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On Nash equilibria inN-person games over reflexive Banach spaces
Authors:J Yu
Institution:(1) Institute of Applied Mathematics, Guizhou Institute of Technology, Guiyang, Guizhou, People's Republic of China
Abstract:In this note, an extended version of the Ky Fan inequality is obtained for reflexive Banach spaces. As an application of the result, it is proved that Nash equilibrium points exist under weaker conditions than those of Williams (Ref. 1).
Keywords:N-person games  Nash equilibrium  reflexive Banach spaces  Ky Fan inequality
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