Existence of Pareto equilibria for constrained multiobjective games in H-space

AbstractIn this paper, we introduce and study a new class of constrained multiobjective games in H-spaces without linear structure. An existence theorem of solutions for quasi-equilibrium problems is first proved in noncompact H-spaces. Then, as applications of the quasi-equilibrium existence theorem, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact H-spaces. These theorem improve, unify, and generalize the corresponding results of the multiobjective games in recent literature