Maximal elements and equilibria of generalized games for \({\mathcal U}\)-majorized and condensing correspondences (Q1283419)

Summary: We first give an existence theorem of maximal elements for a new type of preference correspondences which are \({\mathcal U}\)-majorized. Then some existence theorems for compact (resp., non-compact) quantitative games and generalized games in which the constraint or preference correspondences are \({\mathcal U}\)-majorized (resp., \(\Psi\)-condensing) are obtained in locally convex topological vector spaces.