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| Author: | Salonen, H. |
| Title: | On the existence of undominated Nash equilibria in normal form games |
| Journal: | Games and Economic Behavior
1996 : JUN, VOL. 14:2, p. 208-219 |
| Index terms: | ECONOMIC BEHAVIOUR GAMES ECONOMICS |
| Language: | eng |
| Abstract: | In this paper the existence problem of undominated Nash equlibrium in normal form games is analyzed. It is shown that an undominated Nash equilibrium exists, if (a) strategy sets are convex polytopes in Rn and (b) utility functions are affine with respect to each player's own strategy. It is shown by counterexamples that, first, it is not sufficient to have concave utility functions instead of affine under condition (b) even when condition (a) is satisfied, and , second, it is not sufficient to have just compact and convex strategy sets instead of polytopes in condition (a) even when condition (b) is satisfied. |
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