Abstract
This paper is aimed at widening the scope of applications of majorized correspondences. A new class of majorized correspondences—domain \({\mathcal {U}}\)-majorized correspondences—is introduced. For them, a maximal element existence theorem is established. Then, sufficient conditions for the existence of an equilibrium in qualitative games are provided. They are used to show the existence of a pure strategy Nash equilibrium in compact quasiconcave games that are either correspondence secure or correspondence transfer continuous.
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