More strategies, more Nash equilibria

Sophie Bade, Guillaume Haeringer () and Ludovic Renou
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Sophie Bade: Department of Economics, Penn State University

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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.

Keywords: Strategic-form games; strategy spaces; Nash equilibrium; two players (search for similar items in EconPapers)
JEL-codes: C7 D8 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth
Date: 2005-02-03
Note: Type of Document - pdf
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Related works:
Journal Article: More strategies, more Nash equilibria (2007)
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Persistent link: http://EconPapers.repec.org/RePEc:wpa:wuwpga:0502001

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