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Mixed equilibria in games of strategic complementarities

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Author Info
Federico Echenique

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Abstract

The literature on games of strategic complementarities (GSC) has focused on pure strategies. I introduce mixed strategies and show that, when strategy spaces are one-dimensional, the complementarities framework extends to mixed strategies ordered by first-order stochastic dominance. In particular, the mixed extension of a GSC is a GSC, the full set of equilibria is a complete lattice and the extremal equilibria (smallest and largest) are in pure strategies. The framework does not extend when strategy spaces are multi-dimensional. I also update learning results for GSC using stochastic fictitious play. Copyright Springer-Verlag Berlin Heidelberg 2003

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File URL: http://hdl.handle.net/10.1007/s00199-002-0277-8
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Publisher Info
Article provided by Springer in its journal Economic Theory.

Volume (Year): 22 (2003)
Issue (Month): 1 (08)
Pages: 33-44
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Handle: RePEc:spr:joecth:v:22:y:2003:i:1:p:33-44

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Related research
Keywords: Keywords and Phrases: Supermodular games Strategic complementarities Mixed strategy equilibria Learning. JEL Classification Numbers: C72 C73.

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  1. 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)
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  2. Federico Echenique & Aaron Edlin, 2002. "Mixed Equilibria in Games of Strategic Complements Are Unstable," Department of Economics, Working Paper Series 1037, Department of Economics, Institute for Business and Economic Research, UC Berkeley. [Downloadable!]
    Other versions:
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