IDEAS home Printed from https://ideas.repec.org/p/cem/doctra/369.html
   My bibliography  Save this paper

Bertrand and Price-Taking Equilibria in Markets with Product Differentiation

Author

Listed:
  • Germán Coloma

Abstract

In this paper we show that a homogeneous-product market with multiple Bertrand equilibria becomes a market with a single Bertrand equilibrium when we introduce a small degree of product differentiation. When differentiation tends to zero, that Bertrand equilibrium converges to the unique price-taking equilibrium of the homogeneous-product market, which is in turn one of the multiple Bertrand equilibria for that market.

Suggested Citation

  • Germán Coloma, 2008. "Bertrand and Price-Taking Equilibria in Markets with Product Differentiation," CEMA Working Papers: Serie Documentos de Trabajo. 369, Universidad del CEMA.
  • Handle: RePEc:cem:doctra:369
    as

    Download full text from publisher

    File URL: https://www.ucema.edu.ar/publicaciones/download/documentos/369.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    2. Germán Coloma & Alejandro Saporiti, 2006. "Bertrand equilibria in markets with fixed costs," Economics Discussion Paper Series 0627, Economics, The University of Manchester.
    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. Matthew Andrews & Milan Bradonjic & Iraj Saniee, 2017. "Quantifying the Benefits of Infrastructure Sharing," Papers 1706.05735, arXiv.org.

    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. Pereira, Pedro & Ribeiro, Tiago, 2011. "The impact on broadband access to the Internet of the dual ownership of telephone and cable networks," International Journal of Industrial Organization, Elsevier, vol. 29(2), pages 283-293, March.
    2. Alexandre de Corniere, 2013. "Search Advertising," Economics Series Working Papers 649, University of Oxford, Department of Economics.
    3. Soeiro, Renato & Adrego Pinto, Alberto, 2019. "Social power as a solution to the Bertrand Paradox," MPRA Paper 94271, University Library of Munich, Germany.
    4. Gans, Joshua S. & Hill, Robert J., 1997. "Measuring product diversity," Economics Letters, Elsevier, vol. 55(1), pages 145-150, August.
    5. Fatica, Serena, 2009. "Taxation and the quality of institutions: asymmetric effects on FDI," MPRA Paper 24179, University Library of Munich, Germany, revised Jun 2010.
    6. Schweizer, Nikolaus & Szech, Nora, 2015. "A quantitative version of Myerson regularity," Working Paper Series in Economics 76, Karlsruhe Institute of Technology (KIT), Department of Economics and Management.
    7. A. Kerem Cosar & Paul L. E. Grieco & Felix Tintelnot, 2015. "Borders, Geography, and Oligopoly: Evidence from the Wind Turbine Industry," The Review of Economics and Statistics, MIT Press, vol. 97(3), pages 623-637, July.
    8. Mô José Moral & Jordi Jaumandreu, "undated". "Automobile demand, model cycle and price effects," Studies on the Spanish Economy 64, FEDEA.
    9. Azevedo, Eduardo M. & Gottlieb, Daniel, 2019. "An example of non-existence of Riley equilibrium in markets with adverse selection," Games and Economic Behavior, Elsevier, vol. 116(C), pages 152-157.
    10. Madeleine Cule & Richard Samworth & Michael Stewart, 2010. "Maximum likelihood estimation of a multi‐dimensional log‐concave density," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(5), pages 545-607, November.
    11. Jacob K. Goeree & Theo Offerman, 2003. "Competitive Bidding in Auctions with Private and Common Values," Economic Journal, Royal Economic Society, vol. 113(489), pages 598-613, July.
    12. Agrawal, David R. & Bagh, Adib & Mardan, Mohammed, 2025. "Sensitivity versus size: implications for tax competition," Theoretical Economics, Econometric Society, vol. 20(3), July.
    13. Andrew Rhodes & Jidong Zhou, 2024. "Personalized Pricing and Competition," American Economic Review, American Economic Association, vol. 114(7), pages 2141-2170, July.
    14. Renato Soeiro & Alberto A. Pinto, 2023. "Negative network effects and asymmetric pure price equilibria," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 22(1), pages 99-124, January.
    15. Anderson, Simon P. & de Palma, Andre, 1999. "Reverse discrete choice models," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 745-764, November.
    16. Peitz, Martin, 1997. "Models a la Lancaster and a la Hotelling: when they are the same," Economics Letters, Elsevier, vol. 54(2), pages 147-154, February.
    17. Xavier D’Haultfœuille & Isis Durrmeyer & Philippe Février, 2019. "Automobile Prices in Market Equilibrium with Unobserved Price Discrimination," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 1973-1998.
    18. Ron N. Borkovsky & Ulrich Doraszelski & Yaroslav Kryukov, 2010. "A User's Guide to Solving Dynamic Stochastic Games Using the Homotopy Method," Operations Research, INFORMS, vol. 58(4-part-2), pages 1116-1132, August.
    19. Chaim Fershtman & Ariel Pakes, 2000. "A Dynamic Oligopoly with Collusion and Price Wars," RAND Journal of Economics, The RAND Corporation, vol. 31(2), pages 207-236, Summer.
    20. Takatoshi Tabuchi, 2009. "Hotelling's Spatial Competition Reconsidered," CIRJE F-Series CIRJE-F-674, CIRJE, Faculty of Economics, University of Tokyo.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • 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:

    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:cem:doctra:369. 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: Lucila Solla (email available below). General contact details of provider: https://edirc.repec.org/data/cemaaar.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.