IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-01950057.html
   My bibliography  Save this paper

On the difficulty of collusion in the presence of a more efficient outsider

Author

Listed:
  • Guillaume Cheikbossian

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - FRE2010 - INRA - Institut National de la Recherche Agronomique - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Philippe Mahenc

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - FRE2010 - INRA - Institut National de la Recherche Agronomique - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

We study the ability of several identical firms to collude in the presence of a more efficient firm, which does not take part in their collusive agreement. The cartel firms adopt stick-and-carrot strategies, while the efficient firm plays its one-period best-response function, regardless of the history of play. We characterize the most collusive symmetric punishment, which maximizes the scope for collusion. We then find that either a lower cost disadvantage or a smaller cartel size facilitates collusion. Finally, we compare our results with those obtained in the standard setup where all firms participate in the collusive agreement.

Suggested Citation

  • Guillaume Cheikbossian & Philippe Mahenc, 2018. "On the difficulty of collusion in the presence of a more efficient outsider," Post-Print hal-01950057, HAL.
    • Handle: RePEc:hal:journl:hal-01950057
    DOI: 10.1628/093245617X15120238641839
    Note: View the original document on HAL open archive server: https://hal.umontpellier.fr/hal-01950057
    as

    Download full text from publisher

    File URL: https://hal.umontpellier.fr/hal-01950057/document
    Download Restriction: no
    File URL: https://libkey.io/10.1628/093245617X15120238641839?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Gilbert, Christopher L., 1996. "International Commodity Agreements: An obituary notice," World Development, Elsevier, vol. 24(1), pages 1-19, January.
    4. Marc Escrihuela-Villar, 2008. "On endogenous cartel size under tacit collusion," Investigaciones Economicas, Fundación SEPI, vol. 32(3), pages 325-338, September.
    5. Rothschild, R., 1999. "Cartel stability when costs are heterogeneous," International Journal of Industrial Organization, Elsevier, vol. 17(5), pages 717-734, July.
    6. Iwan Bos & Joseph E. Harrington, Jr, 2010. "Endogenous cartel formation with heterogeneous firms," RAND Journal of Economics, RAND Corporation, vol. 41(1), pages 92-117, March.
    7. Abreu, Dilip, 1986. "Extremal equilibria of oligopolistic supergames," Journal of Economic Theory, Elsevier, vol. 39(1), pages 191-225, June.
    8. Helder Vasconcelos, 2005. "Tacit Collusion, Cost Asymmetries, and Mergers," RAND Journal of Economics, The RAND Corporation, vol. 36(1), pages 39-62, Spring.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    2. António Brandão & Joana Pinho & Hélder Vasconcelos, 2014. "Asymmetric Collusion with Growing Demand," Journal of Industry, Competition and Trade, Springer, vol. 14(4), pages 429-472, December.
    3. Mariana Cunha & Paula Sarmento, 2014. "Does Vertical Integration Promote Downstream Incomplete Collusion? An Evaluation of Static and Dynamic Stability," Journal of Industry, Competition and Trade, Springer, vol. 14(1), pages 1-38, March.
    4. Leonardo Madio & Aldo Pignataro, 2022. "Collusion sustainability with a capacity constrained firm," "Marco Fanno" Working Papers 0295, Dipartimento di Scienze Economiche "Marco Fanno".
    5. Leonardo Madio & Aldo Pignataro, 2022. "Collusion Sustainability with a Capacity Constrained Firm," CESifo Working Paper Series 10170, CESifo.
    6. Emilie Dargaud, 2006. "Mergers and collusion with asymmetric capacities," Post-Print halshs-00140138, HAL.
    7. 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.
    8. Labrecciosa Paola & Colombo Luca, 2010. "Technology Uncertainty and Market Collusion," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-17, March.
    9. Brito, Duarte & Ribeiro, Ricardo & Vasconcelos, Helder, 2018. "Quantifying the coordinated effects of partial horizontal acquisitions," European Economic Review, Elsevier, vol. 110(C), pages 108-149.
    10. Etienne Billette de Villemeur & Laurent Flochel & Bruno Versaevel, 2013. "Optimal collusion with limited liability," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(3), pages 203-227, September.
    11. Hattori, Keisuke, 2021. "Profit-Sharing vs Price-Fixing Collusion with Heterogeneous Firms," MPRA Paper 110800, University Library of Munich, Germany.
    12. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    13. Filipa Mota & João Correia-da-Silva & Joana Pinho, 2023. "Public–Private Collusion," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 62(4), pages 393-417, June.
    14. Lenhard, Severin, 2024. "Cartel Stability in Times of Low Interest Rates," VfS Annual Conference 2024 (Berlin): Upcoming Labor Market Challenges 302361, Verein für Socialpolitik / German Economic Association.
    15. Etienne Billette de Villemeur & Laurent Flochel & Bruno Versaevel, 2009. "Optimal Collusion with Limited Severity Constraint," Post-Print halshs-00375798, HAL.
    16. Helmuts Azacis & David R Collie, 2018. "Taxation and the sustainability of collusion: ad valorem versus specific taxes," Journal of Economics, Springer, vol. 125(2), pages 173-188, October.
    17. Davies, Stephen & Olczak, Matthew & Coles, Heather, 2011. "Tacit collusion, firm asymmetries and numbers: Evidence from EC merger cases," International Journal of Industrial Organization, Elsevier, vol. 29(2), pages 221-231, March.
    18. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
    19. Stephen Davies & Matthew Olczak & Heather Coles, 2007. "Tacit collusion, firm asymmetries and numbers: evidence from EC merger cases," Working Paper series, University of East Anglia, Centre for Competition Policy (CCP) 2007-07, Centre for Competition Policy, University of East Anglia, Norwich, UK..
    20. Tomaso Duso & Lars-Hendrik Röller & Jo Seldeslachts, 2014. "Collusion Through Joint R&D: An Empirical Assessment," The Review of Economics and Statistics, MIT Press, vol. 96(2), pages 349-370, May.

    More about this item

    Keywords

    cost asymmetry; optimal punishments; outsider; repeated game; tacit collusion;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:hal-01950057. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.