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Stable cartel configurations and product differentiation: The case of multiple cartels

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  • Khan, Abhimanyu
  • Peeters, Ronald

Abstract

We develop a framework to analyse stable cartelisation when firms can form multiple cartels. This contrasts with the existing literature which generally assumes, without further justification, that at most one cartel may form. We define cartelisation to be stable in the multiple cartels framework if: (i) a firm in a cartel does not find it more profitable to leave the cartel and operate independently, (ii) a firm that operates independently does not find it more profitable to join an existing cartel, (iii) a firm in a cartel does not find it more profitable to join another existing cartel or form a new cartel with an independent firm, and (iv) two independent firms do not find it more profitable to form a new cartel. In the context of quantity competition in differentiated markets, we show that a single cartel is never stable whenever multiple cartels may be formed. We completely characterise the stable cartelisation structure — there is at most one firm that is not a part of any cartel while each of the remaining firms is part of a two-firm cartel. The implication for competition policy is that efforts towards the detection of cartels should also be directed at smaller cartels that may operate in less concentrated markets rather than only on large dominant cartels in concentrated markets.

Suggested Citation

  • Khan, Abhimanyu & Peeters, Ronald, 2024. "Stable cartel configurations and product differentiation: The case of multiple cartels," Mathematical Social Sciences, Elsevier, vol. 132(C), pages 57-68.
    • Handle: RePEc:eee:matsoc:v:132:y:2024:i:c:p:57-68
    DOI: 10.1016/j.mathsocsci.2024.09.004
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    1. Luca Lambertini & Giuseppe Pignataro & Alessandro Tampieri, 2022. "Competition among coalitions in a cournot industry: a validation of the porter hypothesis," The Japanese Economic Review, Springer, vol. 73(4), pages 679-713, October.
    2. Majerus, David W., 1988. "Price vs. quantity competition in oligopoly supergames," Economics Letters, Elsevier, vol. 27(3), pages 293-297.
    3. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    4. Ross, Thomas W., 1992. "Cartel stability and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 10(1), pages 1-13, March.
    5. Stephen W. Salant & Sheldon Switzer & Robert J. Reynolds, 1983. "Losses From Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(2), pages 185-199.
    6. Iwan Bos & Marco A. Marini, 2022. "Collusion in quality‐segmented markets," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 293-323, April.
    7. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    8. Francis Bloch, 1995. "Endogenous Structures of Association in Oligopolies," RAND Journal of Economics, The RAND Corporation, vol. 26(3), pages 537-556, Autumn.
    9. Claude d'Aspremont & Alexis Jacquemin & Jean Jaskold Gabszewicz & John A. Weymark, 1983. "On the Stability of Collusive Price Leadership," Canadian Journal of Economics, Canadian Economics Association, vol. 16(1), pages 17-25, February.
    10. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    11. Deneckere, R., 1983. "Duopoly supergames with product differentiation," Economics Letters, Elsevier, vol. 11(1-2), pages 37-42.
    12. Lommerud, Kjell Erik & Sorgard, Lars, 1997. "Merger and product range rivalry," International Journal of Industrial Organization, Elsevier, vol. 16(1), pages 21-42, November.
    13. Curtis Eaton & Mukesh Eswaran, 1998. "Endogenous Cartel Formation," Australian Economic Papers, Wiley Blackwell, vol. 37(1), pages 1-13, March.
    14. Omkar D. Palsule-Desai, 2015. "Complete Versus Partial Collusion in Competing Coalitions," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 17(01), pages 1-43.
    15. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    16. M. P. Espinosa & E. Inarra, 2000. "Von Neumann And Morgenstern Stable Sets In A Cournot Merger System," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 29-45.
    17. Morton I. Kamien & Israel Zang, 1990. "The Limits of Monopolization Through Acquisition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(2), pages 465-499.
    18. Francis Bloch, 2002. "Coalitions and Networks in Industrial Organization," Manchester School, University of Manchester, vol. 70(1), pages 36-55, January.
    19. Larry D. Qiu & Wen Zhou, 2007. "Merger waves: a model of endogenous mergers," RAND Journal of Economics, RAND Corporation, vol. 38(1), pages 214-226, March.
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