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Nash equilibria of quasisupermodular games

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  • Lu Yu

Abstract

We prove three results on the existence and structure of Nash equilibria for quasisupermodular games. A theorem is purely order-theoretic, and the other two involve topological hypotheses. Our topological results genralize Zhou's theorem (for supermodular games) and Calciano's theorem.

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  • Lu Yu, 2024. "Nash equilibria of quasisupermodular games," Papers 2406.13783, arXiv.org.
    • Handle: RePEc:arx:papers:2406.13783
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    1. Prokopovych, Pavlo & Yannelis, Nicholas C., 2017. "On strategic complementarities in discontinuous games with totally ordered strategies," Journal of Mathematical Economics, Elsevier, vol. 70(C), pages 147-153.
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    11. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-1277, November.
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    13. Lu Yu, 2024. "Existence and structure of Nash equilibria for supermodular games," Papers 2406.09582, arXiv.org.
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    Cited by:

    1. Lu Yu, 2024. "Order-theoretical fixed point theorems for correspondences and application in game theory," Papers 2407.18582, arXiv.org.
    2. Lu Yu, 2024. "Generalization of Zhou fixed point theorem," Papers 2407.17884, arXiv.org.
    3. Lu Yu, 2024. "Nash equilibria of games with generalized complementarities," Papers 2407.00636, arXiv.org.

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