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
Recommended Citation
Liu, J., & Yu, G. (2022). Fuzzy Kakutani-Fan-Glicksberg fixed point theorem and existence of Nash equilibria for fuzzy games. Fuzzy Sets and Systems, 447, 100–112. https://doi.org/10.1016/j.fss.2022.02.002