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