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More strategies, more Nash equilibria |
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| Authors: | Sophie Bade Guillaume Haeringer |
| Institution: | a Department of Economics, Penn State University, 518 Kern Graduate Building, University Park, PA 16802-3306, USA b Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain c Department of Economics, Room G52, Napier Building, University of Adelaide, Adelaide 5005, Australia |
| Abstract: | We show in this paper that for the class of two-player games with compact real intervals as strategy spaces and continuous and strictly quasi-concave payoff functions there exists a monotone relation between the size of strategy spaces and the number of Nash equilibria. These sufficient conditions for our theorem to hold are shown to be tight. |
| Keywords: | C72 |
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