aumann robert lloyd shapley (4 Ergebnisse)

First edition of this "first class contribution to the field of game theory" (Oskar Morgenstern). Octavo, original cloth. Inscribed by Robert Aumann on the title page. Fine in a near fine dust jacket. The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive set functions and associated linear operators.

First edition of this "first class contribution to the field of game theory" (Oskar Morgenstern). Octavo, original cloth. Association copy, inscribed by Aumann on the title page to fellow Nobel Prize-winning economist Kenneth Arrow, "For Ken Bob Aumann." Fine in a near fine price-clipped dust jacket. From the library of Kenneth Arrow. The "Shapley value" of a finite multi- person game associates to each player the amount he should be willing to pay to participate. This book extends the value concept to certain classes of non-atomic games, which are infinite-person games in which no individual player has significance. It is primarily a book of mathematics--a study of non-additive set functions and associated linear operators.

First edition of each work in this ground-breaking four volume work on game theory. Octavo, 4 volumes, original orange wrappers. Volume one is signed by contributors John von Neumann and John Nash on the title page. Contains the article by the Nobel Prize-winning economist entitled, "A Simple Three Person Poker Game." Volume II is signed by contributors Kenneth J. Arrow and John Milnor. Volume III is signed by contributors W.H. Fleming and Philip Wolfe on the title page. Volume IV is signed by contributors Robert J. Aumann and Martin Shubik. In near fine condition with some rubbing and wear. Housed in a custom half morocco clamshell box. An exceptional set, most rare and desirable signed by von Neumann and other contributors. Volume I contains: G.W. Brown & John Von Neumann, âSolutions of Games by Differential Equationsâ (pp. 73-79); John Nash & Lloyd Shapleyâs important paper: âA Simple Three-person Poker Gameâ (105-16), and other papers by Hermann, Weyle, Gale, Dresher, Kuhn, McKinsey, et al. Volume II contains: Lloyd Shapleyâs âA Value for n-Person Gamesâ (pp. 307-17): A âremarkable 1953 paper⦠There he proposed that it might be possible to evaluate, in a numerical way, the âvalueâ of playing a game. The particular function he derived for this purpose, which has come to be called the Shapley value, has been the focus of sustained interest among students of cooperative game theory ever sinceâ (Alvin Roth, who shared the 2012 Nobel Prize with Shapley, Chapter 1: âIntroduction to the Shapley Value,â in Roth, The Shapley Value: Essays in Honor of Lloyd S. Shapley, Cambridge University Press, 1988). Also contains Von Neumannâs âA Certain Zero-Sum Two-Person Game Equivalent to the Optimal Assignment Problemâ (pp. 5-12) and D.B. Gillies, J.P. Mayberry, & Von Neumann, âTwo Variants of Pokerâ (pp. 13-50). The latter is the supplement to Von Neumann and Morgensternâs Theory of Games and Economic Behavior promised in the footnote on p. 196 of the second edition. Volume III contributors include Gale, Karlin, Kemeny, Oxtoby, Scarf, Shapley, et al. Volume IV contributors include Nobel Laureates Harsanyi, Aumann, and Shapley, as well as Kalisch, Von Neumann (âOn the Theory of Games of Strategy,â pp. 13-42), Shubik, et al. Shapley won the Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel for 2012, commonly known as the Nobel Prize in Economics.

First edition, first printing, of this influential contribution to game theory, which helped both authors to win the Nobel Prize. Here, infinite player scenarios - non-atomic games lacking discrete significant players - are combined with co-operative game theory, through the value solution developed by Lloyd S. Shapley (1923-2016). Octavo. Diagrams and formulae in the text. Original blue cloth, spine lettered in white. With dust jacket. Late 20th-century pencil ownership signature of Stanley C. Wisniewski, an American copyright judge, to front pastedown. Minor rubbing and bumping, slight scuff to rear endpapers; light rubbing, creasing, and sunning to clipped jacket, short closed tear to foot of rear panel: a very good copy in like jacket.