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Optimal Collusion under Cost Asymmetry

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  • Miklos-Thal, Jeanine

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.

Suggested Citation

  • Miklos-Thal, Jeanine, 2008. "Optimal Collusion under Cost Asymmetry," MPRA Paper 11044, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:11044
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    1. Val Eugene Lambson, 1987. "Optimal Penal Codes in Price-setting Supergames with Capacity Constraints," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(3), pages 385-397.
    2. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    3. McAfee, R Preston & McMillan, John, 1992. "Bidding Rings," American Economic Review, American Economic Association, vol. 82(3), pages 579-599, June.
      • McAfee, R. Preston & McMillan, John., 1990. "Bidding Rings," Working Papers 726, California Institute of Technology, Division of the Humanities and Social Sciences.
    4. Kihlstrom, Richard & Vives, Xavier, 1992. "Collusion by Asymmetrically Informed Firms," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 1(2), pages 371-396, Summer.
    5. 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.
    6. 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.
    7. Blume, Andreas, 2003. "Bertrand without fudge," Economics Letters, Elsevier, vol. 78(2), pages 167-168, February.
    8. Jehiel, Philippe, 1992. "Product differentiation and price collusion," International Journal of Industrial Organization, Elsevier, vol. 10(4), pages 633-641, December.
    9. Robert Porter, 2005. "Detecting Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 26(2), pages 147-167, December.
    10. Raymond J. Deneckere & Dan Kovenock, 1988. "Capacity-Constrained Price Competition When Unit Costs Differ," Discussion Papers 861, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    11. Yossi Spiegel & David Gilo, 2004. "Partial cross ownership and tacit collusion," Econometric Society 2004 North American Summer Meetings 335, Econometric Society.
    12. Emmanuel Dechenaux & Dan Kovenock, 2011. "Endogenous rationing, price dispersion and collusion in capacity constrained supergames," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 29-74, May.
    13. James W. Friedman, 1971. "A Non-cooperative Equilibrium for Supergames," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 38(1), pages 1-12.
    14. 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 521-541, August.
    15. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
    16. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 1-25.
    17. Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
    18. Jeanine Miklós-Thal, 2011. "Optimal collusion under cost asymmetry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 99-125, January.
    19. 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.
    20. David Collie, 2004. "Sustaining Collusion With Asymmetric Costs," Royal Economic Society Annual Conference 2004 155, Royal Economic Society.
    21. Compte, Olivier & Jenny, Frederic & Rey, Patrick, 2002. "Capacity constraints, mergers and collusion," European Economic Review, Elsevier, vol. 46(1), pages 1-29, January.
    22. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, May.
    23. 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.
    24. Deneckere, R., 1989. "Capacity-Constrained Price Competition When Unit Costs Differ," Purdue University Economics Working Papers 958, Purdue University, Department of Economics.
    25. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    26. 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 767-792, November.
    27. 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.
    28. Mailath, George J. & Samuelson, Larry, 2006. "Repeated Games and Reputations: Long-Run Relationships," OUP Catalogue, Oxford University Press, number 9780195300796.
    29. Martin Pesendorfer, 2000. "A Study of Collusion in First-Price Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 381-411.
    30. Helder Vasconcelos, 2005. "Tacit Collusion, Cost Asymmetries, and Mergers," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 39-62, Spring.
    31. Roberts, Kevin, 1985. "Cartel Behaviour and Adverse Selection," Journal of Industrial Economics, Wiley Blackwell, vol. 33(4), pages 401-413, June.
    32. Rothschild, R., 1999. "Cartel stability when costs are heterogeneous," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 717-734, July.
    33. Joe S. Bain, 1948. "Output Quotas in Imperfect Cartels," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 62(4), pages 617-622.
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    More about this item

    Keywords

    horizontal collusion; cost asymmetry; optimal punishments; side payments;
    All these keywords.

    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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