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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. Schipper, Burkhard C., 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 68, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    4. Schipper, Burkhard C., 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Bonn Econ Discussion Papers 35/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).
    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. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, Open Access Journal, 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.;

    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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