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Optimal Collusion with Limited Liability and Policy Implications

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  • Flochel, Laurent
  • Versaevel, Bruno
  • de Villemeur, Étienne

Abstract

Collusion sustainability depends on firms’ aptitude to impose sufficiently severe punishments in case of deviation from the collusive rule. We characterize the ability of oligopolistic firms to implement a collusive strategy when their ability to punish deviations over one or several periods is limited by a severity constraint. It captures all situations in which either structural conditions (the form of payoff functions), institutional circumstances (a regulation), or financial considerations (profitability requirements) set a lower bound to firms’ losses. The model specifications encompass the structural assumptions (A1-A3) in Abreu (1986) [Journal of Economic Theory, 39, 191-225]. The optimal punishment scheme is characterized, and the expression of the lowest discount factor for which collusion can be sustained is computed, that both depend on the status of the severity constraint. This extends received results from the literature to a large class of models that include a severity constraint, and uncovers the role of structural parameters that facilitate collusion by relaxing the constraint.

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Bibliographic Info

Paper provided by Institut d'Économie Industrielle (IDEI), Toulouse in its series IDEI Working Papers with number 547.

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Date of creation: Mar 2009
Date of revision: Jul 2011
Handle: RePEc:ide:wpaper:11169

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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. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
  3. Lambson Val Eugene, 1994. "Some Results on Optimal Penal Codes in Asymmetric Bertrand Supergames," Journal of Economic Theory, Elsevier, vol. 62(2), pages 444-468, April.
  4. Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 54(3), pages 385-97, July.
  5. Susan Athey & Kyle Bagwell & Chris Sanchirico, 1998. "Collusion and Price Rigidity," Working papers 98-23, Massachusetts Institute of Technology (MIT), Department of Economics.
  6. Robert Gagné & Simon van Norden & Bruno Versaevel, 2006. "Testing Optimal Punishment Mechanisms under Price Regulation: the Case of the Retail Market for Gasoline," Cahiers de recherche 06-12, HEC Montréal, Institut d'économie appliquée.
  7. Malcolm Baker & Jeremy C. Stein & Jeffrey Wurgler, 2003. "When Does The Market Matter? Stock Prices And The Investment Of Equity-Dependent Firms," The Quarterly Journal of Economics, MIT Press, vol. 118(3), pages 969-1005, August.
  8. Osterdal, Lars Peter, 2003. "A note on the stability of collusion in differentiated oligopolies," Research in Economics, Elsevier, vol. 57(1), pages 53-64, March.
  9. B. Douglas Bernheim & Michael D. Whinston, 1990. "Multimarket Contact and Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 1-26, Spring.
  10. Edward J Green & Robert H Porter, 1997. "Noncooperative Collusion Under Imperfect Price Information," Levine's Working Paper Archive 1147, David K. Levine.
  11. Hackner, Jonas, 1996. "Optimal symmetric punishments in a Bertrand differentiated products duopoly," International Journal of Industrial Organization, Elsevier, vol. 14(5), pages 611-630, July.
  12. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
  13. Friedman, James W, 1971. "A Non-cooperative Equilibrium for Supergames," Review of Economic Studies, Wiley Blackwell, vol. 38(113), pages 1-12, January.
  14. Lambertini, L. & Sasaki, D., 1998. "Non-Negative Quantity Constraints and the Duration of Punishment," Department of Economics - Working Papers Series 630, The University of Melbourne.
  15. Rotemberg, Julio J & Saloner, Garth, 1986. "A Supergame-Theoretic Model of Price Wars during Booms," American Economic Review, American Economic Association, vol. 76(3), pages 390-407, June.
  16. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March.
  17. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, 05.
  18. Wernerfelt, Birger, 1989. "Tacit collusion in differentiated cournot games," Economics Letters, Elsevier, vol. 29(4), pages 303-306.
  19. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
  20. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
  21. Majerus, David W., 1988. "Price vs. quantity competition in oligopoly supergames," Economics Letters, Elsevier, vol. 27(3), pages 293-297.
  22. George Symeonidis, 2003. "In Which Industries is Collusion More Likely? Evidence from the UK," Journal of Industrial Economics, Wiley Blackwell, vol. 51(1), pages 45-74, 03.
  23. Abreu, Dilip, 1988. "On the Theory of Infinitely Repeated Games with Discounting," Econometrica, Econometric Society, vol. 56(2), pages 383-96, March.
  24. Hackner, Jonas, 1994. "Collusive pricing in markets for vertically differentiated products," International Journal of Industrial Organization, Elsevier, vol. 12(2), pages 155-177, June.
  25. Lambertini, Luca & Sasaki, Dan, 2001. "Marginal costs and collusive sustainability," Economics Letters, Elsevier, vol. 72(1), pages 117-120, July.
  26. Chang, Myong-Hun, 1991. "The effects of product differentiation on collusive pricing," International Journal of Industrial Organization, Elsevier, vol. 9(3), pages 453-469, September.
  27. Motta,Massimo, 2004. "Competition Policy," Cambridge Books, Cambridge University Press, number 9780521016919, November.
  28. Rothschild, R., 1999. "Cartel stability when costs are heterogeneous," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 717-734, July.
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