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A Characterization of Strategic Complementarities

Federico Echenique

No E01-299, Economics Working Papers from University of California at Berkeley

Abstract: I characterize games for which there is an order on strategies such that the game has strategic complementarities. I prove that, with some qualifications, games with a unique equilibrium have complementarities if and only if Cournot best-response dynamics has no cycles; and that all games with multiple equilibria have complementarities. This is a negative result because it implies that the predictive power of complementarities alone is very weak. As an application of my results I show that generic 2 X 2 games either have no pure-strategy equilibria, or are GSC.

Date: 2001-04-01
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Journal Article: A characterization of strategic complementarities (2004) Downloads
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