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Game theory : Mathematics 147
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Publisher: [Los Angeles]: UCLA. Department of mathematics,

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Game theory


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On balanced sets and cores
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Year: 1965 Publisher: Santa Monica: Rand corporation,

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Game theory


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Additive and non-additive set functions
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Year: 1953 Publisher: Princeton: Princeton university press,

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On balanced sets and cores
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Year: 1965 Volume: RM-4601-PR Publisher: Santa Monica, Calif. : Rand Corporation,

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Geometry of moment spaces
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Year: 1953 Publisher: Providence (R.I.): American Mathematical Society

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The Shapley value : essays in honor of Lloyd S. Shapley
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ISBN: 9780521361774 9780511528446 9780521021333 052136177X 0521021332 1107712696 0511946953 110771592X 0511528442 1107720052 9781107720053 1107713080 1139886274 0511829728 Year: 1988 Publisher: Cambridge : Cambridge University Press,

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Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of large markets, to problems of cost allocation, and to the study of games in which utility is not transferable.


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Values of non-atomic games
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ISBN: 0691618461 1400867088 9781400867080 9780691618463 9780691081038 0691081034 Year: 1974 Publisher: Princeton, New Jersey : Princeton University Press,

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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.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


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Values of large games
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Year: 1961 Publisher: Santa Monica, Calif. : The Rand corp.,

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Advances in game theory
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Year: 1964 Publisher: Princeton : Princeton University Press,

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Statistics, probability, and game theory : papers in honor of David Blackwell
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Year: 1996 Publisher: [Place of publication not identified] Institute of Mathematical Statistics

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