Existence of pure Nash equilibria in discontinuous and non quasiconcave games.

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 : we introduce a measure allowing to localize the lack of quasiconcavity, which allows to refine the analysis of equilibrium existence.

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Year of publication:	2009-10
Authors:	Bich, Philippe
Institutions:	Centre d'Économie de la Sorbonne, Université Paris 1 (Panthéon-Sorbonne)
Subject:	Nash equilibrium \| discontinuity \| quasiconcavity

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Extent:	application/pdf
Series:	Documents de travail du Centre d'Economie de la Sorbonne. - ISSN 1955-611X.
Type of publication:	Book / Working Paper
Notes:	16 pages
Classification:	C70 - Game Theory and Bargaining Theory. General
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008622039