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Competition for market share or for market size: oligopolistic equilibria with varying competitive toughness

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  • d’ASPREMONT, Claude
  • DOS SANTOS FERREIRA, Rodolphe
  • GERARD-VARET, Louis-André
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.
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Suggested Citation

  • d’ASPREMONT, Claude & DOS SANTOS FERREIRA, Rodolphe & GERARD-VARET, Louis-André, 2007. "Competition for market share or for market size: oligopolistic equilibria with varying competitive toughness," LIDAM Reprints CORE 1973, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:1973
    DOI: 10.1111/j.1468-2354.2007.00444.x
    Note: In : International Economic Review, 48(3), 2007
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    Cited by:

    1. Claude d’Aspremont & Rodolphe Dos Santos Ferreira, 2009. "Household behavior and individual autonomy," Working Papers of BETA 2009-17, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    2. Laurent Linnemer, 2022. "Doubling Back on Double Marginalization," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 61(1), pages 1-19, August.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    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. Etro, Federico, 2017. "Research in economics and monopolistic competition," Research in Economics, Elsevier, vol. 71(4), pages 645-649.
    10. 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.
    11. 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.
    12. Flavio M. Menezes & John Quiggin, 2020. "The Strategic Industry Supply Curve," Journal of Industrial Economics, Wiley Blackwell, vol. 68(3), pages 523-555, September.
    13. 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.
    14. 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).
    15. 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.
    16. Marina Sandomirskaia, 2019. "Nash-2 Equilibrium: Selective Farsightedness Under Uncertain Response," Group Decision and Negotiation, Springer, vol. 28(2), pages 275-304, April.
    17. 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.
    18. 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.

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