Algorithms
3196:
838:
777:
3121:
2537:
2532:
2527:
2522:
2517:
2507:
2502:
2497:
2492:
2487:
2297:
1292:
745:
1368:
3156:
3151:
3146:
595:
17:
1500:
1608:
2359:
667:
530:
137:
2797:
2579:
1394:
1224:
952:
759:
688:
681:
660:
576:
522:
212:
145:
1029:
3044:
2757:
768:
654:
415:
1427:
2916:
1253:
1188:
Hausner, M., Nash, J. F., Shapley, L. S. & Shubik, M., (1964), "So Long Sucker, A Four-Person Game",
1092:
995:
927:
869:
790:
538:
153:
2355:
2109:
1165:
1138:
566:
149:
594:, and it was he who laid much of the groundwork for the solution of the problem of the existence of
2330:
554:
399:
78:
2481:
2173:
590:
was so complete that little has been added since. He has been instrumental in the development of
542:
411:
3096:
3068:
2948:
2813:
2402:
2383:
363:
170:
28:
2896:
3106:
3101:
2617:
2093:
1910:
1390:
1142:
1041:
633:
438:
355:
254:
118:
8:
2900:
2876:
2121:
1568:
1520:
640:
407:
2892:
1493:
1228:
1204:
Hagerty, James, Lloyd
Shapley: 1923â2016, Wall Street Journal, March 19â20, 2016, p. A7.
1045:
3072:
3032:
2984:
2836:
2037:
1719:
1067:
701:
606:
on non-atomic games and on long-term competition have all appeared in economic theory.
502:
446:
207:
161:
109:
2177:
1314:
Hagerty, James, Lloyd
Shapley: 1923â2016, Wall Street Journal, March 19â20, 2016, p.A7
3052:
3020:
2864:
2789:
2741:
2669:
2665:
2416:
2379:
2149:
2145:
2117:
2105:
1870:
1830:
1822:
1723:
1600:
1596:
1564:
1335:
1288:
1059:
1003:
626:
614:
423:
375:
202:
3000:
2996:
2956:
2832:
2717:
2645:
2621:
2338:
2269:
2231:
2208:
2193:
2049:
1942:
1922:
1770:
1762:
1699:
1514:
1481:
1071:
1049:
919:
905:
852:
730:
599:
518:
464:
434:
430:
371:
324:
284:
279:
250:
141:
1806:
3024:
3008:
2968:
2960:
2753:
2725:
2661:
2629:
2609:
2601:
2441:
2265:
2033:
2021:
2013:
2009:
2001:
1974:
1934:
1914:
1862:
1854:
1774:
1742:
1711:
1638:
1504:
534:
491:
97:
2548:
613:, deserved it more. His sons persuaded him to accept it and accompanied him to
3060:
2976:
2924:
2805:
2641:
2593:
2392:
2277:
2246:
2216:
2185:
2065:
1997:
1993:
1962:
1930:
1898:
1846:
1798:
1782:
1671:
1592:
1524:
1254:"Matchmaker in heaven â Lloyd Shapley, a Nobel laureate in economics, has died"
857:
739:
A Method for
Evaluating the Distribution of Power in a Committee System (with
610:
591:
579:
noted that
Shapley was "one of the giants of game theory and economic theory".
546:
455:
419:
403:
157:
1530:
1453:, Donald E. Knuth, American Mathematical Society, 1997 (English Translation.)
267:
3090:
3012:
2884:
2765:
2709:
2701:
2677:
2460:
2410:
2344:
2289:
2129:
2101:
2089:
2073:
2057:
2045:
2025:
1970:
1946:
1906:
1866:
1814:
1707:
1691:
1679:
1663:
1659:
1584:
1414:
1258:
1007:
846:
833:
826:
812:
785:
740:
603:
583:
571:
558:
514:
472:
468:
442:
387:
379:
351:
133:
27:
For Lloyd
Stowell Shapley's grand-uncle, the United States navy captain, see
3142:
Fellows of the
Institute for Operations Research and the Management Sciences
948:
734:
2856:
2773:
2733:
2693:
2685:
2261:
2250:
2227:
2212:
2165:
2081:
1894:
1878:
1838:
1750:
1063:
526:
414:
and was a student at
Harvard when he was drafted in 1943. He served in the
166:
1488:
2435:
2321:
2157:
2141:
2069:
1954:
1886:
1790:
1754:
587:
450:
367:
230:
50:
2844:
2781:
2637:
2242:
2197:
1687:
1534:
753:
495:
478:
1517:
from the Institute for Operations Research and the Management Sciences
359:
234:
1054:
299:
198:
2928:
475:
considered Shapley to be "the greatest game theorist of all time."
429:
After the war, Shapley returned to Harvard and graduated with an
876:
On Authority Distributions in Organizations (with Xingwei Hu),
602:
and B. Peleg on the kernel and the nucleolus, and his work with
2368:
899:
261:
1546:
1365:
Institute for Operations Research and the Management Sciences
675:
Institute for Operations Research and the Management Sciences
113:
1339:
766:
Simple Games : An Outline of the Descriptive Theory ,
342:
3207:
Distinguished fellows of the American Economic Association
1468:
Citation of von Neumann Theory Prize on L.S.Shapley's work
832:
Mathematical Properties of the Banzhaf Power Index (with
486:
From 1981 until his death, Shapley was a professor at the
433:
in mathematics in 1948. After working for one year at the
386:"for the theory of stable allocations and the practice of
330:
3132:
Members of the United States National Academy of Sciences
845:
Long-Term Competition â A Game-Theoretic Analysis (with
333:
122:
996:"Lloyd Shapley, a Nobel laureate in economics, has died"
752:
College Admissions and the Stability of Marriage (with
3217:
United States Army Air Forces personnel of World War II
1200:
1198:
1190:
Game Theory and Related Approaches to Social Behavior
1415:
List of Fellows of the American Mathematical Society
895:
339:
336:
1195:
327:
2578:
1576:Laureate of the Nobel Memorial Prize in Economics
426:decoration for breaking the Soviet weather code.
350:; June 2, 1923 â March 12, 2016) was an American
3088:
944:
942:
2319:
1330:
1328:
1326:
1324:
1322:
1320:
1284:Economic Thinkers: A Biographical Encyclopedia
722:volume II, H. W. Kuhn and A. W. Tucker (eds.).
2564:
2305:
1624:
1478:Albert Tucker's comment on L.S.Shapley's work
797:Utility Comparison and the Theory of Games ,
3202:Fellows of the American Mathematical Society
1644:Sveriges Riksbank Prize in Economic Sciences
1163:
1139:"Princeton alumnus Shapley wins Nobel Prize"
939:
883:Multiperson Utility (with Manel Baucells).
582:Besides, his early work with R. N. Snow and
1317:
398:Lloyd Shapley was born on June 2, 1923, in
2571:
2557:
2312:
2298:
1631:
1617:
1492:
727:Proceedings of National Academy of Science
49:
3172:21st-century American non-fiction writers
1472:The Theory of Games and Economic Behavior
1166:"Additive and non-additive set functions"
1053:
696:Nobel Memorial Prize in Economic Sciences
384:Nobel Memorial Prize in Economic Sciences
193:Nobel Memorial Prize in Economic Sciences
1280:
1192:, John Wiley & Sons, Inc., New York.
708:
477:
1133:
1131:
811:The Assignment Game I: The Core (with
471:. Israeli economist and Nobel Laureate
268:Additive and non-additive set functions
14:
3089:
1212:
1210:
1157:
3117:John von Neumann Theory Prize winners
2552:
2293:
1612:
1281:Diertele, David A. (August 8, 2013).
1108:
1106:
648:American Academy of Arts and Sciences
488:University of California, Los Angeles
246:University of California, Los Angeles
3192:21st-century American mathematicians
3187:20th-century American mathematicians
3112:People from Cambridge, Massachusetts
1246:
1128:
1027:
990:
988:
963:
817:International Journal of Game Theory
806:International Journal of Game Theory
720:Contributions to the Theory of Games
620:
1207:
880:Vol. 45, pp. 132â152, 153â170.
851:Essays in Game Theory: In Honor of
596:Von NeumannâMorgenstern stable sets
567:ShapleyâFolkman lemma & theorem
184:Marian Louise Shapley (since 1955)
150:ShapleyâFolkman lemma & theorem
24:
3137:Fellows of the Econometric Society
1445:
1103:
839:Mathematics of Operations Research
778:Naval Research Logistics Quarterly
505:player, and an avid baseball fan.
410:, both from Missouri. He attended
393:
362:. He contributed to the fields of
34:American mathematician (1923â2016)
25:
3243:
3227:American people of German descent
1456:
1361:"INFORMS â Fellows Class of 2002"
985:
746:American Political Science Review
402:, one of the sons of astronomers
3182:21st-century American economists
3177:20th-century American economists
912:
898:
323:
197:
1720:Leonid Vitaliyevich Kantorovich
1420:
1408:
1383:
1353:
1308:
1274:
1182:
508:
482:Lloyd Shapley in Stockholm 2012
3232:Phillips Exeter Academy alumni
3162:American probability theorists
1336:"Lloyd Stowell Shapley â Vita"
1114:"Lloyd S. Shapley â Interview"
1085:
1021:
976:
966:"Spouse - source from NYTimes"
957:
829:), Princeton University Press.
668:Hebrew University of Jerusalem
13:
1:
3222:American expatriates in China
3212:Economists from Massachusetts
3167:20th-century American writers
2580:John von Neumann Theory Prize
1515:Biography of Lloyd S. Shapley
1501:Robert Aumann's Nobel lecture
1395:American Economic Association
1225:American Economic Association
1030:"Lloyd S. Shapley 1923â 2016"
953:Mathematics Genealogy Project
933:
775:On Balanced Sets and Cores ,
760:American Mathematical Monthly
729:Vol. 39, pp. 1095â1100.
689:American Mathematical Society
682:American Economic Association
661:John von Neumann Theory Prize
577:American Economic Association
213:John von Neumann Theory Prize
3127:Nobel laureates in Economics
655:National Academy of Sciences
569:bear his name. According to
537:or block voting power), the
416:United States Army Air Corps
7:
1497:including the Nobel Lecture
1028:Roth, Al (March 12, 2016).
928:Matching theory (economics)
891:
885:Games and Economic Behavior
878:Games and Economic Behavior
870:Games and Economic Behavior
629:, U.S. Army Air Corps, 1944
529:have non-empty cores), the
10:
3248:
1712:Friedrich August von Hayek
1417:, retrieved July 18, 2013.
964:Jain, C (March 15, 2016).
887:Vol. 62, pp. 329â347.
873:Vol. 14, pp. 124â143.
823:Values of Non-Atomic Games
791:Journal of Economic Theory
781:Vol. 14, pp. 453â460.
749:Vol. 48, pp. 787â792.
565:for matrix games, and the
531:ShapleyâShubik power index
138:ShapleyâShubik power index
26:
3197:Harvard University alumni
2825:
2586:
2476:
2451:
2426:
2401:
2378:
2354:
2329:
2110:Christopher A. Pissarides
1984:
1733:
1650:
1589:
1573:
1561:
1556:
1287:. Abc-Clio. p. 385.
819:Vol. 1, pp. 111â130.
523:BondarevaâShapley theorem
494:, after suffering from a
294:
290:
278:
260:
240:
226:
219:
188:
180:
146:BondarevaâShapley theorem
129:
105:
86:
60:
48:
41:
3122:American Nobel laureates
1523:publications indexed by
1430:. The Golden Goose Award
842:Vol. 4, pp. 99â132.
400:Cambridge, Massachusetts
164:, kernel, and nucleolus
79:Cambridge, Massachusetts
3157:RAND Corporation people
3152:Mathematical economists
3147:American game theorists
1391:"Distinguished Fellows"
863:Potential Games (with
860:(ed.), Springer-Verlag.
808:Vol. 1, pp. 11â26.
804:Cores of Convex Games
784:On Market Games (with
772:Vol. 7, pp. 59â66.
763:Vol. 69, pp. 9â15.
735:10.1073/pnas.39.10.1095
561:âShapley solution, the
543:stable marriage problem
412:Phillips Exeter Academy
382:, Shapley won the 2012
3069:Christos Papadimitriou
2909:Arthur F. Veinott, Jr.
2814:R. Tyrrell Rockafellar
2482:Nobel Prize recipients
2428:Physiology or Medicine
794:Vol. 1, pp. 9â25.
680:Distinguished Fellow,
539:GaleâShapley algorithm
501:Shapley was an expert
483:
364:mathematical economics
171:authority distribution
154:GaleâShapley algorithm
2989:Jean Bernard Lasserre
1831:James M. Buchanan Jr.
1164:L.S. Shapley (1953).
1093:"MARTHA BETZ SHAPLEY"
709:Selected publications
481:
319:Lloyd Stowell Shapley
65:Lloyd Stowell Shapley
29:Lloyd Stowell Shapley
2094:Oliver E. Williamson
1724:Tjalling C. Koopmans
1143:Princeton University
634:Princeton University
563:SnowâShapley theorem
525:(which implies that
498:, at the age of 92.
439:Princeton University
356:Nobel Memorial Prize
255:Princeton University
174:multi-person utility
119:Princeton University
2901:Alexander Schrijver
2877:J. Michael Harrison
2122:Christopher A. Sims
2050:Thomas C. Schelling
2022:Robert F. Engle III
1923:Robert E. Lucas Jr.
1771:Theodore W. Schultz
1569:Christopher A. Sims
1099:. January 27, 1981.
1046:2016Natur.532..178R
801:, pp. 251â263.
725:Stochastic Games ,
718:-person Games , In
641:Econometric Society
545:, the concept of a
408:Martha Betz Shapley
3073:Mihalis Yannakakis
3033:Dimitris Bertsimas
2853:Donald L. Iglehart
2837:Manfred W. Padberg
2038:Edward C. Prescott
2026:Clive W.J. Granger
2002:Joseph E. Stiglitz
1975:Daniel L. McFadden
1863:Harry M. Markowitz
1582:Served alongside:
1531:"Lloyd S. Shapley"
1510:UCLA â In Memoriam
1491:on Nobelprize.org
1145:. October 15, 2012
1097:The New York Times
970:The New York Times
769:Behavioral Science
702:Golden Goose Award
694:Sveriges Riksbank
484:
208:Golden Goose Award
110:Harvard University
3084:
3083:
3077:
3065:
3057:
3053:Alexander Shapiro
3049:
3041:
3029:
3021:Dimitri Bertsekas
3017:
3005:
2993:
2981:
2973:
2965:
2953:
2949:Gérard Cornuéjols
2945:
2933:
2921:
2913:
2905:
2889:
2881:
2873:
2865:Arkadi Nemirovski
2861:
2849:
2841:
2818:
2810:
2802:
2794:
2790:Peter C. Fishburn
2786:
2778:
2770:
2762:
2750:
2742:Richard E. Barlow
2738:
2730:
2722:
2714:
2706:
2698:
2690:
2682:
2674:
2670:Richard J. Duffin
2666:William W. Cooper
2658:
2650:
2634:
2626:
2614:
2606:
2598:
2546:
2545:
2453:Economic Sciences
2417:David J. Wineland
2287:
2286:
2186:Richard H. Thaler
2150:Robert J. Shiller
2146:Lars Peter Hansen
2118:Thomas J. Sargent
2106:Dale T. Mortensen
1998:A. Michael Spence
1994:George A. Akerlof
1963:Robert A. Mundell
1931:James A. Mirrlees
1899:Douglass C. North
1871:William F. Sharpe
1823:Franco Modigliani
1799:George J. Stigler
1783:Lawrence R. Klein
1672:Paul A. Samuelson
1607:
1606:
1601:Robert J. Shiller
1597:Lars Peter Hansen
1590:Succeeded by
1565:Thomas J. Sargent
1463:The Shapley Value
1371:on March 14, 2016
1234:on March 16, 2016
673:Fellow, INFORMS (
621:Awards and honors
422:and received the
316:
315:
221:Scientific career
203:Bronze Star Medal
16:(Redirected from
3239:
3075:
3063:
3055:
3047:
3039:
3027:
3015:
3003:
3001:Ruth J. Williams
2997:Martin I. Reiman
2991:
2979:
2971:
2963:
2957:George Nemhauser
2951:
2943:
2931:
2919:
2911:
2903:
2893:Martin Grötschel
2887:
2879:
2871:
2859:
2847:
2839:
2833:Ellis L. Johnson
2816:
2808:
2800:
2792:
2784:
2776:
2768:
2760:
2748:
2736:
2728:
2720:
2718:Herbert A. Simon
2712:
2704:
2696:
2688:
2680:
2672:
2656:
2648:
2646:Albert W. Tucker
2632:
2624:
2622:Carlton E. Lemke
2612:
2604:
2596:
2573:
2566:
2559:
2550:
2549:
2484:
2438:(United Kingdom)
2339:Robert Lefkowitz
2314:
2307:
2300:
2291:
2290:
2280:
2272:
2270:Philip H. Dybvig
2253:
2234:
2232:Robert B. Wilson
2219:
2209:Abhijit Banerjee
2200:
2194:William Nordhaus
2188:
2180:
2168:
2160:
2152:
2136:
2134:Lloyd S. Shapley
2124:
2112:
2102:Peter A. Diamond
2096:
2084:
2076:
2074:Roger B. Myerson
2060:
2058:Edmund S. Phelps
2052:
2046:Robert J. Aumann
2040:
2028:
2016:
2004:
1977:
1971:James J. Heckman
1965:
1957:
1949:
1947:Myron S. Scholes
1943:Robert C. Merton
1937:
1925:
1917:
1911:John F. Nash Jr.
1907:John C. Harsanyi
1901:
1889:
1881:
1873:
1867:Merton H. Miller
1857:
1849:
1841:
1833:
1825:
1817:
1809:
1801:
1793:
1785:
1777:
1775:Sir Arthur Lewis
1765:
1763:Herbert A. Simon
1757:
1745:
1726:
1714:
1702:
1700:Wassily Leontief
1694:
1692:Kenneth J. Arrow
1682:
1674:
1666:
1633:
1626:
1619:
1610:
1609:
1562:Preceded by
1554:
1553:
1550:
1538:
1503:, also see here
1496:
1489:Lloyd S. Shapley
1482:Albert W. Tucker
1440:
1439:
1437:
1435:
1424:
1418:
1412:
1406:
1405:
1403:
1401:
1387:
1381:
1380:
1378:
1376:
1367:. Archived from
1357:
1351:
1350:
1348:
1346:
1332:
1315:
1312:
1306:
1305:
1303:
1301:
1278:
1272:
1271:
1269:
1267:
1262:. March 13, 2016
1250:
1244:
1243:
1241:
1239:
1233:
1227:. Archived from
1222:
1214:
1205:
1202:
1193:
1186:
1180:
1179:
1177:
1175:
1170:
1161:
1155:
1154:
1152:
1150:
1135:
1126:
1125:
1123:
1121:
1116:. Nobel Media AB
1110:
1101:
1100:
1089:
1083:
1082:
1080:
1078:
1057:
1025:
1019:
1018:
1016:
1014:
992:
983:
980:
974:
973:
961:
955:
946:
922:
920:Biography portal
917:
916:
915:
908:
906:Economics portal
903:
902:
853:Michael Maschler
666:Honorary Ph.D.,
632:Procter Fellow,
598:. His work with
519:stochastic games
465:John Forbes Nash
435:RAND Corporation
349:
348:
345:
344:
341:
338:
335:
332:
329:
312:
309:
307:
305:
303:
301:
285:Albert W. Tucker
280:Doctoral advisor
274:
251:RAND Corporation
248:
201:
176:non-atomic games
142:stochastic games
93:
74:
72:
53:
39:
38:
21:
18:Lloyd S. Shapley
3247:
3246:
3242:
3241:
3240:
3238:
3237:
3236:
3087:
3086:
3085:
3080:
3025:John Tsitsiklis
3009:Donald Goldfarb
2969:Michel Balinski
2961:Laurence Wolsey
2869:Michael J. Todd
2821:
2754:Alan J. Hoffman
2726:Harry Markowitz
2662:Abraham Charnes
2630:David Blackwell
2610:Felix Pollaczek
2602:Richard Bellman
2582:
2577:
2547:
2542:
2480:
2472:
2469:(United States)
2463:(United States)
2447:
2442:Shinya Yamanaka
2422:
2419:(United States)
2397:
2374:
2350:
2347:(United States)
2341:(United States)
2325:
2318:
2288:
2283:
2275:
2266:Douglas Diamond
2256:
2237:
2222:
2203:
2191:
2183:
2178:Bengt Holmström
2171:
2163:
2155:
2139:
2127:
2115:
2099:
2087:
2079:
2063:
2055:
2043:
2034:Finn E. Kydland
2031:
2019:
2014:Vernon L. Smith
2010:Daniel Kahneman
2007:
1991:
1980:
1968:
1960:
1952:
1940:
1935:William Vickrey
1928:
1920:
1915:Reinhard Selten
1904:
1895:Robert W. Fogel
1892:
1884:
1879:Ronald H. Coase
1876:
1860:
1855:Trygve Haavelmo
1852:
1844:
1839:Robert M. Solow
1836:
1828:
1820:
1812:
1804:
1796:
1788:
1780:
1768:
1760:
1748:
1743:Milton Friedman
1740:
1729:
1717:
1705:
1697:
1685:
1677:
1669:
1657:
1646:
1637:
1603:
1599:
1595:
1581:
1579:
1571:
1567:
1543:"Lloyd Shapley"
1541:
1529:
1459:
1448:
1446:Further reading
1443:
1433:
1431:
1428:"Market Design"
1426:
1425:
1421:
1413:
1409:
1399:
1397:
1389:
1388:
1384:
1374:
1372:
1359:
1358:
1354:
1344:
1342:
1334:
1333:
1318:
1313:
1309:
1299:
1297:
1295:
1279:
1275:
1265:
1263:
1252:
1251:
1247:
1237:
1235:
1231:
1220:
1218:"Lloyd Shapley"
1216:
1215:
1208:
1203:
1196:
1187:
1183:
1173:
1171:
1168:
1162:
1158:
1148:
1146:
1137:
1136:
1129:
1119:
1117:
1112:
1111:
1104:
1091:
1090:
1086:
1076:
1074:
1055:10.1038/532178a
1026:
1022:
1012:
1010:
994:
993:
986:
981:
977:
962:
958:
947:
940:
936:
918:
913:
911:
904:
897:
894:
711:
623:
513:Along with the
511:
492:Tucson, Arizona
396:
394:Life and career
366:and especially
326:
322:
298:
272:
253:
249:
244:
211:
206:
196:
175:
173:
169:
165:
160:
156:
152:
148:
144:
140:
136:
117:
106:Alma mater
101:
98:Tucson, Arizona
95:
91:
82:
76:
70:
68:
67:
66:
56:
55:Shapley in 1980
44:
35:
32:
23:
22:
15:
12:
11:
5:
3245:
3235:
3234:
3229:
3224:
3219:
3214:
3209:
3204:
3199:
3194:
3189:
3184:
3179:
3174:
3169:
3164:
3159:
3154:
3149:
3144:
3139:
3134:
3129:
3124:
3119:
3114:
3109:
3104:
3099:
3082:
3081:
3079:
3078:
3066:
3061:Vijay Vazirani
3058:
3050:
3042:
3030:
3018:
3006:
2994:
2982:
2977:Nimrod Megiddo
2974:
2966:
2954:
2946:
2941:Peter W. Glynn
2937:SĂžren Asmussen
2934:
2925:Yurii Nesterov
2922:
2914:
2906:
2890:
2882:
2874:
2862:
2850:
2842:
2829:
2827:
2823:
2822:
2820:
2819:
2811:
2806:Fred W. Glover
2803:
2795:
2787:
2779:
2771:
2763:
2751:
2746:Frank Proschan
2739:
2731:
2723:
2715:
2707:
2699:
2691:
2683:
2675:
2659:
2651:
2642:Harold W. Kuhn
2635:
2627:
2615:
2607:
2599:
2594:George Dantzig
2590:
2588:
2584:
2583:
2576:
2575:
2568:
2561:
2553:
2544:
2543:
2541:
2540:
2535:
2530:
2525:
2520:
2515:
2510:
2505:
2500:
2495:
2490:
2485:
2477:
2474:
2473:
2471:
2470:
2464:
2457:
2455:
2449:
2448:
2446:
2445:
2439:
2432:
2430:
2424:
2423:
2421:
2420:
2414:
2407:
2405:
2399:
2398:
2396:
2395:
2393:European Union
2389:
2387:
2376:
2375:
2373:
2372:
2365:
2363:
2352:
2351:
2349:
2348:
2342:
2335:
2333:
2327:
2326:
2317:
2316:
2309:
2302:
2294:
2285:
2284:
2282:
2281:
2278:Claudia Goldin
2273:
2254:
2247:Joshua Angrist
2235:
2220:
2217:Michael Kremer
2201:
2189:
2181:
2169:
2161:
2153:
2142:Eugene F. Fama
2137:
2125:
2113:
2097:
2085:
2077:
2070:Eric S. Maskin
2066:Leonid Hurwicz
2061:
2053:
2041:
2029:
2017:
2005:
1988:
1986:
1982:
1981:
1979:
1978:
1966:
1958:
1950:
1938:
1926:
1918:
1902:
1890:
1887:Gary S. Becker
1882:
1874:
1858:
1850:
1847:Maurice Allais
1842:
1834:
1826:
1818:
1810:
1802:
1794:
1786:
1778:
1766:
1758:
1755:James E. Meade
1746:
1737:
1735:
1731:
1730:
1728:
1727:
1715:
1703:
1695:
1683:
1675:
1667:
1654:
1652:
1648:
1647:
1636:
1635:
1628:
1621:
1613:
1605:
1604:
1593:Eugene F. Fama
1591:
1588:
1572:
1563:
1559:
1558:
1552:
1551:
1539:
1527:
1525:Google Scholar
1518:
1512:
1507:
1498:
1486:
1475:
1465:
1458:
1457:External links
1455:
1447:
1444:
1442:
1441:
1419:
1407:
1382:
1352:
1316:
1307:
1293:
1273:
1245:
1206:
1194:
1181:
1156:
1127:
1102:
1084:
1020:
984:
975:
956:
937:
935:
932:
931:
930:
924:
923:
909:
893:
890:
889:
888:
881:
874:
861:
858:Nimrod Megiddo
843:
830:
820:
809:
802:
795:
782:
773:
764:
750:
737:
723:
710:
707:
706:
705:
699:
692:
685:
678:
671:
664:
658:
651:
644:
637:
630:
622:
619:
611:Harlow Shapley
592:utility theory
555:AumannâShapley
547:potential game
510:
507:
456:So Long Sucker
420:Chengdu, China
404:Harlow Shapley
395:
392:
314:
313:
296:
292:
291:
288:
287:
282:
276:
275:
264:
258:
257:
242:
238:
237:
228:
224:
223:
217:
216:
190:
186:
185:
182:
178:
177:
158:potential game
131:
130:Known for
127:
126:
107:
103:
102:
96:
94:(aged 92)
90:March 12, 2016
88:
84:
83:
77:
64:
62:
58:
57:
54:
46:
45:
42:
33:
9:
6:
4:
3:
2:
3244:
3233:
3230:
3228:
3225:
3223:
3220:
3218:
3215:
3213:
3210:
3208:
3205:
3203:
3200:
3198:
3195:
3193:
3190:
3188:
3185:
3183:
3180:
3178:
3175:
3173:
3170:
3168:
3165:
3163:
3160:
3158:
3155:
3153:
3150:
3148:
3145:
3143:
3140:
3138:
3135:
3133:
3130:
3128:
3125:
3123:
3120:
3118:
3115:
3113:
3110:
3108:
3105:
3103:
3100:
3098:
3097:Lloyd Shapley
3095:
3094:
3092:
3074:
3070:
3067:
3062:
3059:
3054:
3051:
3046:
3043:
3038:
3037:Jong-Shi Pang
3034:
3031:
3026:
3022:
3019:
3014:
3013:Jorge Nocedal
3010:
3007:
3002:
2998:
2995:
2990:
2986:
2985:VaĆĄek ChvĂĄtal
2983:
2978:
2975:
2970:
2967:
2962:
2958:
2955:
2950:
2947:
2942:
2938:
2935:
2930:
2926:
2923:
2918:
2915:
2910:
2907:
2902:
2898:
2897:LĂĄszlĂł LovĂĄsz
2894:
2891:
2886:
2885:Robert Aumann
2883:
2878:
2875:
2870:
2866:
2863:
2858:
2854:
2851:
2846:
2843:
2838:
2834:
2831:
2830:
2828:
2824:
2815:
2812:
2807:
2804:
2799:
2798:Peter Whittle
2796:
2791:
2788:
2783:
2780:
2775:
2772:
2767:
2766:Robert Herman
2764:
2759:
2755:
2752:
2747:
2743:
2740:
2735:
2732:
2727:
2724:
2719:
2716:
2711:
2710:Samuel Karlin
2708:
2703:
2702:Kenneth Arrow
2700:
2695:
2692:
2687:
2684:
2679:
2678:Herbert Scarf
2676:
2671:
2667:
2663:
2660:
2655:
2654:Lloyd Shapley
2652:
2647:
2643:
2639:
2636:
2631:
2628:
2623:
2619:
2616:
2611:
2608:
2603:
2600:
2595:
2592:
2591:
2589:
2585:
2581:
2574:
2569:
2567:
2562:
2560:
2555:
2554:
2551:
2539:
2536:
2534:
2531:
2529:
2526:
2524:
2521:
2519:
2516:
2514:
2511:
2509:
2506:
2504:
2501:
2499:
2496:
2494:
2491:
2489:
2486:
2483:
2479:
2478:
2475:
2468:
2467:Lloyd Shapley
2465:
2462:
2461:Alvin E. Roth
2459:
2458:
2456:
2454:
2450:
2443:
2440:
2437:
2434:
2433:
2431:
2429:
2425:
2418:
2415:
2412:
2411:Serge Haroche
2409:
2408:
2406:
2404:
2400:
2394:
2391:
2390:
2388:
2385:
2381:
2377:
2370:
2367:
2366:
2364:
2361:
2357:
2353:
2346:
2345:Brian Kobilka
2343:
2340:
2337:
2336:
2334:
2332:
2328:
2323:
2315:
2310:
2308:
2303:
2301:
2296:
2295:
2292:
2279:
2274:
2271:
2267:
2263:
2259:
2255:
2252:
2248:
2244:
2240:
2236:
2233:
2229:
2225:
2221:
2218:
2214:
2210:
2206:
2202:
2199:
2195:
2190:
2187:
2182:
2179:
2175:
2170:
2167:
2162:
2159:
2154:
2151:
2147:
2143:
2138:
2135:
2131:
2130:Alvin E. Roth
2126:
2123:
2119:
2114:
2111:
2107:
2103:
2098:
2095:
2091:
2090:Elinor Ostrom
2086:
2083:
2078:
2075:
2071:
2067:
2062:
2059:
2054:
2051:
2047:
2042:
2039:
2035:
2030:
2027:
2023:
2018:
2015:
2011:
2006:
2003:
1999:
1995:
1990:
1989:
1987:
1983:
1976:
1972:
1967:
1964:
1959:
1956:
1951:
1948:
1944:
1939:
1936:
1932:
1927:
1924:
1919:
1916:
1912:
1908:
1903:
1900:
1896:
1891:
1888:
1883:
1880:
1875:
1872:
1868:
1864:
1859:
1856:
1851:
1848:
1843:
1840:
1835:
1832:
1827:
1824:
1819:
1816:
1815:Richard Stone
1811:
1808:
1807:GĂ©rard Debreu
1803:
1800:
1795:
1792:
1787:
1784:
1779:
1776:
1772:
1767:
1764:
1759:
1756:
1752:
1747:
1744:
1739:
1738:
1736:
1732:
1725:
1721:
1716:
1713:
1709:
1708:Gunnar Myrdal
1704:
1701:
1696:
1693:
1689:
1688:John R. Hicks
1684:
1681:
1680:Simon Kuznets
1676:
1673:
1668:
1665:
1664:Jan Tinbergen
1661:
1660:Ragnar Frisch
1656:
1655:
1653:
1649:
1645:
1641:
1634:
1629:
1627:
1622:
1620:
1615:
1614:
1611:
1602:
1598:
1594:
1587:
1586:
1585:Alvin E. Roth
1578:
1577:
1570:
1566:
1560:
1555:
1548:
1544:
1540:
1536:
1532:
1528:
1526:
1522:
1521:Lloyd Shapley
1519:
1516:
1513:
1511:
1508:
1505:
1502:
1499:
1495:
1490:
1487:
1483:
1479:
1476:
1473:
1469:
1466:
1464:
1461:
1460:
1454:
1452:
1429:
1423:
1416:
1411:
1396:
1392:
1386:
1370:
1366:
1362:
1356:
1341:
1337:
1331:
1329:
1327:
1325:
1323:
1321:
1311:
1296:
1294:9780313397479
1290:
1286:
1285:
1277:
1261:
1260:
1259:The Economist
1255:
1249:
1230:
1226:
1219:
1213:
1211:
1201:
1199:
1191:
1185:
1167:
1160:
1144:
1140:
1134:
1132:
1115:
1109:
1107:
1098:
1094:
1088:
1073:
1069:
1065:
1061:
1056:
1051:
1047:
1043:
1040:(7598): 178.
1039:
1035:
1031:
1024:
1009:
1005:
1001:
1000:The Economist
997:
991:
989:
979:
971:
967:
960:
954:
950:
949:Lloyd Shapley
945:
943:
938:
929:
926:
925:
921:
910:
907:
901:
896:
886:
882:
879:
875:
872:
871:
866:
862:
859:
855:
854:
848:
847:Robert Aumann
844:
841:
840:
835:
834:Pradeep Dubey
831:
828:
827:Robert Aumann
824:
821:
818:
814:
813:Martin Shubik
810:
807:
803:
800:
796:
793:
792:
787:
786:Martin Shubik
783:
780:
779:
774:
771:
770:
765:
762:
761:
755:
751:
748:
747:
742:
741:Martin Shubik
738:
736:
732:
728:
724:
721:
717:
713:
712:
703:
700:
697:
693:
690:
686:
683:
679:
676:
672:
669:
665:
662:
659:
656:
652:
649:
645:
642:
638:
635:
631:
628:
625:
624:
618:
616:
612:
607:
605:
604:Robert Aumann
601:
597:
593:
589:
585:
584:Samuel Karlin
580:
578:
574:
573:
572:The Economist
568:
564:
560:
557:pricing, the
556:
552:
548:
544:
540:
536:
532:
528:
524:
520:
516:
515:Shapley value
506:
504:
499:
497:
493:
489:
480:
476:
474:
473:Robert Aumann
470:
469:Martin Shubik
466:
462:
459:, along with
458:
457:
452:
448:
444:
443:Shapley value
440:
437:, he went to
436:
432:
427:
425:
421:
417:
413:
409:
405:
401:
391:
389:
388:market design
385:
381:
380:Alvin E. Roth
377:
373:
369:
365:
361:
357:
353:
352:mathematician
347:
320:
311:
297:
293:
289:
286:
283:
281:
277:
270:
269:
265:
263:
259:
256:
252:
247:
243:
239:
236:
232:
229:
225:
222:
218:
214:
209:
204:
200:
194:
191:
187:
183:
179:
172:
168:
163:
159:
155:
151:
147:
143:
139:
135:
134:Shapley value
132:
128:
124:
120:
115:
111:
108:
104:
99:
89:
85:
80:
63:
59:
52:
47:
43:Lloyd Shapley
40:
37:
30:
19:
3045:Adrian Lewis
2857:Cyrus Derman
2826:2000âpresent
2774:Lajos Takacs
2758:Philip Wolfe
2734:Richard Karp
2694:Jack Edmonds
2686:Ralph Gomory
2653:
2618:John F. Nash
2512:
2466:
2262:Ben Bernanke
2251:Guido Imbens
2228:Paul Milgrom
2213:Esther Duflo
2166:Angus Deaton
2133:
2082:Paul Krugman
1985:2001âpresent
1751:Bertil Ohlin
1583:
1580:2012
1574:
1471:
1450:
1449:
1432:. Retrieved
1422:
1410:
1398:. Retrieved
1385:
1373:. Retrieved
1369:the original
1355:
1343:. Retrieved
1310:
1298:. Retrieved
1283:
1276:
1264:. Retrieved
1257:
1248:
1236:. Retrieved
1229:the original
1189:
1184:
1172:. Retrieved
1159:
1147:. Retrieved
1118:. Retrieved
1096:
1087:
1075:. Retrieved
1037:
1033:
1023:
1011:. Retrieved
999:
978:
969:
959:
884:
877:
868:
865:Dov Monderer
850:
837:
822:
816:
805:
798:
789:
776:
767:
757:
744:
726:
719:
715:
714:A Value for
608:
588:matrix games
581:
570:
551:Dov Monderer
527:convex games
512:
509:Contribution
500:
485:
454:
449:solution in
428:
397:
318:
317:
266:
241:Institutions
220:
167:market games
92:(2016-03-12)
75:June 2, 1923
36:
3107:2016 deaths
3102:1923 births
2917:Frank Kelly
2436:John Gurdon
2322:Nobel Prize
2174:Oliver Hart
2158:Jean Tirole
1955:Amartya Sen
1791:James Tobin
1480:. In 1995,
799:La Decision
627:Bronze Star
600:M. Maschler
461:Mel Hausner
451:game theory
424:Bronze Star
376:Morgenstern
372:von Neumann
368:game theory
231:Mathematics
3091:Categories
2845:Ward Whitt
2782:Egon Balas
2638:David Gale
2356:Literature
2243:David Card
2198:Paul Romer
1535:EconPapers
934:References
754:David Gale
503:Kriegspiel
496:broken hip
71:1923-06-02
2587:1975â1999
2331:Chemistry
2324:laureates
1734:1976â2000
1651:1969â1975
1640:Laureates
1400:March 13,
1375:March 13,
1345:March 13,
1300:March 13,
1266:March 13,
1238:March 13,
1149:March 13,
1120:March 13,
1077:March 13,
1013:March 13,
1008:0013-0613
636:, 1951â52
615:Stockholm
360:economist
358:-winning
235:economics
2929:Yinyu Ye
2413:(France)
1064:27075091
892:See also
687:Fellow,
653:Member,
646:Fellow,
639:Fellow,
559:Harsanyi
541:for the
535:weighted
445:and the
308:/shapley
2444:(Japan)
2403:Physics
2371:(China)
1642:of the
1557:Awards
1434:May 27,
1174:May 13,
1072:4469185
1042:Bibcode
951:at the
677:), 2002
553:), the
378:. With
295:Website
3076:(2023)
3064:(2022)
3056:(2021)
3048:(2020)
3040:(2019)
3028:(2018)
3016:(2017)
3004:(2016)
2992:(2015)
2980:(2014)
2972:(2013)
2964:(2012)
2952:(2011)
2944:(2010)
2932:(2009)
2920:(2008)
2912:(2007)
2904:(2006)
2888:(2005)
2880:(2004)
2872:(2003)
2860:(2002)
2848:(2001)
2840:(2000)
2817:(1999)
2809:(1998)
2801:(1997)
2793:(1996)
2785:(1995)
2777:(1994)
2769:(1993)
2761:(1992)
2749:(1991)
2737:(1990)
2729:(1989)
2721:(1988)
2713:(1987)
2705:(1986)
2697:(1985)
2689:(1984)
2681:(1983)
2673:(1982)
2657:(1981)
2649:(1980)
2633:(1979)
2625:(1978)
2613:(1977)
2605:(1976)
2597:(1975)
2369:Mo Yan
2276:2023:
2192:2018:
2184:2017:
2172:2016:
2164:2015:
2156:2014:
2140:2013:
2128:2012:
2116:2011:
2100:2010:
2088:2009:
2080:2008:
2064:2007:
2056:2006:
2044:2005:
2032:2004:
2020:2003:
2008:2002:
1992:2001:
1969:2000:
1961:1999:
1953:1998:
1941:1997:
1929:1996:
1921:1995:
1905:1994:
1893:1993:
1885:1992:
1877:1991:
1861:1990:
1853:1989:
1845:1988:
1837:1987:
1829:1986:
1821:1985:
1813:1984:
1805:1983:
1797:1982:
1789:1981:
1781:1980:
1769:1979:
1761:1978:
1749:1977:
1741:1976:
1718:1975:
1706:1974:
1698:1973:
1686:1972:
1678:1971:
1670:1970:
1658:1969:
1291:
1070:
1062:
1034:Nature
1006:
849:), in
825:(with
704:, 2013
698:, 2012
691:, 2012
684:, 2007
670:, 1986
663:, 1981
657:, 1978
650:, 1974
643:, 1967
549:(with
521:, the
467:, and
273:(1953)
271:
262:Thesis
227:Fields
215:(1981)
210:(2013)
205:(1944)
195:(2012)
189:Awards
181:Spouse
100:, U.S.
81:, U.S.
2513:2012
2380:Peace
2320:2012
1547:JSTOR
1232:(PDF)
1221:(PDF)
1169:(PDF)
1068:S2CID
533:(for
304:.ucla
302:.econ
2538:2017
2533:2016
2528:2015
2523:2014
2518:2013
2508:2011
2503:2010
2498:2009
2493:2008
2488:2007
2384:2012
2360:2012
2258:2022
2239:2021
2224:2020
2205:2019
1436:2015
1402:2016
1377:2016
1347:2016
1340:UCLA
1302:2016
1289:ISBN
1268:2016
1240:2016
1176:2021
1151:2016
1122:2016
1079:2016
1060:PMID
1015:2016
1004:ISSN
758:The
447:core
431:A.B.
406:and
374:and
354:and
306:.edu
162:core
87:Died
61:Born
1485:NJ.
1050:doi
1038:532
867:),
836:),
815:),
788:),
756:),
743:),
731:doi
586:on
418:in
390:."
300:www
123:PhD
3093::
3071:/
3035:/
3023:/
3011:/
2999:/
2987:/
2959:/
2939:/
2927:/
2899:/
2895:/
2867:/
2855:/
2835:/
2756:/
2744:/
2668:/
2664:/
2644:/
2640:/
2620:/
2268:/
2264:/
2260::
2249:/
2245:/
2241::
2230:/
2226::
2215:/
2211:/
2207::
2196:/
2176:/
2148:/
2144:/
2132:/
2120:/
2108:/
2104:/
2092:/
2072:/
2068:/
2048:/
2036:/
2024:/
2012:/
2000:/
1996:/
1973:/
1945:/
1933:/
1913:/
1909:/
1897:/
1869:/
1865:/
1773:/
1753:/
1722:/
1710:/
1690:/
1662:/
1545:.
1533:.
1474:."
1393:.
1363:.
1338:.
1319:^
1256:.
1223:.
1209:^
1197:^
1141:.
1130:^
1105:^
1095:.
1066:.
1058:.
1048:.
1036:.
1032:.
1002:.
998:.
987:^
968:.
941:^
856:,
617:.
517:,
463:,
233:,
114:BA
2572:e
2565:t
2558:v
2386:)
2382:(
2362:)
2358:(
2313:e
2306:t
2299:v
1632:e
1625:t
1618:v
1549:.
1537:.
1506:.
1438:.
1404:.
1379:.
1349:.
1304:.
1270:.
1242:.
1178:.
1153:.
1124:.
1081:.
1052::
1044::
1017:.
972:.
733::
716:n
346:/
343:i
340:l
337:p
334:ĂŠ
331:Ê
328:Ë
325:/
321:(
310:/
125:)
121:(
116:)
112:(
73:)
69:(
31:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
.jpg)
