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The Hotelling Model with Capacity Precommitment

Author

Listed:
  • Boccard, N.

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Center for Operations Research and Econometrics (CORE))

  • Wauthy, Xavier

    (UNIVERSITE CATHOLIQUE DE LOUVAIN, Institut de Recherches Economiques et Sociales (IRES) ; Belgian National Fund for Scientific Research (FNRS))

Abstract

We consider the two-stage game proposed by Kreps and Scheinkman (83) in the address-model of horizontal differentiation developed by Hotelling. Firms choose capacities in the first stage and then compete in prices. We show that price competition is drastically softened since in almost all subgame perfect equilibria firms behave as if they were an integrated monopolist i.e., they choose capacities which exactly cover the market, so that there is no room for price competition. If furthermore the installation cost for capacity is one fourth of the transportation or more, this result stands for all SPE. Like Kreps and Scheinkman, we show that the Cournot allocations coincide with the SPE allocations of our game form. Finally, our analysis provides an interesting treatment of mixed strategy equilibria which is quite new in the literature.

Suggested Citation

  • Boccard, N. & Wauthy, Xavier, 1996. "The Hotelling Model with Capacity Precommitment," LIDAM Discussion Papers IRES 1997030, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 00 Nov 1997.
    • Handle: RePEc:ctl:louvir:1997030
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    File URL: http://sites.uclouvain.be/econ/DP/IRES/9730.pdf
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    Cited by:

    1. Paul Belleflamme & Pierre M. Picard, 2007. "Piracy and Competition," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 351-383, June.
    2. Kirui, Benard Kipyegon, 2013. "Reconciling Cournot and Bertrand Outcomes: A Review," EconStor Preprints 97305, ZBW - Leibniz Information Centre for Economics.

    More about this item

    Keywords

    Hotelling; capacity; price competition;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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