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Finitely Additive and Epsilon Nash Equilibria

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

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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.

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Publisher Info
Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 26 (1997)
Issue (Month): 3 ()
Pages: 315-333
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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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  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). [Downloadable!]
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