An extension of Reny's theorem without quasiconcavity

Philippe Bich (bich@univ-paris1.fr)
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Philippe Bich: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique

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Abstract: In a recent but well known paper, Reny has proved the existence of Nash equilibria for compact and quasiconcave games, with possibly discontinuous payoff functions. In this paper, we prove that the quasiconcavity assumption in Reny's theorem can be weakened: roughly, we introduce a measure allowing to localize the lack of quasiconcavity; this allows to refine the analysis of equilibrium existence

Keywords: Nash equilibrium; existence; discontinuous games; non quasiconcave (search for similar items in EconPapers)
Date: 2008-09-20
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