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The consistency and potential for values of games with coalition structure

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  • Winter, Eyal

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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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 4 (1992)
Issue (Month): 1 (January)
Pages: 132-144

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Handle: RePEc:eee:gamebe:v:4:y:1992:i:1:p:132-144

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Web page: http://www.elsevier.com/locate/inca/622836

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Cited by:
  1. Juan Vidal-Puga, 2005. "The Harsanyi paradox and the 'right to talk' in bargaining among coalitions," Game Theory and Information 0501005, EconWPA.
  2. van den Brink, Rene & van der Laan, Gerard, 2005. "A class of consistent share functions for games in coalition structure," Games and Economic Behavior, Elsevier, vol. 51(1), pages 193-212, April.
  3. Gómez-Rúa, María & Vidal-Puga, Juan, 2010. "The axiomatic approach to three values in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 795-806, December.
  4. Frédéric Chantreuil & Alain Trannoy, 2013. "Inequality decomposition values: the trade-off between marginality and efficiency," Journal of Economic Inequality, Springer, vol. 11(1), pages 83-98, March.
  5. Pulido, Manuel A. & Sánchez-Soriano, Joaquín, 2009. "On the core, the Weber set and convexity in games with a priori unions," European Journal of Operational Research, Elsevier, vol. 193(2), pages 468-475, March.
  6. Hamiache, Gerard, 1999. "A new axiomatization of the Owen value for games with coalition structures," Mathematical Social Sciences, Elsevier, vol. 37(3), pages 281-305, May.
  7. 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.
  8. Gustavo Bergantiños & Juan Vidal-Puga, 2003. "The NTU consistent coalitional value," Game Theory and Information 0303007, EconWPA.
  9. 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.
  10. Barry Feldman, 2002. "A Dual Model of Cooperative Value," Game Theory and Information 0207001, EconWPA.
  11. Vidal-Puga, Juan & Bergantinos, Gustavo, 2003. "An implementation of the Owen value," Games and Economic Behavior, Elsevier, vol. 44(2), pages 412-427, August.
  12. Amer, Rafael & Carreras, Francese & Gimenez, Jose Miguel, 2002. "The modified Banzhaf value for games with coalition structure: an axiomatic characterization," Mathematical Social Sciences, Elsevier, vol. 43(1), pages 45-54, January.

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