IDEAS home Printed from https://ideas.repec.org/p/cor/louvrp/2084.html
   My bibliography  Save this paper

Cournot equilibrium without apology: Existence and the Cournot inverse demand function

Author

Listed:
  • GRILO, Isabel
  • MERTENS, Jean-François

Abstract

In a multi-commodity framework with absence of wealth effects, we prove the existence of equilibrium for Cournot oligopoly, and that the concept is completely non-ambiguous. We also obtain a uniquely defined endogenous inverse demand function, depending only on the competitive sector.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • GRILO, Isabel & MERTENS, Jean-François, 2009. "Cournot equilibrium without apology: Existence and the Cournot inverse demand function," LIDAM Reprints CORE 2084, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:2084
    DOI: 10.1016/j.geb.2008.10.013
    Note: In : Games and Economic Behavior, 65(1), 142-175, 2009
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    2. d'Aspremont, C & Ferreira, R Dos Santos & Gerard-Varet, L-A, 1991. "Pricing Schemes and Cournotian Equilibria," American Economic Review, American Economic Association, vol. 81(3), pages 666-673, June.
    3. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July.
    4. Jones, Larry E, 1984. "A Competitive Model of Commodity Differentiation," Econometrica, Econometric Society, vol. 52(2), pages 507-530, March.
    5. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    6. Rader, Trout, 1972. "Theory of General Economic Equilibrium," Elsevier Monographs, Elsevier, edition 1, number 9780125750400.
    7. Danilov, V. I. & Sotskov, A. I., 1990. "A generalized economic equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(4), pages 341-356.
    8. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Oriol Carbonell-Nicolau & Richard P. McLean, 2018. "On the Existence of Nash Equilibrium in Bayesian Games," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 100-129, February.
    2. Cui, Herui & Wei, Pengbang, 2017. "Analysis of thermal coal pricing and the coal price distortion in China from the perspective of market forces," Energy Policy, Elsevier, vol. 106(C), pages 148-154.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ostroy, Joseph M & Zame, William R, 1994. "Nonatomic Economies and the Boundaries of Perfect Competition," Econometrica, Econometric Society, vol. 62(3), pages 593-633, May.
    2. Germano, Fabrizio, 2003. "Bertrand-edgeworth equilibria in finite exchange economies," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 677-692, July.
    3. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    4. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, August.
    5. Bosi, G. & Mehta, G. B., 2002. "Existence of a semicontinuous or continuous utility function: a unified approach and an elementary proof," Journal of Mathematical Economics, Elsevier, vol. 38(3), pages 311-328, November.
    6. Liao, Mouhua, 2016. "A market game with symmetric limit orders," Journal of Mathematical Economics, Elsevier, vol. 64(C), pages 66-76.
    7. Greinecker, Michael & Podczeck, Konrad, 2017. "Core equivalence with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 73(C), pages 54-67.
    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. Jean-Marc Bonnisseau & Matias Fuentes, 2022. "Increasing returns, externalities and equilibrium in Riesz spaces," Documents de travail du Centre d'Economie de la Sorbonne 22025, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    10. Dubey, Pradeep & Geanakoplos, John, 2003. "From Nash to Walras via Shapley-Shubik," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 391-400, July.
    11. Niccolò Urbinati & Marco Li Calzi, 2022. "Market allocations under conflation of goods," Working Papers 2022:05, Department of Economics, University of Venice "Ca' Foscari", revised 2024.
    12. Paul Oslington, 2012. "General Equilibrium: Theory and Evidence," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 446-448, September.
    13. Charalambos Aliprantis & Donald J. Brown & Owen Burkinshaw, 1986. "Edgeworth Equilibria in Production Economies," Cowles Foundation Discussion Papers 784, Cowles Foundation for Research in Economics, Yale University.
    14. Konovalov, Alexander & Marakulin, Valeri, 2006. "Equilibria without the survival assumption," Journal of Mathematical Economics, Elsevier, vol. 42(2), pages 198-215, April.
    15. 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.
    16. Massimo Motta & Michele Polo, "undated". "Product differentiation and endogenous mode of competition," Working Papers 134, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    17. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    18. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    19. Louis-André Gérard-Varet & Rodolphe Dos Santos Ferreira & Claude d'Aspremont, 1991. "Concurrence en prix et équilibres cournotiens," Revue Économique, Programme National Persée, vol. 42(6), pages 967-996.
    20. Konovalov, A. & Marakulin, V., 2001. "Equilibria Without the Survival Assumption : A Non-Standard Analysis Approach," Discussion Paper 2001-34, Tilburg University, Center for Economic Research.

    More about this item

    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:cor:louvrp:2084. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Alain GILLIS (email available below). General contact details of provider: https://edirc.repec.org/data/coreebe.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.