Equilibria of nonparacompact generalized games with [formula omitted]-majorized correspondences in G-convex spaces

Abstract

New classes of L F c -correspondences and L F c -majorized correspondences with out open lower sections are introduced in G-convex spaces. Some existence theorems of maximal elements for L F c correspondences and L F c -majorized correspondences are proved under nonparacompact setting of G-convex spaces. As applications, some new equilibrium existence theorems for qualitative games and generalized games with infinite set of players and L F c -majorized preference correspondences are established under nonparacompact setting of G-convex spaces. These results unify, improve and generalize many known results in recent literature.