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

Allan Muir () and Dionysius Glycopantis ()
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Allan Muir: Department of Mathematics, City University, Northampton Square, London EC1V OHB, UK
Dionysius Glycopantis: Department of Economics, City University, Northampton Square, London EC1V OHB, UK

Economic Theory, 1999, vol. 13, issue 3, 743-751

Abstract: 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 .

Keywords: Nash; Equilibria; \infty-dimensional; strategy; spaces; ·; Finite; number; of; players; ·; Approximation; theorem.; · (search for similar items in EconPapers)
Date: 1999-04-15
Note: Received: July 15, 1997; revised version: February 6, 1998
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