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Stability of cartels in Multimarket Cournot oligopolies

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  • Subhadip Chakrabarti
  • Robert P. Gilles
  • Emiliya Lazarova

Abstract

We investigate the stability of cooperation agreements, such as those agreed by cartels, among firms in a Cournot model of oligopolistic competition embedded in a multimarket contact setting. Our analysis considers a broad array of 64 potential market structural configurations under linear demand and quadratic production costs. We establish that for an appropriate range of parameter values there exists a unique core stable market configuration in which an identical two‐firm cartel is sustained in both markets. Our result highlights the significance of multimarket presence for cartel formation in light of the well‐known result from the single‐market setting where cartels are non‐profitable.

Suggested Citation

  • Subhadip Chakrabarti & Robert P. Gilles & Emiliya Lazarova, 2021. "Stability of cartels in Multimarket Cournot oligopolies," Manchester School, University of Manchester, vol. 89(1), pages 70-85, January.
  • Handle: RePEc:bla:manchs:v:89:y:2021:i:1:p:70-85
    DOI: 10.1111/manc.12349
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    1. Parkash Chander & Henry Tulkens, 2006. "The Core of an Economy with Multilateral Environmental Externalities," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 153-175, Springer.
    2. Christophe Bravard & Sudipta Sarangi & PASCAL BILLAND & CHRISTOPHE BRAVARD & SUBHADIP CHAKRABARTI & SUDIPTA SARANGI, 2016. "Business Intelligence and Multimarket Competition," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(2), pages 248-267, April.
    3. Harvey E. Lapan & David A. Hennessy, 2011. "Unit versus Ad Valorem Taxes in Multiproduct Cournot Oligopoly," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 13(1), pages 125-138, February.
    4. Belleflamme, Paul & Bloch, Francis, 2008. "Sustainable collusion on separate markets," Economics Letters, Elsevier, vol. 99(2), pages 384-386, May.
    5. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
    6. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    7. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    8. 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.
    9. Sang-Seung Yi, 2003. "Endogenous formation of economic coalitions: a survey of the partition function approach," Chapters, in: Carlo Carraro (ed.), The Endogenous Formation of Economic Coalitions, chapter 3, Edward Elgar Publishing.
    10. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    11. Zhang, Anming & Zhang, Yimin, 1996. "Stability of a Cournot-Nash equilibrium: The multiproduct case," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 441-462.
    12. Yi, Sang-Seung & Shin, Hyukseung, 2000. "Endogenous formation of research coalitions with spillovers," International Journal of Industrial Organization, Elsevier, vol. 18(2), pages 229-256, February.
    13. Perry, Martin K & Porter, Robert H, 1985. "Oligopoly and the Incentive for Horizontal Merger," American Economic Review, American Economic Association, vol. 75(1), pages 219-227, March.
    14. Bogomolnaia, Anna & Jackson, Matthew O., 2002. "The Stability of Hedonic Coalition Structures," Games and Economic Behavior, Elsevier, vol. 38(2), pages 201-230, February.
    15. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(1), pages 135-153.
    16. Takaaki Abe & Yukihiko Funaki, 2017. "The non-emptiness of the core of a partition function form game," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(3), pages 715-736, August.
    17. Francis Bloch, 2002. "Coalitions and Networks in Industrial Organization," Manchester School, University of Manchester, vol. 70(1), pages 36-55, January.
    18. Zu, Lei & Zhang, Jin & Wang, Shouyang, 2012. "The size of stable cartels: An analytical approach," International Journal of Industrial Organization, Elsevier, vol. 30(2), pages 217-222.
    19. Carraro,Carlo & Siniscalco,Domenico (ed.), 1997. "New Directions in the Economic Theory of the Environment," Cambridge Books, Cambridge University Press, number 9780521590891, September.
    20. 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.
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    1. Robert P. Gilles & Lina Mallozzi & Roberta Messalli, 2023. "Emergent Collaboration in Social Purpose Games," Dynamic Games and Applications, Springer, vol. 13(2), pages 566-588, June.

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