Noncompact qualitative games with application to equilibria

In 2003, S.Y. Chang [Maximal elements in noncompact spaces with application to equilibria, Proc. Amer. Math. Soc. 132 (2) (2003) 535–541] obtained a maximal theorem for LSLS-majorized correspondences in noncompact spaces. In this paper, we extend this result to obtain new existence theorems for qualitative games. Applying it, we have more refined existence theorems for both abstract economies and generalized nn-person games than before.