Nash equilibria in \infty-dimensional spaces: an approximation theorem

We show, by employing a density result for probability measures, that in games with a finite number of players and \infty-dimensional pure strategy spaces Nash equilibria can be approximated by finite mixed strategies. Given >0, each player receives an expected utility payoff /2 close to his Nash payoff and no player could change his strategy unilaterally and do better than .

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Year of publication:	1999-04-15
Authors:	Muir, Allan ; Glycopantis, Dionysius
Published in:	Economic Theory. - Springer. - Vol. 13.1999, 3, p. 743-751
Publisher:	Springer
Subject:	Nash Equilibria \infty-dimensional strategy spaces \| Finite number of players \| Approximation theorem.

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Extent:	application/pdf
Type of publication:	Article
Notes:	Received: July 15, 1997; revised version: February 6, 1998
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005596713