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| Tekijä: | Govindan, S. Wilson, R. |
| Otsikko: | Equivalence and invariance of the index and degree of Nash Equilibria |
| Lehti: | Games and Economic Behavior
1997 : OCT/NOV, VOL. 21:1/2, p. 56-61 |
| Asiasana: | GAMES EQUILIBRIUM THEORY ECONOMIC BEHAVIOUR |
| Kieli: | eng |
| Tiivistelmä: | Associated with each component of the Nash equilibria of a game are its index and degree. Its index is the local degree of the displacement map whose roots are the Nash equilibria of the game. Its degree is the local degree of the projection map from the Nash graph to the space of games. The author shows that the index and the degree of each component are the same. Further, they are invariant to adding or deleting redundant strategies, so they depend only on the reduced normal form of the game. |
SCIMA