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Free Entry Bertrand Competition

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  • Roy Chowdhury, Prabal

Abstract

This paper examines Bertrand competition under free entry, when firm size vis-a-vis market size is exogenously given. A free entry Bertrand Nash equilibrium (FEBE) exists if and only if relative market size is sufficiently large. Further, there is a unique coalition-proof Nash equilibrium price that corresponds to the minimum FEBE price, leads to average cost pricing for all active firms and is decreasing in market size.

Suggested Citation

  • Roy Chowdhury, Prabal, 2009. "Free Entry Bertrand Competition," MPRA Paper 17837, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:17837
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    File URL: https://mpra.ub.uni-muenchen.de/17837/1/MPRA_paper_17837.pdf
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    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. 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.
    3. Daniel F. Spulber, 1989. "Regulation and Markets," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262192756, December.
    4. Hoernig, Steffen H., 2002. "Mixed Bertrand equilibria under decreasing returns to scale: an embarrassment of riches," Economics Letters, Elsevier, vol. 74(3), pages 359-362, February.
    5. 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.
    6. Prabal Chowdhury & Kunal Sengupta, 2004. "Coalition-proof Bertrand equilibria," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 307-324, August.
    7. Chaudhuri, Prabal Ray, 1996. "The contestable outcome as a Bertrand equilibrium," Economics Letters, Elsevier, vol. 50(2), pages 237-242, February.
    8. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    9. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Bertrand competition; free entry; coalition-proof; contestability;
    All these keywords.

    JEL classification:

    • D5 - Microeconomics - - General Equilibrium and Disequilibrium
    • L3 - Industrial Organization - - Nonprofit Organizations and Public Enterprise

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