On the existence of Nash equilibria in fuzzy generalized discontinuous games with infinite players

摘要

This paper introduces new concepts of fuzzy generalized quasi-weak transfer continuity and fuzzy generalized pseudo quasi-weak transfer continuity for fuzzy generalized discontinuous games with infinite players. Furthermore, by using a collectively maximal element theorem, we obtain some new existence results of Nash equilibria in fuzzy generalized discontinuous games with infinite players. Finally, as applications, some existence results of Nash equilibria in generalized discontinuous games are given in crisp senses. The results presented in this paper improve and generalize some known results in the literature.