# GENERALIZATIONS OF THE NASH EQUILIBRIUM THEOREM ON GENERALIZED CONVEX SPACES

• Park, Se-Hie (Department of Mathematics, Seoul National University)
• 발행 : 2001.07.01
• 77 4

#### 초록

Generalized forms of the von neumann-Sion type minimax theorem, the Fan-Ma intersection theorem, the Fan-a type analytic alternative, and the Nash-Ma equilibrium theorem hold for generalized convex spaces without having any linear structure.

#### 키워드

generalized convex(G-convex) space;${\Phi}$-map;$\Gamma$-convex hull;minimax theorem;intersection theorem;analytic alternative;equilibrium theorem

#### 참고문헌

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