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Existence of pure Nash equilibria in discontinuous and non quasiconcave games

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

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    File URL: ftp://mse.univ-paris1.fr/pub/mse/CES2009/09061.pdf
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    Bibliographic Info

    Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 09061.

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    Length: 16 pages
    Date of creation: Oct 2009
    Date of revision:
    Handle: RePEc:mse:cesdoc:09061

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    Keywords: Nash equilibrium; discontinuity; quasiconcavity.;

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    Cited by:
    1. Alejandro Saporiti, 2014. "Power sharing and electoral equilibrium," Economic Theory, Springer, vol. 55(3), pages 705-729, April.
    2. Pavlo Prokopovych & Nicholas C. Yannelis, 2012. "On Uniform Conditions for the Existence of Mixed Strategy Equilibria," Discussion Papers 48, Kyiv School of Economics.
    3. Pavlo Prokopovych & Nicholas C.Yannelis, 2013. "On the Existence of Mixed Strategy Nash equilibria," Discussion Papers 50, Kyiv School of Economics.
    4. Carmona, Guilherme & Podczeck, Konrad, 2013. "Existence of Nash Equilibrium in games with a measure space of players and discontinuous payoff functions," MPRA Paper 44263, University Library of Munich, Germany.
    5. Pavlo Prokopovych, 2013. "The single deviation property in games with discontinuous payoffs," Economic Theory, Springer, vol. 53(2), pages 383-402, June.
    6. Vincenzo Scalzo, 2013. "Essential equilibria of discontinuous games," Economic Theory, Springer, vol. 54(1), pages 27-44, September.

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