Oddness of the number of Nash equilibria: the case of polynomial payoff functions
Résumé
In 1971, Robert Wilson ([19]) proved that "almost all" finite games have an odd number of mixed Nash equilibria (oddness theorem). Since then, several other proofs have been given, but always for mixed extensions of finite games. In this paper, we prove oddness theorem for large classes of polynomial payo↵ functions and semi-algebraic sets of strategies, and we provide some applications to recent models.
Domaines
Economies et finances
Origine :
Fichiers produits par l'(les) auteur(s)
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