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Optimal Collusion under Cost Asymmetry

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Author Info
Miklos-Thal, Jeanine

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Abstract

Cost asymmetry is generally thought to hinder collusion because a more efficient firm has both more to gain from a deviation and less to fear from retaliation than less efficient firms. Our paper reexamines this conventional wisdom and characterizes optimal collusion without any prior restriction on the class of strategies. We first stress that firms can credibly agree on retaliation schemes that maximally punish even the most efficient firm. This implies that whenever collusion is sustainable under cost symmetry, some collusion is also sustainable under cost asymmetry; efficient collusion, however, remains more di¢ cult to sustain when costs are asymmetric. Finally, we show that, in the presence of side payments, cost asymmetry generally facilitates collusion.

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File URL: http://mpra.ub.uni-muenchen.de/11044/
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 11044.

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Date of creation: 2008
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Handle: RePEc:pra:mprapa:11044

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Related research
Keywords: horizontal collusion; cost asymmetry; optimal punishments; side payments;

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Find related papers by JEL classification:
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
L41 - Industrial Organization - - Antitrust Issues and Policies - - - Monopolization; Horizontal Anticompetitive Practices
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. Deneckere, R., 1989. "Capacity-Constrained Price Competition When Unit Costs Differ," Purdue University Economics Working Papers 958, Purdue University, Department of Economics.
  2. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June. [Downloadable!] (restricted)
  3. Kihlstrom, Richard & Vives, Xavier, 1992. "Collusion by Asymmetrically Informed Firms," Journal of Economics & Management Strategy, Blackwell Publishing, vol. 1(2), pages 371-96, Summer.
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  4. 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. [Downloadable!] (restricted)
  5. Lambson, Val Eugene, 1995. "Optimal penal codes in nearly symmetric Bertrand supergames with capacity constraints," Journal of Mathematical Economics, Elsevier, vol. 24(1), pages 1-22. [Downloadable!] (restricted)
  6. Jehiel, Philippe, 1992. "Product differentiation and price collusion," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 633-641, December. [Downloadable!] (restricted)
  7. Robert Porter, 2005. "Detecting Collusion," Review of Industrial Organization, Springer, vol. 26(2), pages 147-167, December. [Downloadable!] (restricted)
  8. Harrington, Joseph E, Jr, 1991. "The Determination of Price and Output Quotas in a Heterogeneous Cartel," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(4), pages 767-92, November. [Downloadable!] (restricted)
  9. Yossi Spiegel & David Gilo, 2004. "Partial cross ownership and tacit collusion," Econometric Society 2004 North American Summer Meetings 335, Econometric Society. [Downloadable!]
  10. Deneckere, R.J. & Kovenock, D., 1994. "Capacity Constrained Price Competition when Unit Costs Differ," Purdue University Economics Working Papers 1056, Purdue University, Department of Economics.
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  11. Dechenaux, Emmanuel & Kovenock, Dan, 2003. "Endogenous Rationing, Price Dispersion, and Collusion in Capacity Constrained Supergames," Purdue University Economics Working Papers 1164, Purdue University, Department of Economics. [Downloadable!]
  12. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer, vol. 8(1), pages 1-25.
  13. Lambson, Val Eugene, 1987. "Optimal Penal Codes in Price-Setting Supergames with Capacity Constraints," Review of Economic Studies, Blackwell Publishing, vol. 54(3), pages 385-97, July. [Downloadable!] (restricted)
  14. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-65, Autumn.
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  15. Davidson, Carl & Deneckere, Raymond J, 1990. "Excess Capacity and Collusion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 521-41, August. [Downloadable!] (restricted)
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  16. Helder Vasconcelos, 2005. "Tacit Collusion, Cost Asymmetries, and Mergers," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 39-62, Spring.
  17. Ivaldi, Marc & Jullien, Bruno & Rey, Patrick & Seabright, Paul & Tirole, Jean, 2003. "The Economics of Tacit Collusion," IDEI Working Papers 186, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  18. Susan Athey & Kyle Bagwell, 2007. "Collusion with Persistent Cost Shocks," Levine's Bibliography 321307000000000898, UCLA Department of Economics. [Downloadable!]
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  19. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January. [Downloadable!] (restricted)
  20. Roberts, Kevin, 1985. "Cartel Behaviour and Adverse Selection," Journal of Industrial Economics, Blackwell Publishing, vol. 33(4), pages 401-13, June. [Downloadable!] (restricted)
  21. Rothschild, R., 1999. "Cartel stability when costs are heterogeneous," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 717-734, July. [Downloadable!] (restricted)
  22. Cramton, Peter C & Palfrey, Thomas R, 1990. "Cartel Enforcement with Uncertainty about Costs," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(1), pages 17-47, February. [Downloadable!] (restricted)
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