The Study of Existence of Equilibria for Generalized Games without Lower Semicontinuity in Locally Topological Vector Spaces*

The aim of this paper is to establish general existence results of maximal elements for L-majorized mappings, which are, in turn, used to establish the general existence theorems of equilibria for generalized games resp., abstract economics. without lower semicontinuity for both constraint and preference map- pings correspondences.and in which strategic resp., commodity. spaces may not be compact, the set of players resp., agents.may not be countable, and underlying spaces are either finite or infinite dimensional locally topological vector spaces. Our results unify or improve corresponding results in the literature