On the existence of pure strategy Nash equilibria in two person discrete games
We construct a generalized two-person discrete strategy static game of complete information where continuity, convexity and compactness cannot be invoked to show the existence of pure strategy Nash equilibrium. We show that, when best responses are unique from both sides, a condition of Minimal Acyclicity is necessary and sufficient for the existence of pure strategy Nash equilibria.
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"On the Existence of Pure Strategy Nash Equilibria in Large Games,"
FEUNL Working Paper Series
wp487, Universidade Nova de Lisboa, Faculdade de Economia.
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