IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-14-00729.html
   My bibliography  Save this article

Cournot Equilibrium Uniqueness in Case of Concave Industry Revenue: a Simple Proof

Author

Listed:
  • Pierre von Mouche

    (Wageningen Universiteit)

  • Federico Quartieri

    (Universita degli studi di Napoli Federico II)

Abstract

A simple proof of an equilibrium uniqueness result by Murphy, Sherali and Soyster for homogeneous Cournot oligopolies with concave industry revenue function and convex cost functions is provided. Adapting this proof, a substantial improvement of their result is obtained; the improvement concerns capacity constraints, non-differentiable cost functions and industry revenue functions that are discontinuous at 0.

Suggested Citation

  • Pierre von Mouche & Federico Quartieri, 2015. "Cournot Equilibrium Uniqueness in Case of Concave Industry Revenue: a Simple Proof," Economics Bulletin, AccessEcon, vol. 35(2), pages 1299-1305.
    • Handle: RePEc:ebl:ecbull:eb-14-00729
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2015/Volume35/EB-15-V35-I2-P131.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Watts, Alison, 1996. "On the Uniqueness of Equilibrium in Cournot Oligopoly and Other Games," Games and Economic Behavior, Elsevier, vol. 13(2), pages 269-285, April.
    2. Pierre von Mouche & Federico Quartieri, 2013. "On the uniqueness of Cournot equilibrium in case of concave integrated price flexibility," Journal of Global Optimization, Springer, vol. 57(3), pages 707-718, November.
    3. Ewerhart, Christian, 2014. "Cournot games with biconcave demand," Games and Economic Behavior, Elsevier, vol. 85(C), pages 37-47.
    4. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    5. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    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. Quartieri, Federico, 2017. "Are vessel sharing agreements pro-competitive?," Economics of Transportation, Elsevier, vol. 11, pages 33-48.

    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. Magnus Hoffmann & Grégoire Rota‐Graziosi, 2020. "Endogenous timing in the presence of non‐monotonicities," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 53(1), pages 359-402, February.
    2. Alex Dickson & Roger Hartley, 2013. "Bilateral oligopoly and quantity competition," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(3), pages 979-1004, April.
    3. Takeshi Yamazaki, 2009. "The uniqueness of pure-strategy Nash equilibrium in rent-seeking games with risk-averse players," Public Choice, Springer, vol. 139(3), pages 335-342, June.
    4. Xu, Jin & Zenou, Yves & Zhou, Junjie, 2022. "Equilibrium characterization and shock propagation in conflict networks," Journal of Economic Theory, Elsevier, vol. 206(C).
    5. Zenou, Yves & Xu, Jin & Zhou, Junjie, 2019. "Networks in Conflict: A Variational Inequality Approach," CEPR Discussion Papers 13647, C.E.P.R. Discussion Papers.
    6. Peter Hubert Mathieu Mouche & Ferenc Szidarovszky, 2023. "Aggregative Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 196(3), pages 1056-1092, March.
    7. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," Economics Discussion Paper Series 0514, Economics, The University of Manchester.
    8. Rodney Beard, 2015. "N-Firm Oligopoly With General Iso-Elastic Demand," Bulletin of Economic Research, Wiley Blackwell, vol. 67(4), pages 336-345, October.
    9. Ciwei Dong & Liu Yang & Chi To Ng, 2020. "Quantity Leadership for a Dual-Channel Supply Chain with Retail Service," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 37(02), pages 1-32, March.
    10. Kyung Hwan Baik & Subhasish M. Chowdhury & Abhijit Ramalingam, 2021. "Group size and matching protocol in contests," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(4), pages 1716-1736, November.
    11. Kaplow, Louis & Shapiro, Carl, 2007. "Antitrust," Handbook of Law and Economics, in: A. Mitchell Polinsky & Steven Shavell (ed.), Handbook of Law and Economics, edition 1, volume 2, chapter 15, pages 1073-1225, Elsevier.
    12. McCarthy, Ian M., 2016. "Advertising intensity and welfare in an equilibrium search model," Economics Letters, Elsevier, vol. 141(C), pages 20-26.
    13. Rodrigo J. Harrison & Roberto Munoz, 2003. "Stability and Equilibrium Selection in a Link Formation Game," Game Theory and Information 0306004, University Library of Munich, Germany.
    14. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 1-18.
    15. Paulo Brito & Bipasa Datta & Huw Dixon, 2011. "The evolution of mixed conjectures in the rent-extraction game," Discussion Papers 11/06, Department of Economics, University of York.
    16. Joseph E. Harrington, Jr., 2004. "Cartel Pricing Dynamics in the Presence of an Antitrust Authority," RAND Journal of Economics, The RAND Corporation, vol. 35(4), pages 651-673, Winter.
    17. Hoffmann, Magnus & Kolmar, Martin, 2017. "Distributional preferences in probabilistic and share contests," Journal of Economic Behavior & Organization, Elsevier, vol. 142(C), pages 120-139.
    18. Lapo Filistrucchi & Tobias J. Klein, 2013. "Price Competition in Two-Sided Markets with Heterogeneous Consumers and Network Effects," Working Papers 13-20, NET Institute.
    19. MITRAILLE Sébastien & MOREAUX Michel, 2007. "Inventories and Endogenous Stackelberg Hierarchy in Two-period Cournot Oligopoly," LERNA Working Papers 07.02.223, LERNA, University of Toulouse.
    20. Alexandre de Corniere, 2013. "Search Advertising," Economics Series Working Papers 649, University of Oxford, Department of Economics.

    More about this item

    Keywords

    Concave industry revenue; Cournot oligopoly; equilibrium uniqueness;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:ebl:ecbull:eb-14-00729. 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: John P. Conley (email available below). General contact details of provider: .

    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.