IDEAS home Printed from https://ideas.repec.org/a/udc/esteco/v37y2010i2p189-205.html
   My bibliography  Save this article

El número óptimo de empresas bajo competencia de Bertrand

Author

Listed:
  • Germán Coloma

Abstract

Este trabajo es acerca de un modelo de competencia en precios en el mercado de un producto homogéneo con libre entrada de empresas idénticas y rendimientos variables a escala. Si el número óptimo de empresas activas en el mercado es dos o más, y el número de empresas activas es igual a dicho número óptimo, entonces el equilibrio de Bertrand existe para dicho número óptimo, y no existe si el número de empresas activas es menor que el óptimo. El modelo, sin embargo, no descarta la existencia de equilibrios con más empresas activas que el óptimo. Finalmente, si el número óptimo de empresas es igual a uno, entonces el equilibrio de Bertrand no existe.

Suggested Citation

  • Germán Coloma, 2010. "El número óptimo de empresas bajo competencia de Bertrand," Estudios de Economia, University of Chile, Department of Economics, vol. 37(2 Year 20), pages 189-205, December.
  • Handle: RePEc:udc:esteco:v:37:y:2010:i:2:p:189-205
    as

    Download full text from publisher

    File URL: http://econ.uchile.cl/uploads/publicacion/2b397a58ec22811fa463eeeb23e86a4c9d325891.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    2. Claude D’Aspremont & Rodolphe Dos Santos Ferreira & Louis-Andre Gerard-Varet, 2000. "Contestability and the Indeterminacy of Free-Entry Equilibria," The Japanese Economic Review, Japanese Economic Association, vol. 51(1), pages 72-83, March.
    3. Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
    4. Brander, James A & Spencer, Barbara J, 1985. "Tacit Collusion, Free Entry, and Welfare," Journal of Industrial Economics, Wiley Blackwell, vol. 33(3), pages 277-294, March.
    5. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2007. "Free entry equilibria with positive profits: A unified approach to quantity and price competition games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(2), pages 75-94, June.
    6. Friedman, James W. & Thisse, Jacques-Francis, 1994. "Sustainable collusion in oligopoly with free entry," European Economic Review, Elsevier, vol. 38(2), pages 271-283, February.
    7. Anderson, Simon P & de Palma, Andre & Nesterov, Yurii, 1995. "Oligopolistic Competition and the Optimal Provision of Products," Econometrica, Econometric Society, vol. 63(6), pages 1281-1301, November.
    8. Vettas, Nikolaos, 2000. "On entry, exit, and coordination with mixed strategies," European Economic Review, Elsevier, vol. 44(8), pages 1557-1576, August.
    9. 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.
    10. Makoto Yano, 2006. "A price competition game under free entry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(2), pages 395-414, October.
    11. N. Gregory Mankiw & Michael D. Whinston, 1986. "Free Entry and Social Inefficiency," RAND Journal of Economics, The RAND Corporation, vol. 17(1), pages 48-58, Spring.
    12. Corchon, Luis C. & Fradera, Isabel, 2002. "Comparative statics in Cournot free entry equilibrium," Mathematical Social Sciences, Elsevier, vol. 44(2), pages 155-168, November.
    13. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
    14. Prabal Roy Chowdhury, 2002. "Limit-pricing as Bertrand equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 811-822.
    15. Sharkey, William W. & Sibley, David S., 1993. "A Bertrand model of pricing and entry," Economics Letters, Elsevier, vol. 41(2), pages 199-206.
    Full references (including those not matched with items on IDEAS)

    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. 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.
    2. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
    3. Alejandro Saporiti & German Coloma, 2008. "Bertrand's price competition in markets with fixed costs," RCER Working Papers 541, University of Rochester - Center for Economic Research (RCER).
    4. Makoto Yano & Takashi Komatsubara, 2018. "Price competition or price leadership," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1023-1057, December.
    5. Marie‐Laure Cabon‐Dhersin & Nicolas Drouhin, 2014. "Tacit Collusion in a One‐Shot Game of Price Competition with Soft Capacity Constraints," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(2), pages 427-442, June.
    6. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2022. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Post-Print halshs-03378500, HAL.
    7. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2021. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Working Papers halshs-03378500, HAL.
    8. Rodolphe Dos Santos Ferreira & Frédéric Dufourt, 2007. "Free entry equilibria with positive profits: A unified approach to quantity and price competition games," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(2), pages 75-94, June.
    9. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    10. Robert Routledge, 2010. "On the Bertrand core and equilibrium of a market," Economics Discussion Paper Series 1017, Economics, The University of Manchester.
    11. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2010. "The end of the Bertrand Paradox ?," Post-Print halshs-00542486, HAL.
    12. R. R. Routledge & R. A. Edwards, 2020. "Ambiguity and price competition," Theory and Decision, Springer, vol. 88(2), pages 231-256, March.
    13. Prabal Roy Chowdhury, 2004. "Bertrand-Edgeworth equilibrium with a large number of firms," Discussion Papers 04-12, Indian Statistical Institute, Delhi.
    14. R. R. Routledge, 2017. "Information, ambiguity and price equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 199-214, October.
    15. R. R. Routledge, 2013. "On the existence of coalition-proof Bertrand equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 21-31, May.
    16. Marie‐Laure Cabon‐Dhersin & Nicolas Drouhin, 2023. "Chamberlin without differentiation: Soft capacity constrained price competition with free entry," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(1), pages 118-126, March.
    17. Bos, Iwan & Vermeulen, Dries, 2021. "On pure-strategy Nash equilibria in price–quantity games," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    18. Roy Chowdhury, Prabal, 2009. "Free Entry Bertrand Competition," MPRA Paper 17837, University Library of Munich, Germany.
    19. Cabral, Luis M. B., 2004. "Simultaneous entry and welfare," European Economic Review, Elsevier, vol. 48(5), pages 943-957, October.
    20. Peyman Khezr & Flavio M. Menezes, 2021. "Entry and social efficiency under Bertrand competition and asymmetric information," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(4), pages 927-944, December.

    More about this item

    Keywords

    Equilibrio de Bertrand; Rendimientos variables ; libre entrada; Número de empresas;
    All these 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

    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:udc:esteco:v:37:y:2010:i:2:p:189-205. 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: Verónica Kunze (email available below). General contact details of provider: https://edirc.repec.org/data/deuclcl.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.