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Author: | Rinott, Yosef Scarsini, Marco |
Title: | On the number of pure strategy Nash equilibria in random games |
Journal: | Games and Economic Behavior
2000 : NOV, VOL. 33:2, p. 274-293 |
Index terms: | GAME THEORY |
Freeterms: | RANDOM GAMES PURE STRATEGY NASH EQUILIBRIUM |
Language: | eng |
Abstract: | Solutions to the problem, how many pure Nash equilibria can be expected to have in a finite game chosen at random, have been proposed in some special cases. In this paper independence among the profiles is assumed, but either positive or negative dependence among the players' payoffs in a same profile is allowed. Asymptotic results for the distribution of the number of Nash equilibria are provided when either the number of players or the number of strategies increases. |
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