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A NEW THEOREM TO FIND BERGE EQUILIBRIA

Olivier Musy, Antonin Pottier and Tarik Tazdaït

International Game Theory Review (IGTR), 2012, vol. 14, issue 01, 1-10

Abstract: This paper examines the existence of Berge equilibrium. Colmanet al.provide a theorem on the existence of this type of equilibrium in the paper [Colman, A. M., Körner, T. W., Musy, O. and Tazdaït, T. [2011] Mutual support in games: Some properties of Berge equilibria,J. Math. Psychol.55, 166–175]. This theorem has been demonstrated on the basis of a correspondence with Nash equilibrium. We propose to restate this theorem without using Nash equilibrium, and deduce a method for the computation of Berge equilibria.

Keywords: Berge equilibrium; Nash equilibrium; mutual support; C72 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0219198912500053

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