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An extension of Reny's theorem without quasiconcavity

Author

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  • Philippe Bich

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

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

Suggested Citation

  • Philippe Bich, 2008. "An extension of Reny's theorem without quasiconcavity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00323348, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00323348 Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00323348
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    References listed on IDEAS

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    1. Carolyn Pitchik, 1981. "Equilibria of a Two-Person Non-Zero Sum Noisy Game of Timing," Cowles Foundation Discussion Papers 579, Cowles Foundation for Research in Economics, Yale University.
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