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This paper characterizes the existence of equilibria in minimax inequalities without assuming any form of quasiconcavity of functions and convexity or compactness of choice sets. A new condition, called " local dominatedness property " , is shown to be necessary and further, under some mild continuity condition, sufficient for the existence of equilibrium.(More)
This paper deals with the problem of existence of Berge and Berge–Nash equilibria. Abalo and Kostreva have proved existence theorems of Berge and Berge–Nash equilibria for S-equi-well-posed and (S, σ)-equi-well-posed games, namely, Theorems 3. In this paper we show that the assumptions of these theorems are actually not sufficient for the existence of Berge(More)