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Exploiting separability in a multisectoral model of oligopolistic competition

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 - AgroParisTech - UNISTRA - Université de Strasbourg - Université de Haute-Alsace (UHA) - Université de Haute-Alsace (UHA) Mulhouse - Colmar - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, Catolica Lisbon School of Business And Economics - Partenaires INRAE)

Abstract

The paper uses the most general version of a Dixit–Stiglitz economy and the concept of oligopolistic equilibrium, defined in previous work, with firms maximizing profits in prices and quantities under a market share and a market size constraint. The purpose here is to take even more advantage of separability so as to partition the oligopolistic sector into groups. Weak separability simplifies quantity conjectures and homothetic separability simplifies price conjectures. Oligopolistic equilibria can in addition be approximated by introducing group expenditure conjectures. Finally, the way different groups interact within the same industry is illustrated within the same framework.

Suggested Citation

  • Claude d'Aspremont & Rodolphe dos Santos Ferreira, 2020. "Exploiting separability in a multisectoral model of oligopolistic competition," Post-Print hal-03213018, HAL.
    • Handle: RePEc:hal:journl:hal-03213018
    DOI: 10.1016/j.mathsocsci.2020.01.009
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    References listed on IDEAS

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    2. Jacques-François Thisse & Philip Ushchev, 2018. "Monopolistic competition without apology," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume I, chapter 5, pages 93-136, Edward Elgar Publishing.
    3. Evgeny Zhelobodko & Sergey Kokovin & Mathieu Parenti & Jacques‐François Thisse, 2012. "Monopolistic Competition: Beyond the Constant Elasticity of Substitution," Econometrica, Econometric Society, vol. 80(6), pages 2765-2784, November.
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    13. 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.
    14. Nevo, Aviv, 1998. "Identification of the oligopoly solution concept in a differentiated-products industry," Economics Letters, Elsevier, vol. 59(3), pages 391-395, June.
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    16. 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.
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    Cited by:

    1. Ronald R. Kumar & Peter J. Stauvermann, 2020. "Economic and Social Sustainability: The Influence of Oligopolies on Inequality and Growth," Sustainability, MDPI, vol. 12(22), pages 1-23, November.

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    More about this item

    Keywords

    Oligopolistic competition; Multisector economies; Aggregation of price and quantity; Conjectures;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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