The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice

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Abstract

A Tarski-type fixed point theorem for an ascending correspondence on a complete lattice is proved and then applied to show that the set of Nash equilibria of a supermodular game is a complete lattice. Journal of Economic Literature Classification Number: C70, C72. © 1994 Academic Press. All rights reserved.

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Zhou, L. (1994). The Set of Nash Equilibria of a Supermodular Game Is a Complete Lattice. Games and Economic Behavior, 7(2), 295–300. https://doi.org/10.1006/game.1994.1051

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