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Maximal elements and equilibria of generalized games for ° ’ °-majorized and condensing correspondencesDOI: 10.1155/s0161171299221795 Keywords: Ψ-condensing mappings , class , -majorized , open lower sections , lower semicontinuous , upper semicontinuous , fixed point , mathematical economics , maximal element , selection theorem , equilibrium point , abstract economy , generalized game. Abstract: In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are ° ’ °-majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are ° ’ °-majorized (resp., ¨-condensing) are obtained in locally convex topological vector spaces.
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