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Strong Nash equilibria and the potential maximizer

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Author Info
Megen, F. van
Facchini, G.
Borm, P. (Tilburg University, Center for Economic Research)

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Abstract

A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide. The structure of the class is investigated and it turns out that this class constitutes a cone. Remarks on strictly strong Nash equilibria and relaxations are provided.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 13.

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Date of creation: 1996
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Handle: RePEc:dgr:kubcen:199613

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  1. Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation, Yale University. [Downloadable!]
  2. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer, vol. 7(1), pages 81-93, January.
  3. Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January. [Downloadable!] (restricted)
  4. Wooders, Myrna Holtz, 1989. "A Tiebout theorem," Mathematical Social Sciences, Elsevier, vol. 18(1), pages 33-55, August. [Downloadable!] (restricted)
  5. Monderer, Dov & Shapley, Lloyd S., 1996. "Fictitious Play Property for Games with Identical Interests," Journal of Economic Theory, Elsevier, vol. 68(1), pages 258-265, January. [Downloadable!] (restricted)
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This page was last updated on 2009-10-29.

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