| Document Type
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BL
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| Record Number
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994102
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| Doc. No
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b748472
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| Main Entry
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Roth, Alvin E.
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| Title & Author
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The Shapley Value : : Essays in Honor of Lloyd S. Shapley /\ edited by Alvin E. Roth.
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| Publication Statement
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Cambridge :: Cambridge University Press,, 1988.
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| Page. NO
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1 online resource (340 pages)
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| ISBN
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0511528442
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: 0521021332
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: 052136177X
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: 9780511528446
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: 9780521021333
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: 9780521361774
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| Notes
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Title from publishers bibliographic system (viewed on 22 Dec 2011).
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| Bibliographies/Indexes
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Includes bibliographical references.
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| Contents
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Cover -- Half-title -- Title -- Copyright -- Contents -- Preface -- 1 Introduction to the Shapley value -- l Ancestral papers -- 2 A value for n-person games -- 3 A method for evaluating the distribution of power in a committee system -- II Reformulations and generalizations -- 4 The expected utility of playing a game -- 5 The Shapley-Shubik and Banzhaf power indices as probabilities -- 6 Weighted Shapley values -- 7 Probabilistic values for games.
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8 Combinatorial representations of the Shapley value based on average relative payoffs -- 9 The potential of the Shapley value -- 10 Multilinear extensions of games -- III Coalitions -- 11 Coalitional value -- 12 Endogenous formation of links between players and of coalitions: an application of the Shapley value -- IV Large games -- 13 Values of large finite games -- 14 Payoffs in nonatomic economies: an axiomatic approach -- 15 Values of smooth nonatomic games: the method of multilinear approximation -- 16 Nondifferentiable TU markets: the value.
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V Cost allocation and fair division -- 17 Individual contribution and just compensation -- 18 The Aumann-Shapley prices: a survey -- VI NTU games -- 19 Utility comparison and the theory of games -- 20 Paths leading to the Nash set.
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| Abstract
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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 especial.
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| Subject
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Economics, Mathematical.
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Game theory.
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| Subject
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Economics, Mathematical.
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Game theory.
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| Dewey Classification
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330/.01/5193
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| LC Classification
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HB144.S53 1988eb
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