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Collusion with Persistent Cost Shocks

  • Susan Athey
  • Kyle Bagwell

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 trade-off 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. 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. Copyright Copyright 2008 by The Econometric Society.

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Paper provided by UCLA Department of Economics in its series Levine's Bibliography with number 122247000000000334.

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Date of creation: 01 Sep 2004
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Handle: RePEc:cla:levrem:122247000000000334
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  1. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Drew Fudenberg & David K. Levine & Eric Maskin, 1994. "The Folk Theorem with Imperfect Public Information," Levine's Working Paper Archive 2058, David K. Levine.
  3. 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.
  4. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
  5. Paul Milgrom & John Roberts, 1997. "Predation, reputation , and entry deterrence," Levine's Working Paper Archive 1460, David K. Levine.
  6. Kyle Bagwell, 2004. "Collusion and Price Rigidity," Theory workshop papers 658612000000000081, UCLA Department of Economics.
  7. Kennan, John, 2001. "Repeated Bargaining with Persistent Private Information," Review of Economic Studies, Wiley Blackwell, vol. 68(4), pages 719-55, October.
  8. Michihiro Kandori & Ichiro Obara, 2004. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," Levine's Bibliography 122247000000000055, UCLA Department of Economics.
  9. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
  10. 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.
  11. Kreps, David M. & Wilson, Robert, 1982. "Reputation and imperfect information," Journal of Economic Theory, Elsevier, vol. 27(2), pages 253-279, August.
  12. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  13. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
  14. Chakrabarti, Subir K., 2001. "Information Revelation and Collusion in Oligopolies with Unknown Costs," Working Papers 01-02, Cornell University, Center for Analytic Economics.
  15. 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.
  16. Harold L. Cole & Narayana R. Kocherlakota, 1997. "Dynamic games with hidden actions and hidden states," Working Papers 583, Federal Reserve Bank of Minneapolis.
  17. Fernandes, Ana & Phelan, Christopher, 2000. "A Recursive Formulation for Repeated Agency with History Dependence," Journal of Economic Theory, Elsevier, vol. 91(2), pages 223-247, April.
  18. 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.
  19. Ariel Pakes & Chaim Fershtman, 2004. "Finite State Dynamic Games with Asymmetric Information: A Computational Framework," 2004 Meeting Papers 41, Society for Economic Dynamics.
  20. D. Abreu & F. Gul, 1998. "Bargaining and Reputation," Princeton Economic Theory Papers 00s9, Economics Department, Princeton University.
  21. Hopenhayn, Hugo A. & Skrzypacz, Andrzej, 2001. "Tacit Collusion in Repeated Auctions," Research Papers 1698r2, Stanford University, Graduate School of Business.
  22. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  23. Watson, Joel, 2002. "Starting Small and Commitment," Games and Economic Behavior, Elsevier, vol. 38(1), pages 176-199, January.
  24. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  25. Mailath, George J, 1989. "Simultaneous Signaling in an Oligopoly Model," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 417-27, May.
  26. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  27. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-75, September.
  28. John McMillan, 1991. "Dango: Japan'S Price-Fixing Conspiracies," Economics and Politics, Wiley Blackwell, vol. 3(3), pages 201-218, November.
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