Characterization of the existence of a pure-strategy Nash equilibrium

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Abstract

In this work, we provide a necessary and sufficient condition for the existence of a pure-strategy Nash equilibrium for non-cooperative games in topological spaces.

Keywords

Pure strategy
Nash equilibrium
Non-cooperative game
C-quasiconcavity
Diagonal transfer continuity

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This project was supported by the National Natural Science Foundation of China (10571081) and the Natural Science Foundation of Beijing Education Department (KM200710772007).