Knowledge (XXG)

David Gale

Source đź“ť

144: 36: 1530: 1540: 1460: 929: 805: 608: 922: 526:
is currently being applied in New York and Boston public school systems in assigning students to schools. In 2012 The Nobel Prize in Economics was awarded to Shapley for this work.
1470: 915: 1500: 1495: 1490: 770: 1525: 597: 542:
In 2004 Gale developed MathSite, a pedagogic website that uses interactive exhibits to illustrate important mathematical ideas. MathSite won the 2007
1455: 824: 369:, affiliated with the departments of mathematics, economics, and industrial engineering and operations research. He has contributed to the fields of 1545: 1520: 1475: 1535: 581: 705: 1480: 1485: 522:
provides the first formal statement and proof of a problem that has far-reaching implications in many matching markets. The resulting
405: 366: 300: 1465: 119: 1515: 724: 531: 57: 1156: 938: 896: 723:
Tracking the automatic ant. And other mathematical explorations. A collection of Mathematical Entertainments columns from
590: 255: 883: 100: 1403: 1116: 847: 72: 1275: 613: 543: 269: 53: 767: 523: 241: 799: 440: 79: 46: 1550: 492: 1307: 1267: 744: 519: 143: 86: 1347: 1427: 1172: 828: 436: 389: 370: 207: 24: 1255: 1227: 1211: 853: 68: 1510: 1505: 976: 556: 412: 397: 393: 315: 203: 187: 1299: 1295: 1104: 1395: 1259: 1251: 1235: 455: 1343: 1431: 1391: 1195: 619: 508: 477: 459: 385: 262: 225: 211: 20: 1411: 1379: 1223: 1148: 1100: 1028: 1024: 565: 1359: 1355: 1315: 1191: 1076: 1004: 980: 782: 496: 401: 338: 328: 323: 310: 305: 168: 1383: 1367: 1327: 1319: 1112: 1084: 1020: 988: 968: 960: 887: 774: 378: 229: 93: 1419: 1335: 1283: 1164: 1000: 952: 488: 448: 424: 245: 221: 1449: 1371: 1243: 1124: 1068: 1060: 1036: 1012: 763: 515: 504: 358: 164: 862: 1215: 1132: 1092: 1052: 1044: 901: 739: 500: 427:, feminist literary scholar and poet. He has three daughters and two grandsons. 907: 374: 286: 35: 1203: 1140: 880: 786: 342: 191: 768:
Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions
1531:
Fellows of the Institute for Operations Research and the Management Sciences
892: 362: 290: 781:, Special Issue in Honor of David Gale on his 85th birthday, 36: 537-569; 1541:
University of California, Berkeley College of Letters and Science faculty
1287: 677:
The Jacobian matrix and global univalence of mappings (with H. Nikaido).
466: 237: 715:
The strategy structure of two-sided matching markets (with G. Demange).
904:
from the Institute for Operations Research and the Management Sciences
663:
College admissions and the stability of marriage (with L.S. Shapley).
604: 420: 476:
Gale played a fundamental role in the development of the theory of
470: 454:
Gale and F. M. Stewart initiated the study of infinite games with
416: 233: 577:
Fellow, Center for Advanced Study in Behavioral Sciences, 1975–76
911: 29: 806:
Institute for Operations Research and the Management Sciences
632:
Infinite games with perfect information (with F.M. Stewart).
609:
Institute for Operations Research and the Management Sciences
863:"David Gale, Who Created Marriage Algorithm, Is Dead at 86" 1461:
Members of the United States National Academy of Sciences
848:
Citation of von Neumann Theory Prize on David Gale’s work
357:(December 13, 1921 â€“ March 7, 2008) was an American 670:
A note on global instability of competitive equilibrium.
439:
include an early proof of the existence of competitive
19:
This article is about the academic. For the actor, see
691:
Pure exchange equilibrium of dynamic economic models.
404:
from 1950 to 1965 and then joined the faculty at the
529:
Gale wrote a Mathematical Entertainments column for
484:
continues to be a standard reference for this area.
1184: 945: 706:
The game of Hex and the Brouwer fixed-point theorem
334: 322: 296: 282: 251: 217: 199: 176: 150: 134: 60:. Unsourced material may be challenged and removed. 684:On optimal development in a multi-sector economy. 854:"Mathematician, puzzle lover David Gale has died" 646:Neighboring vertices on a convex polyhedron, in “ 458:. This work led to fundamental contributions to 729:Springer-Verlag, New York, 1998, pp. xii + 241. 480:and linear inequalities. His classic 1960 book 923: 8: 451:, in the theory of optimal economic growth. 1471:UC Berkeley College of Engineering faculty 930: 916: 908: 616:Science Communication of Mathematics, 2007 546:for Science Communication in Mathematics. 142: 131: 654:38, 255–263, Princeton Univ. Press, 1956. 120:Learn how and when to remove this message 827:. The Golden Goose Award. Archived from 756: 648:Linear Inequalities and Related Systems 562:Fulbright Research Fellowship, 1953–54 365:. He was a professor emeritus at the 1501:John von Neumann Theory Prize winners 650:” (H.W. Kuhn and A.W. Tucker, eds.), 582:American Academy of Arts and Sciences 7: 1496:21st-century American mathematicians 1491:20th-century American mathematicians 779:International Journal of Game Theory 658:The theory of linear economic models 482:The Theory of Linear Economic Models 465:Gale is the inventor of the game of 58:adding citations to reliable sources 719:53, no. 4 (1985), pp. 873–888. 469:(also known as "Game of Gale") and 1526:Fellows of the Econometric Society 672:Naval Research Logistics Quarterly 535:from 1991 through 1997. The book 406:University of California, Berkeley 367:University of California, Berkeley 301:University of California, Berkeley 16:American mathematician (1921–2008) 14: 861:Pearce, Jeremy (March 31, 2008). 571:Fellow, Econometric Society, 1965 1456:20th-century American economists 34: 499:. The concept is important in 45:needs additional citations for 1546:American expatriates in France 725:The Mathematical Intelligencer 686:The Review of Economic Studies 660:. McGraw-Hill, New York, 1960. 652:Annals of Mathematical Studies 639:The law of supply and demand. 532:The Mathematical Intelligencer 1: 1521:General equilibrium theorists 1476:University of Michigan alumni 939:John von Neumann Theory Prize 897:Mathematics Genealogy Project 710:American Mathematical Monthly 700:American Mathematical Monthly 665:American Mathematical Monthly 591:John von Neumann Theory Prize 256:John von Neumann Theory Prize 1536:Combinatorial game theorists 636:28 (1953), pp. 245–266. 598:National Academy of Sciences 388:, obtained an M.A. from the 1481:Princeton University alumni 712:86(1979), pp. 818–827. 702:81(1974), pp. 876–879. 614:Pirelli Internetional Award 544:Pirelli Internetional Award 270:Pirelli Internetional Award 1567: 801:Fellows: Alphabetical List 693:Journal of Economic Theory 674:10 (1963), pp. 81–87. 587:Lester Ford Prize, 1979–80 537:Tracking the Automatic Ant 384:Gale earned his B.A. from 18: 1486:Swarthmore College alumni 787:10.1007/s00182-008-0117-6 698:A curious nim-type game. 695:6 (1973), pp. 12–26. 688:34 (1967), pp. 1–18. 681:2 (1965), pp. 81–93. 667:69 (1962), pp. 9–15. 643:3 (1955), pp. 33–44. 574:Miller Professor, 1971–72 348: 275: 141: 1466:Brown University faculty 641:Mathematica Scandinavica 539:collects these columns. 435:Gale's contributions to 392:in 1947, and earned his 1516:American game theorists 902:Biography of David Gale 745:Gale evenness condition 520:stable marriage problem 514:Gale's 1962 paper with 400:in 1949. He taught at 1428:Christos Papadimitriou 1268:Arthur F. Veinott, Jr. 1173:R. Tyrrell Rockafellar 524:Gale–Shapley algorithm 443:, his solution of the 437:mathematical economics 390:University of Michigan 371:mathematical economics 242:Gale–Shapley algorithm 208:University of Michigan 25:The Life of David Gale 1348:Jean Bernard Lasserre 679:Mathematische Annalen 634:Annals of Mathematics 627:Selected publications 495:on sets of points in 557:Princeton University 413:Berkeley, California 398:Princeton University 316:Princeton University 204:Princeton University 54:improve this article 23:. For the film, see 1260:Alexander Schrijver 1236:J. Michael Harrison 456:perfect information 1432:Mihalis Yannakakis 1392:Dimitris Bertsimas 1212:Donald L. Iglehart 1196:Manfred W. Padberg 886:2014-08-24 at the 867:The New York Times 773:2008-05-12 at the 620:Golden Goose Award 509:algebraic geometry 478:linear programming 460:mathematical logic 396:in Mathematics at 386:Swarthmore College 263:Golden Goose Award 226:linear programming 212:Swarthmore College 21:David Gale (actor) 1443: 1442: 1436: 1424: 1416: 1412:Alexander Shapiro 1408: 1400: 1388: 1380:Dimitri Bertsekas 1376: 1364: 1352: 1340: 1332: 1324: 1312: 1308:GĂ©rard CornuĂ©jols 1304: 1292: 1280: 1272: 1264: 1248: 1240: 1232: 1224:Arkadi Nemirovski 1220: 1208: 1200: 1177: 1169: 1161: 1153: 1149:Peter C. Fishburn 1145: 1137: 1129: 1121: 1109: 1101:Richard E. Barlow 1097: 1089: 1081: 1073: 1065: 1057: 1049: 1041: 1033: 1029:Richard J. Duffin 1025:William W. Cooper 1017: 1009: 993: 985: 973: 965: 957: 566:Guggenheim Fellow 550:Awards and honors 423:with his partner 352: 351: 335:Doctoral students 277:Scientific career 267: 260: 161:December 13, 1921 130: 129: 122: 104: 1558: 1551:Fulbright alumni 1434: 1422: 1414: 1406: 1398: 1386: 1374: 1362: 1360:Ruth J. Williams 1356:Martin I. Reiman 1350: 1338: 1330: 1322: 1316:George Nemhauser 1310: 1302: 1290: 1278: 1270: 1262: 1252:Martin Grötschel 1246: 1238: 1230: 1218: 1206: 1198: 1192:Ellis L. Johnson 1175: 1167: 1159: 1151: 1143: 1135: 1127: 1119: 1107: 1095: 1087: 1079: 1077:Herbert A. Simon 1071: 1063: 1055: 1047: 1039: 1031: 1015: 1007: 1005:Albert W. Tucker 991: 983: 981:Carlton E. Lemke 971: 963: 955: 932: 925: 918: 909: 870: 857: 840: 839: 837: 836: 821: 815: 814: 813: 812: 796: 790: 766:(March, 2008), " 761: 555:Procter Fellow, 497:projective space 402:Brown University 339:William A. Brock 329:Albert W. Tucker 324:Doctoral advisor 311:Rand Corporation 306:Brown University 265: 258: 183: 160: 158: 146: 132: 125: 118: 114: 111: 105: 103: 62: 38: 30: 1566: 1565: 1561: 1560: 1559: 1557: 1556: 1555: 1446: 1445: 1444: 1439: 1384:John Tsitsiklis 1368:Donald Goldfarb 1328:Michel Balinski 1320:Laurence Wolsey 1228:Michael J. Todd 1180: 1113:Alan J. Hoffman 1085:Harry Markowitz 1021:Abraham Charnes 989:David Blackwell 969:Felix Pollaczek 961:Richard Bellman 941: 936: 888:Wayback Machine 877: 860: 852: 844: 843: 834: 832: 825:"Market Design" 823: 822: 818: 810: 808: 798: 797: 793: 775:Wayback Machine 762: 758: 753: 736: 629: 568:, 1962–63, 1981 552: 433: 379:convex analysis 341: 314: 309: 304: 268: 261: 244: 240: 236: 232: 230:convex analysis 228: 224: 210: 206: 195: 185: 181: 172: 162: 156: 154: 137: 126: 115: 109: 106: 63: 61: 51: 39: 28: 17: 12: 11: 5: 1564: 1562: 1554: 1553: 1548: 1543: 1538: 1533: 1528: 1523: 1518: 1513: 1508: 1503: 1498: 1493: 1488: 1483: 1478: 1473: 1468: 1463: 1458: 1448: 1447: 1441: 1440: 1438: 1437: 1425: 1420:Vijay Vazirani 1417: 1409: 1401: 1389: 1377: 1365: 1353: 1341: 1336:Nimrod Megiddo 1333: 1325: 1313: 1305: 1300:Peter W. Glynn 1296:Søren Asmussen 1293: 1284:Yurii Nesterov 1281: 1273: 1265: 1249: 1241: 1233: 1221: 1209: 1201: 1188: 1186: 1182: 1181: 1179: 1178: 1170: 1165:Fred W. Glover 1162: 1154: 1146: 1138: 1130: 1122: 1110: 1105:Frank Proschan 1098: 1090: 1082: 1074: 1066: 1058: 1050: 1042: 1034: 1018: 1010: 1001:Harold W. Kuhn 994: 986: 974: 966: 958: 953:George Dantzig 949: 947: 943: 942: 937: 935: 934: 927: 920: 912: 906: 905: 899: 890: 876: 875:External links 873: 872: 871: 858: 850: 842: 841: 816: 791: 764:Roth, Alvin E. 755: 754: 752: 749: 748: 747: 742: 735: 732: 731: 730: 720: 713: 703: 696: 689: 682: 675: 668: 661: 655: 644: 637: 628: 625: 624: 623: 617: 611: 603:2002 class of 601: 594: 588: 585: 578: 575: 572: 569: 563: 560: 551: 548: 489:Gale transform 449:Ramsey problem 432: 429: 425:Sandra Gilbert 411:Gale lived in 350: 349: 346: 345: 336: 332: 331: 326: 320: 319: 298: 294: 293: 284: 280: 279: 273: 272: 253: 249: 248: 246:Ramsey problem 222:Gale transform 219: 218:Known for 215: 214: 201: 197: 196: 186: 184:(aged 86) 178: 174: 173: 163: 152: 148: 147: 139: 138: 135: 128: 127: 42: 40: 33: 15: 13: 10: 9: 6: 4: 3: 2: 1563: 1552: 1549: 1547: 1544: 1542: 1539: 1537: 1534: 1532: 1529: 1527: 1524: 1522: 1519: 1517: 1514: 1512: 1509: 1507: 1504: 1502: 1499: 1497: 1494: 1492: 1489: 1487: 1484: 1482: 1479: 1477: 1474: 1472: 1469: 1467: 1464: 1462: 1459: 1457: 1454: 1453: 1451: 1433: 1429: 1426: 1421: 1418: 1413: 1410: 1405: 1402: 1397: 1396:Jong-Shi Pang 1393: 1390: 1385: 1381: 1378: 1373: 1372:Jorge Nocedal 1369: 1366: 1361: 1357: 1354: 1349: 1345: 1344:Vašek Chvátal 1342: 1337: 1334: 1329: 1326: 1321: 1317: 1314: 1309: 1306: 1301: 1297: 1294: 1289: 1285: 1282: 1277: 1274: 1269: 1266: 1261: 1257: 1256:LászlĂł Lovász 1253: 1250: 1245: 1244:Robert Aumann 1242: 1237: 1234: 1229: 1225: 1222: 1217: 1213: 1210: 1205: 1202: 1197: 1193: 1190: 1189: 1187: 1183: 1174: 1171: 1166: 1163: 1158: 1157:Peter Whittle 1155: 1150: 1147: 1142: 1139: 1134: 1131: 1126: 1125:Robert Herman 1123: 1118: 1114: 1111: 1106: 1102: 1099: 1094: 1091: 1086: 1083: 1078: 1075: 1070: 1069:Samuel Karlin 1067: 1062: 1061:Kenneth Arrow 1059: 1054: 1051: 1046: 1043: 1038: 1037:Herbert Scarf 1035: 1030: 1026: 1022: 1019: 1014: 1013:Lloyd Shapley 1011: 1006: 1002: 998: 995: 990: 987: 982: 978: 975: 970: 967: 962: 959: 954: 951: 950: 948: 944: 940: 933: 928: 926: 921: 919: 914: 913: 910: 903: 900: 898: 894: 891: 889: 885: 882: 879: 878: 874: 868: 864: 859: 855: 851: 849: 846: 845: 831:on 2016-12-16 830: 826: 820: 817: 807: 803: 802: 795: 792: 788: 784: 780: 776: 772: 769: 765: 760: 757: 750: 746: 743: 741: 738: 737: 733: 728: 726: 721: 718: 714: 711: 707: 704: 701: 697: 694: 690: 687: 683: 680: 676: 673: 669: 666: 662: 659: 656: 653: 649: 645: 642: 638: 635: 631: 630: 626: 621: 618: 615: 612: 610: 606: 602: 599: 595: 592: 589: 586: 583: 579: 576: 573: 570: 567: 564: 561: 558: 554: 553: 549: 547: 545: 540: 538: 534: 533: 527: 525: 521: 517: 516:Lloyd Shapley 512: 510: 506: 505:coding theory 502: 498: 494: 490: 485: 483: 479: 474: 472: 468: 463: 461: 457: 452: 450: 447:-dimensional 446: 442: 438: 430: 428: 426: 422: 418: 414: 409: 407: 403: 399: 395: 391: 387: 382: 380: 376: 372: 368: 364: 360: 359:mathematician 356: 347: 344: 340: 337: 333: 330: 327: 325: 321: 317: 312: 307: 302: 299: 295: 292: 288: 285: 281: 278: 274: 271: 264: 257: 254: 250: 247: 243: 239: 235: 231: 227: 223: 220: 216: 213: 209: 205: 202: 198: 193: 189: 180:March 7, 2008 179: 175: 170: 166: 165:New York City 153: 149: 145: 140: 133: 124: 121: 113: 110:February 2013 102: 99: 95: 92: 88: 85: 81: 78: 74: 71: â€“  70: 66: 65:Find sources: 59: 55: 49: 48: 43:This article 41: 37: 32: 31: 26: 22: 1404:Adrian Lewis 1216:Cyrus Derman 1185:2000–present 1133:Lajos Takacs 1117:Philip Wolfe 1093:Richard Karp 1053:Jack Edmonds 1045:Ralph Gomory 996: 977:John F. Nash 866: 833:. Retrieved 829:the original 819: 809:, retrieved 800: 794: 778: 759: 740:Gale diagram 722: 717:Econometrica 716: 709: 699: 692: 685: 678: 671: 664: 657: 651: 647: 640: 633: 541: 536: 530: 528: 513: 501:optimization 486: 481: 475: 464: 453: 444: 434: 431:Contribution 410: 383: 354: 353: 303:, 1966–2008 297:Institutions 276: 182:(2008-03-07) 116: 107: 97: 90: 83: 76: 69:"David Gale" 64: 52:Please help 47:verification 44: 1511:2008 deaths 1506:1921 births 1276:Frank Kelly 441:equilibrium 375:game theory 287:Mathematics 1450:Categories 1204:Ward Whitt 1141:Egon Balas 997:David Gale 893:David Gale 835:2015-05-27 811:2019-10-09 493:involution 355:David Gale 343:Hal Varian 313:, 1957–58 308:, 1950–65 192:California 157:1921-12-13 136:David Gale 80:newspapers 946:1975–1999 363:economist 291:economics 200:Education 1288:Yinyu Ye 884:Archived 881:MathSite 771:Archived 734:See also 596:Member, 580:Fellow, 467:Bridg-It 238:Bridg-It 188:Berkeley 169:New York 895:at the 607:of the 605:Fellows 518:on the 318:1949–50 94:scholar 1435:(2023) 1423:(2022) 1415:(2021) 1407:(2020) 1399:(2019) 1387:(2018) 1375:(2017) 1363:(2016) 1351:(2015) 1339:(2014) 1331:(2013) 1323:(2012) 1311:(2011) 1303:(2010) 1291:(2009) 1279:(2008) 1271:(2007) 1263:(2006) 1247:(2005) 1239:(2004) 1231:(2003) 1219:(2002) 1207:(2001) 1199:(2000) 1176:(1999) 1168:(1998) 1160:(1997) 1152:(1996) 1144:(1995) 1136:(1994) 1128:(1993) 1120:(1992) 1108:(1991) 1096:(1990) 1088:(1989) 1080:(1988) 1072:(1987) 1064:(1986) 1056:(1985) 1048:(1984) 1040:(1983) 1032:(1982) 1016:(1981) 1008:(1980) 992:(1979) 984:(1978) 972:(1977) 964:(1976) 956:(1975) 622:, 2013 600:, 1983 593:, 1980 584:, 1978 559:, 1948 507:, and 491:is an 421:France 415:, and 377:, and 283:Fields 266:(2013) 259:(1980) 252:Awards 194:, U.S. 171:, U.S. 96:  89:  82:  75:  67:  751:Notes 471:Chomp 417:Paris 394:Ph.D. 234:Chomp 101:JSTOR 87:books 487:The 361:and 177:Died 151:Born 73:news 783:doi 777:", 56:by 1452:: 1430:/ 1394:/ 1382:/ 1370:/ 1358:/ 1346:/ 1318:/ 1298:/ 1286:/ 1258:/ 1254:/ 1226:/ 1214:/ 1194:/ 1115:/ 1103:/ 1027:/ 1023:/ 1003:/ 999:/ 979:/ 865:. 804:, 708:. 511:. 503:, 473:. 462:. 419:, 408:. 381:. 373:, 289:, 190:, 167:, 931:e 924:t 917:v 869:. 856:. 838:. 789:. 785:: 727:. 445:n 159:) 155:( 123:) 117:( 112:) 108:( 98:· 91:· 84:· 77:· 50:. 27:.

Index

David Gale (actor)
The Life of David Gale

verification
improve this article
adding citations to reliable sources
"David Gale"
news
newspapers
books
scholar
JSTOR
Learn how and when to remove this message

New York City
New York
Berkeley
California
Princeton University
University of Michigan
Swarthmore College
Gale transform
linear programming
convex analysis
Chomp
Bridg-It
Gale–Shapley algorithm
Ramsey problem
John von Neumann Theory Prize
Golden Goose Award

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.

↑