Chebbi, Souhail; Florenzano, Monique Maximal elements and equilibria for condensing correspondences. (English) Zbl 0946.47038 Nonlinear Anal., Theory Methods Appl. 38, No. 8, A, 995-1002 (1999). The existence of maximal elements for condensing preferences defined on a noncompact subset of a Hausdorff locally convex topological vector space is proved by using a generalized notion of the measure of noncompactness. As an application, an equilibrium existence result is proved for noncompact generalized games with infinitely many agents, KF-majorized preferences and a condensing condition on the constrained correspondences. Reviewer: M.Kučera (Praha) Cited in 9 Documents MSC: 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 91A40 Other game-theoretic models 91B50 General equilibrium theory Keywords:measure of noncompactness; condensing correspondences; maximal elements; qualitative games; generalized games; abstract economies; equilibrium existence; noncompact generalized games; KF-majorized preferences; constrained correspondences PDFBibTeX XMLCite \textit{S. Chebbi} and \textit{M. Florenzano}, Nonlinear Anal., Theory Methods Appl. 38, No. 8, 995--1002 (1999; Zbl 0946.47038) Full Text: DOI