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Strategic complementarities and search market equilibrium

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  • Rauh, Michael T.

Abstract

In this paper, we apply supermodular game theory to the equilibrium search literature with sequential search. We identify necessary and sufficient conditions for the pricing game to exhibit strategic complementarities and prove existence of equilibrium. We then show that price dispersion is inherently incompatible with strategic complementarities in the sense that the Diamond Paradox obtains when firms are identical and is robust within the class of search cost densities that are small near zero and support strategic complementarities. We also show that a major criticism of the literature, that agents act as if they know the distribution of prices, can be justified in the sense of convergent best response dynamics.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 66 (2009)
Issue (Month): 2 (July)
Pages: 959-978

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Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:959-978

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Web page: http://www.elsevier.com/locate/inca/622836

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Keywords: Diamond Paradox Price dispersion Search Strategic complementarities;

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References

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Cited by:
  1. Maris Goldmanis & Ali Hortacsu & Chad Syverson & Onsel Emre, 2008. "E-commerce and the Market Structure of Retail Industries," NBER Working Papers 14166, National Bureau of Economic Research, Inc.

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