We consider a dynamic Bertrand game, in which prices are publicly observed and each firm receives a privately observed cost shock in each period. Although cost shocks are independent across firms, within a firm costs follow a first-order Markov process. We analyze the set of collusive equilibria available to firms, emphasizing the best collusive scheme for the firms at the start of the game. In general, there is a tradeoff between productive efficiency, whereby the low-cost firm serves the market in a given period, and high prices. We show that when costs are perfectly correlated over time within a firm, if the distribution of costs is log concave and firms are sufficiently patient, then the optimal collusive scheme entails price rigidity: firms set the same price and share the market equally, regardless of their respective costs. Productive efficiency can be achieved in equilibrium under some circumstances, but such equilibria are not optimal. When serial correlation of costs is imperfect, partial productive efficiency is optimal. For the case of two cost types, first-best collusion is possible if the firms are patient relative to the persistence of cost shocks, but not otherwise. We present numerical examples of first-best collusive schemes.
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Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number
0405-07.
References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Susan Athey & Kyle Bagwell & Chris Sanchirico, 1998.
"Collusion and Price Rigidity,"
Working papers
98-23, Massachusetts Institute of Technology (MIT), Department of Economics.
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McAfee, R Preston & McMillan, John, 1992.
"Bidding Rings,"
American Economic Review,
American Economic Association, vol. 82(3), pages 579-99, June.
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Other versions:
McAfee, R. Preston & McMillan, John., 1990.
"Bidding Rings,"
Working Papers
726, California Institute of Technology, Division of the Humanities and Social Sciences.
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Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Susan Athey & Kyle Bagwell & Chris Sanchirico, 1998.
"Collusion and Price Rigidity,"
Working papers
98-23, Massachusetts Institute of Technology (MIT), Department of Economics.
Etienne Billette de Villemeur & Laurent Flochel & Bruno Versaevel, 2009.
"Optimal Collusion with Limited Severity Constraint,"
Working Papers
0909, Groupe d'Analyse et de Théorie Economique (GATE), Centre national de la recherche scientifique (CNRS), Université Lyon 2, Ecole Normale Supérieure.
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