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Article type: Research Article
Authors: Lu, Haishu; * | Li, Rong | Zhang, Kai
Affiliations: School of Business, Jiangsu University of Technology, Changzhou, Jiangsu, P.R. China
Correspondence: [*] Corresponding author. Haishu Lu, School of Business, Jiangsu University of Technology, Changzhou 213001, Jiangsu, P.R. China. Tel.: +86 519 86953306; Fax: +86 519 86953300. E-mail: [email protected].
Abstract: 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.
Keywords: Fuzzy generalized discontinuous game, Nash equilibrium, maximal element, transfer continuity
DOI: 10.3233/JIFS-182954
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 1721-1736, 2020
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