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Finitely Additive and Epsilon Nash Equilibria

Author

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  • Massimo Marinacci

    (Department of Economics, University of Toronto, 150 St. George Street, Toronto, Canada M5S 3G7)

Abstract

We prove the existence of a mixed strategy Nash equilibrium in normal form games when the space of mixed strategies consists of finitely additive probability measures. It is then proved that from this result an existence result for epsilon equilibria with countably additive mixed strategies can be obtained. These results are applied to the classic Cournot game.

Suggested Citation

  • Massimo Marinacci, 1997. "Finitely Additive and Epsilon Nash Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(3), pages 315-333.
    • Handle: RePEc:spr:jogath:v:26:y:1997:i:3:p:315-333
    Note: Received June 1995 Revised February 1996 Final Version June 1996
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    Cited by:

    1. Alain Chateauneuf & Jean-Philippe Lefort, 2006. "Some Fubini theorems on sigma-algebras for non additive measures," Cahiers de la Maison des Sciences Economiques b06086, Université Panthéon-Sorbonne (Paris 1).

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