Maximal elements and equilibria for condensing correspondences. (English) Zbl 0946.47038

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)


47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
91A40 Other game-theoretic models
91B50 General equilibrium theory
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