THE STUDY OF PARETO EQUILIBRIA FOR MULTIOBJECTIVE GAMES BY FIXED-POINT AND KY FAN MINIMAX INEQUALITY METHODS

In this paper, we present two ways to study the existence of weight Na sh-equilibria and Pareto equilibria for multiobjective games. One is t he 'fixed-point method' which is well known; and the second is the app lication of 'Ky Fan minimax inequality', which is not often used in th e study of optimization, game theory, and mathematical programming. As results, several existence theorems for weight Nash-equilibria and Pa reto equilibria are established which improve and unify the correspond ing results in the recently existing literatures.