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Price-quantity competition with varying toughness

Author

Listed:
  • Claude d'Aspremont

    (CORE - Center of Operation Research and Econometrics [Louvain] - UCL - Université Catholique de Louvain = Catholic University of Louvain)

  • Rodolphe dos Santos Ferreira

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique, IUF - Institut universitaire de France - M.E.N.E.S.R. - Ministère de l'Education nationale, de l’Enseignement supérieur et de la Recherche)

Abstract

For an industry producing a single homogeneous good, we define and characterize the concept of oligopolistic equilibrium, allowing for a parameterized continuum of regimes with varying competitive toughness. This parameterization will appear to be equivalent to the one used in the empirical literature. The Cournot and the competitive outcomes coincide, respectively, with the softest and the toughest oligopolistic equilibrium outcome. The concept offers an alternative to the conjectural variations approach with better foundations. It can be viewed as a canonical description of oligopolistic behavior which can receive different theoretical justifications and provide a convenient tool for modeling purposes. Two illustrative cases (linear and isoelastic demands) are developed and the possibility of endogenizing (strategically) the choice of competitive toughness by the firms is examined.

Suggested Citation

  • Claude d'Aspremont & Rodolphe dos Santos Ferreira, 2006. "Price-quantity competition with varying toughness," Post-Print hal-00279265, HAL.
    • Handle: RePEc:hal:journl:hal-00279265
    DOI: 10.1016/j.geb.2008.03.001
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    2. Claude d’Aspremont & Rodolphe Dos Santos Ferreira, 2014. "Household behavior and individual autonomy: an extended Lindahl mechanism," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(3), pages 643-664, April.
    3. Cornand, Camille & Dos Santos Ferreira, Rodolphe, 2020. "Cooperation in a differentiated duopoly when information is dispersed: A beauty contest game with endogenous concern for coordination," Mathematical Social Sciences, Elsevier, vol. 106(C), pages 101-111.
    4. d’ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe, 2009. "Household behavior and individual autonomy," LIDAM Discussion Papers CORE 2009022, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. 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.
    6. Farm, Ante, 2013. "Price Formation in Consumer Markets," Working Paper Series 1/2013, Stockholm University, Swedish Institute for Social Research.
    7. Jacques Thépot, 2021. "Pricing algorithms in oligopoly with decreasing returns," Theory and Decision, Springer, vol. 91(4), pages 493-515, November.
    8. Escrihuela-Villar Marc, 2016. "On Merger Profitability and the Intensity of Rivalry," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 16(2), pages 1203-1212, April.
    9. Bos, Iwan & Vermeulen, Dries, 2021. "On pure-strategy Nash equilibria in price–quantity games," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    10. Victor J. Tremblay, 2025. "CEO bias and the degree of industry competition," Journal of Management & Governance, Springer;Accademia Italiana di Economia Aziendale (AIDEA), vol. 29(1), pages 175-191, March.
    11. Claude, DASPREMONT & Rodolphe, DOS SANTOS FERREIRA & Jacques, THEPOT, 2007. "Hawks and doves in segmented markets : a formal approach to competitive aggressiveness," Discussion Papers (ECON - Département des Sciences Economiques) 2007039, Université catholique de Louvain, Département des Sciences Economiques.
    12. Camille Cornand & Rodolphe dos Santos Ferreira, 2015. "Playing the Game the others want to play: Keynes’ beauty contest revisited," Post-Print halshs-01147056, HAL.
    13. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2013. "The empirical content of Cournot competition," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1552-1581.
    14. d'Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2010. "Oligopolistic competition as a common agency game," Games and Economic Behavior, Elsevier, vol. 70(1), pages 21-33, September.
    15. Jacques THEPOT, 2018. "Pricing algorithms in oligopoly: theory and antitrust implications," Working Papers of LaRGE Research Center 2018-04, Laboratoire de Recherche en Gestion et Economie (LaRGE), Université de Strasbourg.
    16. Robert A. Ritz, 2018. "Oligopolistic competition and welfare," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 7, pages 181-200, Edward Elgar Publishing.
    17. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    18. Ushchev, Philip & Zenou, Yves, 2018. "Price competition in product variety networks," Games and Economic Behavior, Elsevier, vol. 110(C), pages 226-247.
    19. Rodolphe Dos Santos Ferreira & Teresa Lloyd-Braga & Leonor Modesto, 2016. "Could competition always raise the risk of bank failure?," Working Papers of BETA 2016-27, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    20. Rodolphe Dos Santos Ferreira, 2021. "When Muth’s entrepreneurs meet Schrödinger’s cat," Revue d'économie politique, Dalloz, vol. 131(3), pages 449-459.

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