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The Shapley Value

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  • Roth,Alvin E.

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Abstract

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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Bibliographic Info

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This book is provided by Cambridge University Press in its series Cambridge Books with number 9780521021333 and published in 2005.

Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521021333
Handle: RePEc:cup:cbooks:9780521021333

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Web page: http://www.cambridge.org

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Cited by:
  1. Yuan Ju & David Wettstein, 2006. "Implementing Cooperative Solution Concepts: a Generalized Bidding Approach," Keele Economics Research Papers KERP 2006/06, Centre for Economic Research, Keele University.
  2. Yan-An Hwang & Yu-Hsien Liao, 2010. "Consistency and dynamic approach of indexes," Social Choice and Welfare, Springer, vol. 34(4), pages 679-694, April.
  3. repec:ebl:ecbull:v:12:y:2005:i:16:p:1-6 is not listed on IDEAS
  4. David Pérez-Castrillo & David Wettstein, 2005. "Implementation of the Ordinal Shapley Value for a Three-agent Economy," Working Papers 167, Barcelona Graduate School of Economics.
  5. MISHRA, Debasis & RANGARAJAN, Bharath, 2005. "Cost sharing in a job scheduling problem," CORE Discussion Papers 2005053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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