A note on the existence of Berge and Berge-Nash equilibria

Moussa Larbani and Rabia Nessah ()

Mathematical Social Sciences, 2008, vol. 55, issue 2, 258-271

Abstract: This paper deals with the problem of existence of Berge and Berge-Nash equilibria. Abalo and Kostreva have proved existence theorems of Berge and Berge-Nash equilibria for S-equi-well-posed and (S, [sigma])-equi-well-posed games, namely, Theorems 3.2-3.3 [Abalo, K.Y., Kostreva, M.M., 1996. Fixed Points, Nash Games and their Organization. Topological Methods in Nonlinear Analysis 8, 205-215.]. In this paper we show that the assumptions of these theorems are actually not sufficient for the existence of Berge equilibrium. We then propose a new version of these theorems.

Date: 2008
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Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:55:y:2008:i:2:p:258-271

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