Equilibria of nonparacompact generalized games with L-Fc-majorized correspondences in G-convex spaces

摘要

New classes of L-Fc-correspondences and L-Fc-majorized correspondences without open lower sections are introduced in G-convex spaces. Some existence theorems of maximal elements for L-Fc correspondences and L-Fc-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-Fc-majorized preference correspondences are established under nonparacompact setting of G-convex spaces. These results unify, improve and generalize many known results in recent literature. (C) 2003 Elsevier Ltd. All rights reserved.