Abstract

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 L S -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 n -person games than before.

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