Equilibria of nonparacompact generalized games with LFc-majorized correspondences in G-convex spaces Original Research Article

New classes of View the MathML source-correspondences and View the MathML source-majorized correspondences with out open lower sections are introduced in G-convex spaces. Some existence theorems of maximal elements for View the MathML source correspondences and View the MathML source-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 View the MathML source-majorized preference correspondences are established under nonparacompact setting of G-convex spaces. These results unify, improve and generalize many known results in recent literature.