IDEAS home Printed from https://ideas.repec.org/a/oup/restud/v54y1987i1p47-62..html
   My bibliography  Save this article

Approximate Bertrand Equilibria in a Replicated Industry

Author

Listed:
  • Huw Dixon

Abstract

This paper considers the existence and properties of approximate Bertrand equilibria in a replicated industry. Price setting firms produce a homogeneous product with weakly convex costs. The main results are that: (a) Given ɛ > 0, an ɛ-equilibrium exists if the industry is large enough; (b) If the ɛ is small enough, and the industry large enough, any ɛ-equilibrium is approximately competitive. These results depend on how contingent demand is specified.

Suggested Citation

  • Huw Dixon, 1987. "Approximate Bertrand Equilibria in a Replicated Industry," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 47-62.
    • Handle: RePEc:oup:restud:v:54:y:1987:i:1:p:47-62.
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.2307/2297445
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
    2. Chowdhury, Prabal Roy, 1999. "Bertrand-Edgeworth equilibria with unobservable output, uncoordinated consumers and large number of firms," Economics Letters, Elsevier, vol. 63(2), pages 207-211, May.
    3. Roy Chowdhury, Prabal, 2008. "Bertrand-Edgeworth equilibrium with a large number of firms," International Journal of Industrial Organization, Elsevier, vol. 26(3), pages 746-761, May.
    4. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "A general model of price competition with soft capacity constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(1), pages 95-120, July.
    5. Chowdhury, Prabal Roy, 2003. "Bertrand-Edgeworth equilibrium large markets with non-manipulable residual demand," Economics Letters, Elsevier, vol. 79(3), pages 371-375, June.
    6. García Díaz, Antón & Hernán González, Roberto & Kujal, Praveen, 2009. "List pricing and discounting in a Bertrand-Edgeworth duopoly," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 719-727, November.
    7. García Díaz, Antón & Kujal, Praveen, 1998. "List princing and pure strategy outcomes in a bertrand edgeworth duopoly," UC3M Working papers. Economics 6089, Universidad Carlos III de Madrid. Departamento de Economía.
    8. Raymond J. Deneckere & Dan Kovenock, 1992. "Price Leadership," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 143-162.
      • Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    9. Gad Allon & Itai Gurvich, 2010. "Pricing and Dimensioning Competing Large-Scale Service Providers," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 449-469, August.
    10. Hirata, Daisuke, 2008. "Bertrand-Edgeworth Equilibrium in Oligopoly," MPRA Paper 7946, University Library of Munich, Germany.
    11. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium: Manipulable residual demand," Discussion Papers 04-15, Indian Statistical Institute, Delhi.
    12. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium with a large number of firms," Discussion Papers 04-12, Indian Statistical Institute, Delhi.
    13. Canoy, Marcel & Weddepohl, Claus, 1995. "Alternative conjectures in a Bertrand-Edgeworth model," European Journal of Political Economy, Elsevier, vol. 11(3), pages 577-598, September.
    14. Waddle, Roberts, 2005. "Strategic profit sharing between firms: the bertrand model," UC3M Working papers. Economics we050902, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Buechel, Berno & Klein, Jan, 2014. "Do Consumers' Preferences Really Matter? - A Note on Spatial Competition with Restricted Strategies," MPRA Paper 55288, University Library of Munich, Germany.
    16. Gad Allon & Achal Bassamboo & Eren B. Çil, 2012. "Large-Scale Service Marketplaces: The Role of the Moderating Firm," Management Science, INFORMS, vol. 58(10), pages 1854-1872, October.
    17. Tasnádi, Attila, 2001. "A Bertrand-Edgeworth-oligopóliumok. Irodalmi áttekintés [Bertrand-Edgeworth oligopolies - a survey of the literature]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(12), pages 1081-1092.
    18. Qi Feng & Yuanchen Li & J. George Shanthikumar, 2020. "Competitive Revenue Management with Sequential Bargaining," Production and Operations Management, Production and Operations Management Society, vol. 29(5), pages 1307-1324, May.
    19. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29, CPB Netherlands Bureau for Economic Policy Analysis.
    20. Marcel Canoy & S. Onderstal, 2003. "Tight oligopolies: in search of proportionate remedies," CPB Document 29.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    21. Oksana Loginova, 2022. "Price competition online: Platforms versus branded websites," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 31(2), pages 259-283, April.

    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:oup:restud:v:54:y:1987:i:1:p:47-62.. 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: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/restud .

    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.