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Nash equilibrium existence for some discontinuous games

Author

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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

Answering to an open question of Herings et al. (see [3]), one extends their fixed point theorem to mappings defined on convex compact subset of Rn, and not only polytopes. Such extension is important in non-cooperative game theory, where typical strategy sets are convex and compact. An application in game theory is given.

Suggested Citation

  • Philippe Bich, 2007. "Nash equilibrium existence for some discontinuous games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00188764, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00188764
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00188764
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    Cited by:

    1. Takao Fujimoto, 2013. "Fixed Point Theorems for Discontinuous Maps on a Non-convex Domain," Metroeconomica, Wiley Blackwell, vol. 64(3), pages 547-572, July.

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