IDEAS home Printed from
   My bibliography  Save this paper

Bertrand-Edgeworth competition with substantial product differentiation


  • Robert Somogyi

    () (Ecole Polytechnique (ParisTech))


Since Kreps and Scheinkman's seminal article (1983) a large number of papers have analyzed capacity constraints' potential to relax price competition. However, the ensuing literature has assumed that products are either perfect or very close substitutes. Therefore none of the papers has investigated the interaction between capacity constraints and substantial local monopoly power. The aim of the present paper is to shed light on this question using a standard Hotelling setup. The high level of product dfferentiation results in a variety of equilibrium firm behavior and it generates at least one pure strategy equilibrium for any capacity level. Thus the presence of local monopoly power challenges one of the most general findings about Bertrand-Edgeworth competition: the non-existence of pure strategy equilibria for some capacity levels.

Suggested Citation

  • Robert Somogyi, 2013. "Bertrand-Edgeworth competition with substantial product differentiation," IEHAS Discussion Papers 1332, Institute of Economics, Centre for Economic and Regional Studies, Hungarian Academy of Sciences.
  • Handle: RePEc:has:discpr:1332

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. Thomas P. Lyon, 1999. "Quality Competition, Insurance, and Consumer Choice in Health Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 8(4), pages 546-580, December.
    2. Yin, Xiangkang, 2004. "Two-part tariff competition in duopoly," International Journal of Industrial Organization, Elsevier, vol. 22(6), pages 799-820, June.
    3. Koji Ishibashi & Toyokazu Kaneko, 2008. "Partial privatization in mixed duopoly with price and quality competition," Journal of Economics, Springer, vol. 95(3), pages 213-231, December.
    4. Canoy, Marcel, 1996. "Product Differentiation in a Bertrand-Edgeworth Duopoly," Journal of Economic Theory, Elsevier, vol. 70(1), pages 158-179, July.
    5. Lepore, Jason J., 2012. "Cournot outcomes under Bertrand–Edgeworth competition with demand uncertainty," Journal of Mathematical Economics, Elsevier, vol. 48(3), pages 177-186.
    6. Kurt R. Brekke & Robert Nuscheler & Odd Rune Straume, 2006. "Quality and Location Choices under Price Regulation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 15(1), pages 207-227, March.
    7. Esther Gal-Or, 1997. "Exclusionary Equilibria in Health-Care Markets," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 6(1), pages 5-43, March.
    8. de Frutos, María-Ángeles & Fabra, Natalia, 2011. "Endogenous capacities and price competition: The role of demand uncertainty," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 399-411, July.
    9. Acemoglu, Daron & Bimpikis, Kostas & Ozdaglar, Asuman, 2009. "Price and capacity competition," Games and Economic Behavior, Elsevier, vol. 66(1), pages 1-26, May.
    10. Xavier Wauthy, 1996. "Capacity constraints may restore the existence of an equilibrium in the Hotelling model," Journal of Economics, Springer, vol. 64(3), pages 315-324, October.
    Full references (including those not matched with items on IDEAS)


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

    Cited by:

    1. Hunold, Matthias & Hüschelrath, Kai & Laitenberger, Ulrich & Muthers, Johannes, 2017. "Competition, collusion and spatial sales patterns: Theory and evidence," ZEW Discussion Papers 17-035, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
    2. Muthers, Johannes & Hunold, Matthias, 2017. "Capacity constrained price competition with transportation costs," Annual Conference 2017 (Vienna): Alternative Structures for Money and Banking 168248, Verein für Socialpolitik / German Economic Association.
    3. Hunold, Matthias & Muthers, Johannes, 2017. "Capacity constraints, price discrimination, inefficient competition and subcontracting," DICE Discussion Papers 254, University of Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).

    More about this item


    Duopoly; Bertrand-Edgeworth competition; Hotelling; Capacity constraint;

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    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:has:discpr:1332. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Adrienn Foldi). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.