Finitely additive and epsilon Nash equilibria

Finitely additive and epsilon Nash equilibria

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Article ID: iaor19982903
Country: Germany
Volume: 26
Issue: 3
Start Page Number: 315
End Page Number: 333
Publication Date: Jan 1997
Journal: International Journal of Game Theory
Authors:
Keywords: Nash theory and methods
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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