The Existence of Pareto Equilibrium for Multiobjective Games in General Topological Spaces

The main purpose of this paper is to study the Pareto equilibrium for multiobjective games in general topological spaces without any linear and convexity structure. Following the method introduced by Nikaido and Isoda (1955), this paper defines an aggregate payoff function, and next then, determines some restrictions on the aggregate function which guarantee the existence of weighted Nash equilibrium for multiobjective games in general topological spaces without any linear and convexity structure. As consequences, two new Pareto equilibrium existence theorems for multiobjective games are obtained in general topological spaces without any linear and convexity structure.