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The Consistency and Potential for Values of Games with Coalition Structure

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Author Info
Eyal Winter

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Abstract

In the present paper we discuss the notion of values for games with coalition structure, applying the approach suggested by Hart and Mas-Colell (1985) concerning the consistency property and the potential function. An axiomatic formulation of the values by this approach leads to two known values for coalition structure, namely, Aumann and Dreze's (1974) generalization of the Shapley value and Owen's (1977) value for games with coalition structure.

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Publisher Info
Paper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number 242.

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Date of creation: May 1989
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Handle: RePEc:bon:bonsfa:242

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=517

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  1. Barry Feldman, 2002. "A Dual Model of Cooperative Value," Game Theory and Information 0207001, EconWPA. [Downloadable!]
  2. Gerard van der Laan & René van den Brink, 2002. "A Banzhaf share function for cooperative games in coalition structure," Theory and Decision, Springer, vol. 53(1), pages 61-86, August. [Downloadable!] (restricted)
    Other versions:
  3. J. Alonso-Meijide & C. Bowles & M. Holler & S. Napel, 2009. "Monotonicity of power in games with a priori unions," Theory and Decision, Springer, vol. 66(1), pages 17-37, January. [Downloadable!] (restricted)
  4. Gómez-Rúa, María & Vidal-Puga, Juan, 2008. "The axiomatic approach to three values in games with coalition structure," MPRA Paper 8904, University Library of Munich, Germany. [Downloadable!]
  5. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "The NTU consistent coalitional value," Game Theory and Information 0303007, EconWPA. [Downloadable!]
  6. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA. [Downloadable!]
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This page was last updated on 2009-12-11.

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