IDEAS home Printed from https://ideas.repec.org/p/ctl/louvre/2013044.html
   My bibliography  Save this paper

Noncooperative Oligopoly in Markets with a Cobb-Douglas Continuum of Traders

Author

Listed:
  • Giulio CODOGNATO

    (Università degli Studi di Udine, Dipartimento di Scienze Economiche e Statistiche)

  • Ludovic A. JULIEN

    (Université de Dijon LEG)

Abstract

In this paper, we revisit two models of noncooperative oligopoly in general equilibrium proposed by Busetto et al. (2008, 2011), a version of Shapley’s “window” model for mixed exchange economies following Shitovitz and its reformulation following Cournot-Walras. We introduce the assumption that the preferences of traders belonging to the atomless portion are represented by Cobb-Douglas utility functions. This assumption permits us to prove the existence of a Cournot-Nash equilibrium in Shapley’s window model, known as the Cobb-Douglas-Cournot-Nash equilibrium, without introducing further assumptions of atom endowments and preferences previously used by Busetto et al. (2011). We then show that the set of Cobb-Douglas-Cournot-Nash equilibrium allocations coincides with that of Cournot-Walras equilibrium.

Suggested Citation

  • Giulio CODOGNATO & Ludovic A. JULIEN, 2013. "Noncooperative Oligopoly in Markets with a Cobb-Douglas Continuum of Traders," Discussion Papers (REL - Recherches Economiques de Louvain) 2013044, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    • Handle: RePEc:ctl:louvre:2013044
    Note: Special Issue : Recent Developments in Strategic Interactions and General Equilibrium
    as

    Download full text from publisher

    File URL: http://www.jstor.org/stable/42771214
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Roy H Grieve, 2013. "An issue with own-rates: Keynes borrows from Sraffa , Sraffa criticises Keynes, and present-day commentators get hold of the wrong end of the stick," Working Papers 1319, University of Strathclyde Business School, Department of Economics.
    2. Alex Dickson, 2013. "On Cobb-Douglas Preferences in Bilateral Oligopoly," Recherches économiques de Louvain, De Boeck Université, vol. 79(4), pages 89-110.
    3. Busetto, Francesca & Codognato, Giulio & Ghosal, Sayantan & Julien, Ludovic & Tonin, Simone, 2018. "Noncooperative oligopoly in markets with a continuum of traders and a strongly connected set of commodities," Games and Economic Behavior, Elsevier, vol. 108(C), pages 478-485.
    4. Alex Dickson & Simone Tonin, 2021. "An introduction to perfect and imperfect competition via bilateral oligopoly," Journal of Economics, Springer, vol. 133(2), pages 103-128, July.
    5. S. S. Askar & A. Al-khedhairi, 2019. "Cournot Duopoly Games: Models and Investigations," Mathematics, MDPI, vol. 7(11), pages 1-15, November.

    More about this item

    Keywords

    Strategic market games; Noncooperative oligopoly; Atoms; Atomless part;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ctl:louvre:2013044. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sebastien SCHILLINGS (email available below). General contact details of provider: https://edirc.repec.org/data/iruclbe.html .

    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.