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Bertrand competition with non-rigid capacity constraints

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  • Prabal Roy Chowdhury

    (Indian Statistical Institute, New Delhi
    Indian Statistical Institute, New Delhi)

Abstract

We examine a model of Bertrand competition with non-rigid capacity constraints, so that by incurring an additional per unit cost of capacity expansion, firms can produce beyond capacity. We find that there is an interval of prices such that a price can be sustained as a pure strategy Nash equilibrium if and only if it lies in this interval. We then examine the properties of this set as [a] the number of firms becomes large and [b] the capacity cost increases.

Suggested Citation

  • Prabal Roy Chowdhury, 2009. "Bertrand competition with non-rigid capacity constraints," Discussion Papers 09-02, Indian Statistical Institute, Delhi.
    • Handle: RePEc:alo:isipdp:09-02
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    References listed on IDEAS

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    Citations

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    Cited by:

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    2. Antoniou, Fabio & Fiocco, Raffaele & Guo, Dongyu, 2017. "Asymmetric price adjustments: A supply side approach," International Journal of Industrial Organization, Elsevier, vol. 50(C), pages 335-360.
    3. Marie-Laure Cabon-Dhersin & Jonas Didisse, 2017. "Inter-university competition and high tuition fees," Post-Print hal-02356872, HAL.
    4. 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.
    5. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2021. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Working Papers halshs-03378500, HAL.
    6. Makoto Yano & Takashi Komatsubara, 2012. "Price Competition or Tacit Collusion," KIER Working Papers 807, Kyoto University, Institute of Economic Research.
    7. 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.
    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.
    9. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2022. "Chamberlin without differentiation: Soft-capacity constrained price competition with free entry," Post-Print halshs-03378500, HAL.
    10. Amarjyoti Mahanta, 2022. "Price competition in a mixed duopoly with discontinuous marginal cost function," Economics Bulletin, AccessEcon, vol. 42(2), pages 330-341.
    11. 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.

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    More about this item

    Keywords

    Bertrand competition; capacity constraint;

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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