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Collusion with persistent cost shocks

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  • Susan Athey

    ()
    (Stanford University - Department of Economics)

  • Kyle Bagwell

    ()
    (Department of Economics, Columbia University)

Abstract

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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Bibliographic Info

Paper provided by Columbia University, Department of Economics in its series Discussion Papers with number 0405-07.

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Length: 61 pages
Date of creation: 2004
Date of revision:
Handle: RePEc:clu:wpaper:0405-07

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  1. Kennan, John, 2001. "Repeated Bargaining with Persistent Private Information," Review of Economic Studies, Wiley Blackwell, vol. 68(4), pages 719-55, October.
  2. Milgrom, Paul & Roberts, John, 1982. "Predation, reputation, and entry deterrence," Journal of Economic Theory, Elsevier, vol. 27(2), pages 280-312, August.
  3. Harold L. Cole & Narayana Kocherlakota, 1998. "Dynamic games with hidden actions and hidden states," Staff Report 254, Federal Reserve Bank of Minneapolis.
  4. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," Review of Economic Studies, Wiley Blackwell, vol. 71(2), pages 317-349, 04.
  5. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  6. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
  7. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  8. Fudenberg, Drew & Levine, David I & Maskin, Eric, 1994. "The Folk Theorem with Imperfect Public Information," Econometrica, Econometric Society, vol. 62(5), pages 997-1039, September.
  9. Chaim Fershtman & Ariel Pakes, 2004. "Finite State Dynamic Games with Asymmetric Information: A Computational Framework," Harvard Institute of Economic Research Working Papers 2041, Harvard - Institute of Economic Research.
  10. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  11. Hopenhayn, Hugo A. & Skrzypacz, Andrzej, 2001. "Tacit Collusion in Repeated Auctions," Research Papers 1698r2, Stanford University, Graduate School of Business.
  12. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
  13. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, December.
  14. Mailath, George J, 1989. "Simultaneous Signaling in an Oligopoly Model," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 417-27, May.
  15. John McMillan, 1991. "Dango: Japan'S Price-Fixing Conspiracies," Economics and Politics, Wiley Blackwell, vol. 3(3), pages 201-218, November.
  16. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-99, June.
    • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
  17. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  18. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  19. Joel Watson, 1999. "Starting Small and Commitment," Cowles Foundation Discussion Papers 1217, Cowles Foundation for Research in Economics, Yale University.
  20. repec:wop:humbsf:2000-72 is not listed on IDEAS
  21. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1986. "Optimal cartel equilibria with imperfect monitoring," Journal of Economic Theory, Elsevier, vol. 39(1), pages 251-269, June.
  22. Michihiro Kandori & Ichiro Obara, 2006. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Econometrica, Econometric Society, vol. 74(2), pages 499-519, 03.
  23. Dilip Abreu & David Pearce, 2003. "A Behavioral Model of Bargaining with Endogenous Types," Cowles Foundation Discussion Papers 1446, Cowles Foundation for Research in Economics, Yale University.
  24. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-75, September.
  25. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
  26. Chakrabarti, Subir K., 2001. "Information Revelation and Collusion in Oligopolies with Unknown Costs," Working Papers 01-02, Cornell University, Center for Analytic Economics.
  27. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  28. de Roos, Nicolas, 2006. "Examining models of collusion: The market for lysine," International Journal of Industrial Organization, Elsevier, vol. 24(6), pages 1083-1107, November.
  29. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
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