EQUILIBRIUM OF GENERALIZED GAMES IN LOCALLY G-CONVEX UNIFORM SPACES

Abstract

In this paper, some existence theorems of maximal elements for U-majorized correspondences are proved in locally G-convex uniform spaces. As applications, some equilibrium existence theorems for qualitative games and generalized games with an in finite number of agents, with noncompact strategy spaces and with U-majorized correspondences are proved in locally G-convex uniform spaces. Our theorems improve some known results in the
literatures.