IDEAS home Printed from https://ideas.repec.org/a/kap/theord/v95y2023i1d10.1007_s11238-022-09909-5.html
   My bibliography  Save this article

Cournot–Bertrand endogenous behavior in a differentiated oligopoly with entry deterrence

Author

Listed:
  • Duarte Brito

    (NOVA School of Science and Technology
    Universidade NOVA de Lisboa)

  • Margarida Catalão-Lopes

    (Universidade de Lisboa)

Abstract

This paper presents a new theoretical justification for the Cournot–Bertrand model to arise in equilibrium when firms have, at the outset, the same cost structure and sell symmetrically differentiated products. The Cournot–Bertrand model assumes some firms compete on price, adjusting their production to meet demand, while others set quantities and let their price adjust until market equilibrium is reached. We show that this may occur endogenously due to the possibility of entry, which may be deterred when some of the incumbents decide to set prices, while others free ride on this behavior and choose quantities.

Suggested Citation

  • Duarte Brito & Margarida Catalão-Lopes, 2023. "Cournot–Bertrand endogenous behavior in a differentiated oligopoly with entry deterrence," Theory and Decision, Springer, vol. 95(1), pages 55-78, July.
  • Handle: RePEc:kap:theord:v:95:y:2023:i:1:d:10.1007_s11238-022-09909-5
    DOI: 10.1007/s11238-022-09909-5
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11238-022-09909-5
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11238-022-09909-5?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, August.
    2. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Jacques Thépot, 2016. "Hawks and Doves in Segmented Markets: Profit Maximization with Varying Competitive Aggressiveness," Annals of Economics and Statistics, GENES, issue 121-122, pages 45-66.
    3. Yasuhiko Nakamura, 2017. "Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 56(2), pages 174-200, June.
    4. Mukherjee, Arijit, 2005. "Price and quantity competition under free entry," Research in Economics, Elsevier, vol. 59(4), pages 335-344, December.
    5. Miller, Nolan H & Pazgal, Amit I, 2001. "The Equivalence of Price and Quantity Competition with Delegation," RAND Journal of Economics, The RAND Corporation, vol. 32(2), pages 284-301, Summer.
    6. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    7. Chirco, Alessandra & Scrimitore, Marcella, 2013. "Choosing price or quantity? The role of delegation and network externalities," Economics Letters, Elsevier, vol. 121(3), pages 482-486.
    8. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2009. "Price-quantity competition with varying toughness," Games and Economic Behavior, Elsevier, vol. 65(1), pages 62-82, January.
    9. S. Askar, 2014. "On Cournot–Bertrand competition with differentiated products," Annals of Operations Research, Springer, vol. 223(1), pages 81-93, December.
    10. Tremblay, Carol Horton & Tremblay, Victor J., 2011. "The Cournot-Bertrand model and the degree of product differentiation," Economics Letters, Elsevier, vol. 111(3), pages 233-235, June.
    11. Carol Horton Tremblay & Victor J. Tremblay, 2019. "Oligopoly Games And The Cournot–Bertrand Model: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 33(5), pages 1555-1577, December.
    12. Junichi Haraguchi & Toshihiro Matsumura, 2016. "Cournot–Bertrand comparison in a mixed oligopoly," Journal of Economics, Springer, vol. 117(2), pages 117-136, March.
    13. Michael Kopel & Eva Maria Putz, 2021. "Information sharing in a Cournot–Bertrand duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1645-1655, October.
    14. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    15. Yasuhiko Nakamura, 2017. "Price versus Quantity in a Duopolistic Market with Bargaining over Managerial Delegation Contracts," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 38(3), pages 326-343, April.
    16. Michael Kopel, 2015. "Price and Quantity Contracts in a Mixed Duopoly with a Socially Concerned Firm," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 36(8), pages 559-566, December.
    17. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    18. Cellini, Roberto & Lambertini, Luca & Ottaviano, Gianmarco I. P., 2004. "Welfare in a differentiated oligopoly with free entry: a cautionary note," Research in Economics, Elsevier, vol. 58(2), pages 125-133, June.
    19. Judy Hsu & X. Wang, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(2), pages 185-191, September.
    20. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    21. Markus Reisinger & Ludwig Ressner, 2009. "The Choice of Prices versus Quantities under Uncertainty," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(4), pages 1155-1177, December.
    22. Victor J. Tremblay & Carol Horton Tremblay & Kosin Isariyawongse, 2013. "Endogenous Timing And Strategic Choice: The Cournot-Bertrand Model," Bulletin of Economic Research, Wiley Blackwell, vol. 65(4), pages 332-342, October.
    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. Bian, Junsong & Lai, Kin Keung & Hua, Zhongsheng & Zhao, Xuan & Zhou, Guanghui, 2018. "Bertrand vs. Cournot competition in distribution channels with upstream collusion," International Journal of Production Economics, Elsevier, vol. 204(C), pages 278-289.
    2. José Méndez‐Naya & José A. Novo‐Peteiro, 2023. "Partial privatization with endogenous choice of strategic variable," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(2), pages 1215-1227, March.
    3. Michael Kopel & Eva Maria Putz, 2021. "Information sharing in a Cournot–Bertrand duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1645-1655, October.
    4. Ryo Hashizume & Tatsuhiko Nariu, 2020. "Price and quantity competition with network externalities: Endogenous choice of strategic variables," Manchester School, University of Manchester, vol. 88(6), pages 847-865, December.
    5. Jiaqi Chen & Sang‐Ho Lee, 2023. "Cournot–Bertrand comparisons under R&D competition: Output versus R&D subsidies," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(1), pages 77-100, March.
    6. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Variables in an Asymmetric Duopoly with Respect to the Demand Functions that Firms Face," Manchester School, University of Manchester, vol. 83(5), pages 546-567, September.
    7. Yasuhiko Nakamura, 2017. "Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 56(2), pages 174-200, June.
    8. Duarte Brito & Margarida Catalão-Lopes, 2023. "Profit raising entry under mixed behavior," Journal of Economics, Springer, vol. 138(1), pages 51-72, January.
    9. Luciano Fanti & Nicola Meccheri, 2015. "On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 54(4), pages 266-287, December.
    10. Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
    11. Joaquín Andaluz & Gloria Jarne, 2016. "Stability of vertically differentiated Cournot and Bertrand-type models when firms are boundedly rational," Annals of Operations Research, Springer, vol. 238(1), pages 1-25, March.
    12. Olga Rozanova, 2017. "The possibility to renegotiate the contracts and the equilibrium mode of competition in vertically related markets," Economics Bulletin, AccessEcon, vol. 37(3), pages 1573-1580.
    13. John Gilbert & Onur A. Koska & Reza Oladi, 2022. "International trade, differentiated goods, and strategic asymmetry," Southern Economic Journal, John Wiley & Sons, vol. 88(3), pages 1178-1198, January.
    14. Nakamura, Yasuhiko, 2015. "Endogenous choice of strategic incentives in a mixed duopoly with a new managerial delegation contract for the public firm," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 262-277.
    15. Luciano Fanti & Marcella Scrimitore, 2019. "How to Compete? Cournot versus Bertrand in a Vertical Structure with an Integrated Input Supplier," Southern Economic Journal, John Wiley & Sons, vol. 85(3), pages 796-820, January.
    16. Yasuhiko Nakamura, 2018. "Endogenous Market Structures in the Presence of a Socially Responsible Firm," Journal of Industry, Competition and Trade, Springer, vol. 18(3), pages 319-348, September.
    17. John Gilbert & Onur A. Koska & Reza Oladi, 2023. "Foreign market entry, upstream market power, and endogenous mode of downstream competition," Review of International Economics, Wiley Blackwell, vol. 31(1), pages 341-362, February.
    18. Chang Ray-Yun & Hu Jin-Li & Lin Yan-Shu, 2018. "The Choice of Prices versus Quantities under Outsourcing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-20, July.
    19. Din, Hong-Ren & Sun, Chia-Hung, 2020. "Welfare improving licensing with endogenous choice of prices versus quantities," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    20. Koichi Kagitani & Takao Ohkawa & Makoto Okamura, 2016. "Does the Excess Entry Theorem Hold in a Differentiated Oligopoly?," Manchester School, University of Manchester, vol. 84(3), pages 340-362, June.

    More about this item

    Keywords

    Cournot–Bertrand oligopoly; Entry deterrence; Product differentiation;
    All these keywords.

    JEL classification:

    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    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:kap:theord:v:95:y:2023:i:1:d:10.1007_s11238-022-09909-5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.