DOI: 10.1016/j.fss.2022.02.002">
 

Fuzzy Kakutani-Fan-Glicksberg fixed point theorem and existence of Nash equilibria for fuzzy games

Document Type

Article

Publication Date

2022

Department/School

Mathematics

Publication Title

Fuzzy Sets and Systems

Abstract

In this paper, we give fuzzy generalizations to the well-known Brouwer fixed point theorem and Kakutani-Fan-Glicksberg fixed point theorem. As applications, we apply the fuzzy Kakutani-Fan-Glicksberg fixed point theorem to derive an existence theorem for Nash equilibria in generalized fuzzy games with locally convex Hausdorff topological vector spaces for strategy spaces and/or discontinuous payoff functions which generalizes existence theorems for Nash equilibria in generalized games.

Link to Published Version

DOI: 10.1016/j.fss.2022.02.002

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