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More strategies, more Nash equilibria

Bade, Sophie and Haeringer, Guillaume and Renou, Ludovic (2005) More strategies, more Nash equilibria. Working Paper. EconWPA Game Theory and Information series 0502001.

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Abstract

This short paper isolates a non-trivial class of games for which there exists a monotone relation between the size of pure strategy spaces and the number of pure Nash equilibria (Theorem). This class is that of two- player nice games, i.e., games with compact real intervals as strategy spaces and continuous and strictly quasi-concave payoff functions, assumptions met by many economic models. We then show that the sufficient conditions for Theorem to hold are tight.

Item Type: Monograph (Working Paper)
Uncontrolled Keywords: Strategic-form games; strategy spaces; Nash equilibrium; two players
Subjects: H Social Sciences > HB Economic Theory
Divisions: Faculty of Social Sciences > Economics, Department of
Depositing User: Jim Jamieson
Date Deposited: 06 Jan 2013 23:32
Last Modified: 06 Jan 2013 23:33
URI: http://repository.essex.ac.uk/id/eprint/5009

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