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Game theory --- Jeux [Théorie des ] --- Processus stochastiques --- Speltheorie --- Stochastic processes --- Stochastische processen --- Théorie des jeux --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Management --- Business & Economics --- Management Theory --- Shapley, Lloyd S., --- Game theory. --- Stochastic processes. --- Shapley, Lloyd S., - 1923-2016
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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.
Shapley, Lloyd S., --- Shapley, Lloyd S. --- Economics, Mathematical --- Game theory --- 330.105 --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Economics --- Mathematical economics --- Econometrics --- 330.105 Wiskundige economie. Wiskundige methoden in de economie --- Wiskundige economie. Wiskundige methoden in de economie --- Methodology --- Festschrift - Libri Amicorum --- Operational research. Game theory --- E-books --- Economics, Mathematical. --- Game theory. --- Mathématiques économiques --- Théorie des jeux --- 305.6 --- AA / International- internationaal --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen --- Business, Economy and Management --- Shapley, L. S.
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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.
Game theory. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Game theory --- Théorie des jeux --- Operational research. Game theory
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Game theory --- Simulation methods --- Théorie des jeux --- Méthodes de simulation
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