Finitely Additive and Epsilon Nash Equilibria

Massimo Marinacci

International Journal of Game Theory, 1997, vol. 26, issue 3, 315-333

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.

Date: 1998-05-19
Note: Received June 1995 Revised February 1996 Final Version June 1996
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