IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-02909801.html
   My bibliography  Save this paper

Soft-Capacity constrained price competition with entry and a minimum firm size: Chamberlin without differentiation

Author

Listed:
  • Marie-Laure Cabon-Dhersin

    (CREAM - Centre de Recherche en Economie Appliquée à la Mondialisation - UNIROUEN - Université de Rouen Normandie - NU - Normandie Université - IRIHS - Institut de Recherche Interdisciplinaire Homme et Société - UNIROUEN - Université de Rouen Normandie - NU - Normandie Université)

  • Nicolas Drouhin

    (UNICAEN - Université de Caen Normandie - NU - Normandie Université)

Abstract

We consider a model of price competition in a homogeneous good, with soft-capacity constraints, in the special case of a Sone-Geary production function that implies a minimum firm size and leads to a U-shaped average cost function. We study free entry and obtain a Chamberlin-like result: zero profit and a positive markup at equilibrium.

Suggested Citation

  • Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2020. "Soft-Capacity constrained price competition with entry and a minimum firm size: Chamberlin without differentiation," Working Papers hal-02909801, HAL.
    • Handle: RePEc:hal:wpaper:hal-02909801
    Note: View the original document on HAL open archive server: https://hal.science/hal-02909801
    as

    Download full text from publisher

    File URL: https://hal.science/hal-02909801/document
    Download Restriction: no
    ---><---

    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. 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.
    3. 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.
    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. Krishnendu Dastidar, 2001. "Collusive outcomes in price competition," Journal of Economics, Springer, vol. 73(1), pages 81-93, February.
    6. Mathieu Parenti & Alexander V. Sidorov & Jacques-François Thisse & Evgeny V. Zhelobodko, 2017. "Cournot, Bertrand or Chamberlin: Toward a reconciliation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 13(1), pages 29-45, March.
    7. 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.
    8. Beattie, Bruce R. & Aradhyula, Satheesh, 2015. "A Note On Threshold Factor Level(S) And Stone-Geary Technology," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 47(4), pages 482-493, November.
    9. 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.
    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, 2022. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Post-Print halshs-03378500, HAL.
    2. 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.
    3. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2021. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Working Papers halshs-03378500, HAL.
    4. Elpiniki Bakaouka & Marc Escrihuela-Villar & Walter Ferrarese, 2022. "Endogenous Horizontal Mergers in Homogeneous Goods Industries with Bertrand Competition," DEA Working Papers 96, Universitat de les Illes Balears, Departament d'Economía Aplicada.
    5. 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.
    6. Marie-Laure Cabon-Dhersin & Jonas Didisse, 2017. "Inter-university competition and high tuition fees," Post-Print hal-02356872, HAL.
    7. 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.
    8. Kazuhiro Takauchi & Tomomichi Mizuno, 2022. "Endogenous transport price, R&D spillovers, and trade," The World Economy, Wiley Blackwell, vol. 45(5), pages 1477-1500, May.
    9. Kazuhiro Takauchi & Tomomichi Mizuno, 2019. "Is competition in the transport industry bad?A welfare analysis of R&D with inter-regional transportation," Discussion Papers 1910, Graduate School of Economics, Kobe University.
    10. Tomomichi Mizuno & Kazuhiro Takauchi, 2020. "Optimal Export Policy With Upstream Price Competition," Manchester School, University of Manchester, vol. 88(2), pages 324-348, March.
    11. Burguet, Roberto & Sákovics, József, 2017. "Bertrand and the long run," International Journal of Industrial Organization, Elsevier, vol. 51(C), pages 39-55.
    12. Burguet, Roberto & Sákovics, József, 2014. "Bertrand and the long run," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-38, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    13. Arijit Mukherjee, 2023. "Losses from cross-holdings in a duopoly with convex cost and strategic input price determination," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 81-91, April.
    14. WAUTHY, Xavier Y., 2014. "From Bertrand to Cournot via Kreps and Scheinkman: a hazardous journey," LIDAM Discussion Papers CORE 2014026, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    15. Argenton, Cédric, 2019. "Colluding on excluding," European Economic Review, Elsevier, vol. 113(C), pages 194-206.
    16. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2010. "The end of the Bertrand Paradox?," Post-Print halshs-00542486, HAL.
    17. David R. Collie, 2006. "Collusion in Differentiated Duopolies with Quadratic Costs," Bulletin of Economic Research, Wiley Blackwell, vol. 58(2), pages 151-159, April.
    18. 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.
    19. Matsumura, Toshihiro, 2012. "Welfare consequence of an asymmetric regulation in a mixed Bertrand duopoly," Economics Letters, Elsevier, vol. 115(1), pages 94-96.
    20. 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.

    More about this item

    Keywords

    price competition; soft-capacity constraint; tacit collusion; returns to scale; free-entry;
    All these keywords.

    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:hal:wpaper:hal-02909801. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.