Quasi-Transfer Continuity and Nash Equilibrium
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Quasi-Transfer Continuity and Nash Equilibrium
Auteur(s) :
Titre de la revue :
International Game Theory Review
Pagination :
1950004
Éditeur :
World Scientific Publishing
Date de publication :
2019-12
ISSN :
0219-1989
Mot(s)-clé(s) en anglais :
Nash equilibrium
discontinuity
quasi-transfer continuity
discontinuity
quasi-transfer continuity
Discipline(s) HAL :
Sciences de l'Homme et Société/Economies et finances
Résumé en anglais : [en]
We introduce a new notion of continuity, called quasi-transfer continuity, and show that it is enough to guarantee the existence of Nash equilibria in compact, quasiconcave normal form games. This holds true in a large ...
Lire la suite >We introduce a new notion of continuity, called quasi-transfer continuity, and show that it is enough to guarantee the existence of Nash equilibria in compact, quasiconcave normal form games. This holds true in a large class of discontinuous games. We show that our result strictly generalizes the pure strategy existence theorem of Carmona [Carmona, G. [2009] An existence result for discontinuous games, J. Econ. Theory144, 1333–1340]. We also show that our result is neither implied by nor does it imply the existence theorems of Reny [Reny, J. P. [1999] On the existence of pure and mixed strategy Nash equilibria in discontinuous games, Econometrica67, 1029–1056] and Baye et al. [Baye, M. R., Tian, G. and Zhou, J. [1993] Characterizations of the existence of equilibria in games with discontinuous and nonquasiconcave payoffs, Rev. Econ. Studies60, 935–948].Lire moins >
Lire la suite >We introduce a new notion of continuity, called quasi-transfer continuity, and show that it is enough to guarantee the existence of Nash equilibria in compact, quasiconcave normal form games. This holds true in a large class of discontinuous games. We show that our result strictly generalizes the pure strategy existence theorem of Carmona [Carmona, G. [2009] An existence result for discontinuous games, J. Econ. Theory144, 1333–1340]. We also show that our result is neither implied by nor does it imply the existence theorems of Reny [Reny, J. P. [1999] On the existence of pure and mixed strategy Nash equilibria in discontinuous games, Econometrica67, 1029–1056] and Baye et al. [Baye, M. R., Tian, G. and Zhou, J. [1993] Characterizations of the existence of equilibria in games with discontinuous and nonquasiconcave payoffs, Rev. Econ. Studies60, 935–948].Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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