MAXIMAL ELEMENTS AND PAIR OF GENERALIZED GAMES FOR U-MAJORIZED AND CONDENSING CORRESPONDENCES

Abstract

In this paper, we prove the existence of equilibria for pair of maps in locallyconvex spaces, in which preference correspondences are U-majorized with any(countable oruncountable) set of players. We also present the generalization of some existence theoremsfor compact(resp. non-compact) qualitative games and generalized games, in which theconstraint or preference correspondences are U-majorized(resp.  ψ-condensing) are obtainedin locally convex topological vector spaces.