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In this paper, we first give an existence theorem of maximal elements for a new type of preference correspondences which are -majorized. Then some existence theorems for compact (resp., non-compact) qualitative games and generalized games in which the constraint or preference correspondences are -majorized (resp., Ψ-condensing) are obtained in locally convex topological vector spaces

international journal of mathematics and mathematical sciences

Maximal elements and equilibria of generalized games for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$\mathcal{U}$"><mml:mi>𝒰</mml:mi></mml:math>-majorized and condensing correspondences

Maximal elements and equilibria of generalized games for𝒰-majorized and condensing correspondences