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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 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 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. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  2. David Kreps & Robert Wilson, 1999. "Reputation and Imperfect Information," Levine's Working Paper Archive 238, David K. Levine.
  3. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 317-349.
  4. Paul Milgrom & John Roberts, 1980. "Predation, Reputation, and Entry Deterrence," Discussion Papers 427, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  6. Harold L. Cole & Narayana Kocherlakota, 1998. "Dynamic games with hidden actions and hidden states," Staff Report 254, Federal Reserve Bank of Minneapolis.
  7. Fudenberg, D. & Levine, D.K. & Maskin, E., 1989. "The Folk Theorem With Inperfect Public Information," Working papers 523, Massachusetts Institute of Technology (MIT), Department of Economics.
  8. 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.
  9. Green, Edward J. & Porter, Robert H., 1982. "Noncooperative Collusion Under Imperfect Price Information," Working Papers 367, California Institute of Technology, Division of the Humanities and Social Sciences.
  10. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
  11. Susan Athey & Kyle Bagwell, 1999. "Optimal Collusion with Private Information," Working papers 99-17, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Joel Watson, 1999. "Starting Small and Commitment," Cowles Foundation Discussion Papers 1217, Cowles Foundation for Research in Economics, Yale University.
  13. Skrzypacz, Andrzej & Hopenhayn, Hugo, 2004. "Tacit collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 114(1), pages 153-169, January.
  14. John McMillan, 1991. "Dango: Japan'S Price-Fixing Conspiracies," Economics and Politics, Wiley Blackwell, vol. 3(3), pages 201-218, November.
  15. Kennan, J., 1997. "Repeated Bargaining with Persistent Private Information," Working papers 9708, Wisconsin Madison - Social Systems.
  16. 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.
  17. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
  18. Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
  19. Laffont, Jean-Jacques & Tirole, Jean, 1988. "The Dynamics of Incentive Contracts," Econometrica, Econometric Society, vol. 56(5), pages 1153-75, September.
  20. Aoyagi, Masaki, 2003. "Bid rotation and collusion in repeated auctions," Journal of Economic Theory, Elsevier, vol. 112(1), pages 79-105, September.
  21. Michihiro Kandori & Ichiro Obara, 2003. "Efficiency in Repeated Games Revisited: The Role of Private Strategies," CIRJE F-Series CIRJE-F-255, CIRJE, Faculty of Economics, University of Tokyo.
  22. 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.
  23. Chakrabarti, Subir K., 2001. "Information Revelation and Collusion in Oligopolies with Unknown Costs," Working Papers 01-02, Cornell University, Center for Analytic Economics.
  24. Mailath, George J, 1989. "Simultaneous Signaling in an Oligopoly Model," The Quarterly Journal of Economics, MIT Press, vol. 104(2), pages 417-27, May.
  25. 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.
  26. Drew Fudenberg & Jean Tirole, 1991. "Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061414, June.
  27. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  28. 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.
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