| Author: | Reny, P. |
| Title: | On the existence of pure and mixed strategy Nash equilibria in discontinuous games |
| Journal: | Econometrica
1999 : SEP, VOL. 67:5, p. 1029-1056 |
| Index terms: | STRATEGY EQUILIBRIUM THEORY GAMES |
| Language: | eng |
| Abstract: | A game is better-reply secure if for every nonequilibrium strategy x* and every payoff vector limit u* resulting from strategies approaching x*, some player i has a strategy yielding a payoff strictly above Ui* even if the others deviate slightly from x*. If strategy spaces are compact and convex, payoffs are quasiconcave in the owner's strategy, and the game is better-reply secure, then a pure strategy Nash equilibrium exists. |
SCIMA