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The equilibrium set of two-player games with complementarities is a sublattice

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  • Federico Echenique

Abstract

I prove that the equilibrium set in a two-player game with complementarities, and totally ordered strategy spaces, is a sublattice of the joint strategy space. Copyright Springer-Verlag Berlin Heidelberg 2003

Suggested Citation

  • Federico Echenique, 2003. "The equilibrium set of two-player games with complementarities is a sublattice," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 903-905, November.
    • Handle: RePEc:spr:joecth:v:22:y:2003:i:4:p:903-905
    DOI: 10.1007/s00199-002-0337-0
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    Citations

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    Cited by:

    1. Philippe Solal & Jacques Durieu, 2005. "Interaction on Hypergraphs," Post-Print hal-00375568, HAL.
    2. Echenique, Federico, 2004. "A characterization of strategic complementarities," Games and Economic Behavior, Elsevier, vol. 46(2), pages 325-347, February.
    3. Anne-Christine Barthel & Eric Hoffmann, 2024. "On ordered equilibria in games with increasing best responses," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 12(2), pages 191-198, December.
    4. Burkhard C. Schipper, 2021. "The evolutionary stability of optimism, pessimism, and complete ignorance," Theory and Decision, Springer, vol. 90(3), pages 417-454, May.
    5. Sunanda Roy & Tarun Sabarwal, 2008. "On the (non-)lattice structure of the equilibrium set in games with strategic substitutes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 161-169, October.
    6. Anne-Christine Barthel & Eric Hoffmann, 2019. "Rationalizability and learning in games with strategic heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(3), pages 565-587, April.
    7. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, vol. 2(1), pages 1-27, February.

    More about this item

    Keywords

    Keywords and Phrases: Supermodular games; Strategic complementarities; Tarski's fixed point theorem; Lattice.; JEL Classification Numbers: C62; C72.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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