Fiche du document
- ISIDORE Id: 10670/1.8e6ddf...
- hal: hal-03592758
- doi: 10.1142/S021919891950004X
Ce document est lié à :
info:eu-repo/semantics/altIdentifier/doi/10.1142/S021919891950004X
info:eu-repo/semantics/OpenAccess
Mots-clés
Nash equilibrium discontinuity quasi-transfer continuity C - Mathematical and Quantitative MethodsSujets proches
Amusements Children--Recreation Games for children Pastimes Primitive games Recreations Games, Primitive Children's gamesCiter ce document
Rabia Nessah et al., « Continuité de quasi-transfert et équilibre de Nash », HAL SHS (Sciences de l’Homme et de la Société), ID : 10.1142/S021919891950004X
Métriques
Partage / Export
Résumé
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 [G. Carmona, An existence result for discontinuous games, Journal of Economic Theory 144 (2009) 1333-1340]. We also show that our result is neither implied by nor does it imply the existence theorems of Reny [J.P. Reny, On the existence of pure and mixed strategy Nash equilibria in discontinuous games, Econometrica 67 (1999) 1029-1056] and Baye, Tian, and Zhou [M.R. Baye, G. Tian, J. Zhou, Characterizations of the existence of equilibria in games with discontinuous and non-quasiconcave payoffs, The Review of Economic Studies 60 (1993) 935-948].
