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

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Federico Echenique

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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

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File URL: http://hdl.handle.net/10.1007/s00199-002-0337-0
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 22 (2003)
Issue (Month): 4 (November)
Pages: 903-905
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Handle: RePEc:spr:joecth:v:22:y:2003:i:4:p:903-905

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

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  1. Durieu, Jacques & Haller, Hans & Solal, Philippe, 2005. "Interaction on Hypergraphs," Sonderforschungsbereich 504 Publications 05-34, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  2. Burkhard C. Schipper, 2005. "The Evolutionary Stability of Optimism, Pessimism and Complete Ignorance," Bonn Econ Discussion Papers bgse35_2005, University of Bonn, Germany. [Downloadable!]
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  3. Jacques Durieu & Hans Haller & Philippe Solal, 2004. "Nonspecific Networking," Game Theory and Information 0403005, EconWPA. [Downloadable!]
  4. Sunanda Roy & Tarun Sabarwal, 2008. "On the (non-)lattice structure of the equilibrium set in games with strategic substitutes," Economic Theory, Springer, vol. 37(1), pages 161-169, October. [Downloadable!] (restricted)
    Other versions:
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