Constrained multiobjective games in general topological space

Abstract

In this paper, we introduce and study a new class of constrained multiobjective games in general noncompact topological space. By employing an existence theorem of quasi-equilibrium problems due to this author, several existence theorems of weighted Nash equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact topological spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literature.