Maximal elements and equilibria for condensing correspondences

Using a generalized notion of the measure of noncompactness, the existence of maximal elements for condensing preferences defined on a noncompact subset of Hausdorff locally convex topological vector space is proven. As an application, an equilibrium existence result is presented for noncompact generalized games with infinitely many agents, KF-majorized preferences and a condensing condition on the constraint correspondences.