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Competition for market share or for market size : Oligopolistic equilibria with varying competitive 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)

  • Louis-André Gérard-Varet

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

Abstract

For an industry producing a composite commodity, we propose a comprehensive concept of oligopolistic equilibrium, allowing for a parameterized continuum of regimes varying in competitive toughness. Each firm sets simultaneously its price and its quantity under two constraints, relative to its market share and to market size. The price and the quantity equilibrium outcomes always belong to the set of oligopolistic equilibria. When firms are identical and we let their number increase, any sequence of symmetric oligopolistic equilibria converges to the monopolistic competition outcome. Further results are derived in the symmetric CES case, concerning in particular the collusive solution enforceability.

Suggested Citation

  • Claude d'Aspremont & Rodolphe dos Santos Ferreira & Louis-André Gérard-Varet, 2004. "Competition for market share or for market size : Oligopolistic equilibria with varying competitive toughness," Post-Print hal-00279224, HAL.
    • Handle: RePEc:hal:journl:hal-00279224
    DOI: 10.1111/j.1468-2354.2007.00444.x
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    Cited by:

    1. Laurent Linnemer, 2022. "Doubling Back on Double Marginalization," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 61(1), pages 1-19, August.
    2. Claude d’Aspremont & Rodolphe Dos Santos Ferreira, 2016. "Oligopolistic vs. monopolistic competition: Do intersectoral effects matter?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 62(1), pages 299-324, June.
    3. 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.
    4. 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.
    5. 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).
    6. 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.
    7. Claude D'Aspremont & Rodolphe Dos Santos Ferreira & Louis‐André Gérard‐Varet, 2010. "Strategic R&D investment, competitive toughness and growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 6(3), pages 273-295, September.
    8. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2007. "Free entry equilibria with positive profits: A unified approach to quantity and price competition games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(2), pages 75-94, June.
    9. Marina S. Sandomirskaia, 2015. "Price-Quantity Competition of Farsighted Firms: Toughness vs. Collusion," HSE Working papers WP BRP 93/EC/2015, National Research University Higher School of Economics.
    10. 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.
    11. 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.
    12. 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.
    13. Alberto Bucci & Philip Ushchev, 2016. "Specialization vs Competition: An Anatomy of Increasing Returns to Scale," HSE Working papers WP BRP 134/EC/2016, National Research University Higher School of Economics.
    14. d’Aspremont, Claude & Dos Santos Ferreira, Rodolphe, 2017. "The Dixit–Stiglitz economy with a ‘small group’ of firms: A simple and robust equilibrium markup formula," Research in Economics, Elsevier, vol. 71(4), pages 729-739.
    15. Etro, Federico, 2017. "Research in economics and monopolistic competition," Research in Economics, Elsevier, vol. 71(4), pages 645-649.
    16. Silveira, Douglas & Vasconcelos, Silvinha, 2020. "Essays on duopoly competition with asymmetric firms: Is profit maximization always an evolutionary stable strategy?," International Journal of Production Economics, Elsevier, vol. 225(C).
    17. Marina Sandomirskaia, 2019. "Nash-2 Equilibrium: Selective Farsightedness Under Uncertain Response," Group Decision and Negotiation, Springer, vol. 28(2), pages 275-304, April.
    18. Flavio M. Menezes & John Quiggin, 2020. "The Strategic Industry Supply Curve," Journal of Industrial Economics, Wiley Blackwell, vol. 68(3), pages 523-555, September.

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