Acyclic versions of the von Neumann and Nash equilibrium theorems
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摘要
Applying a fixed point theorem for compact compositions of acyclic maps, we obtain acyclic versions of the von Neumann intersection theorem, the minimax theorem, the Nash equilibrium theorem, and others.
论文关键词:primary 90A14,47H10,secondary 54C60,55M20,Multimap (map),Closed map,Compact map,Upper semicontinuous (u.s.c.),Lower semicontinuous (l.s.c.),Kakutani map,Acyclic map,Berge's theorem,von Neumann intersection theorem,Quasi-variational inequality,Nash equilibrium
论文评审过程:Received 9 September 1998, Available online 17 December 1999.
论文官网地址:https://doi.org/10.1016/S0377-0427(99)00246-0