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An answer to a question of herings et al

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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)

Abstract

One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied to the problem of Nash equilibrium existence in discontinuous games.

Suggested Citation

  • Philippe Bich, 2008. "An answer to a question of herings et al," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00265464, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00265464
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00265464
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    References listed on IDEAS

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    1. Jean-Jacques Herings & Gerard van der Laan & Dolf Talman & Zaifu Yang, 2004. "A Fixed Point Theorem for Discontinuous Functions," Tinbergen Institute Discussion Papers 05-004/1, Tinbergen Institute.
    2. Toussaint, Sabine, 1984. "On the existence of equilibria in economies with infinitely many commodities and without ordered preferences," Journal of Economic Theory, Elsevier, vol. 33(1), pages 98-115, June.
    3. Candelon, B. & Kool, C.J.M. & Raabe, K. & van Veen, A.P., 2005. "The feasibility of a fixed exchange rate regime for new EU-members: evidence from real exchange rates," Research Memorandum 011, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
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    Keywords

    fixed point theorem; discontinuity; nash equilibrium;
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