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

Author

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  • 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
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    References listed on IDEAS

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    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, 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.
    4. 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.
    5. 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.
    6. Krishnendu Dastidar, 2001. "Collusive outcomes in price competition," Journal of Economics, Springer, vol. 73(1), pages 81-93, February.
    7. 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.
    8. 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.
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    More about this item

    Keywords

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

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