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Price and quantity competition in a differentiated duopoly with network compatibility effects

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  • Tsuyoshi Toshimitsu

    (School of Economics, Kwansei Gakuin University)

Abstract

We consider endogenous choice of the strategic variables, price and quantity, in a horizontally differentiated duopoly market, assuming network effects and product compatibility (hereafter, network compatibility effects). We demonstrate the following. If the degree of network compatibility effects of the other rival firm is smaller (larger) than the degree of product substitutability, then choosing quantity (price) is a dominant strategy for the firm. In this case, the Cournot (Bertrand) equilibrium arises. If there are asymmetric network compatibility effects between the firms, the firm with larger (smaller) network compatibility effects than the degree of product substitutability chooses quantity (price). In this case, the Cournot−Bertrand equilibrium arises.

Suggested Citation

  • Tsuyoshi Toshimitsu, 2015. "Price and quantity competition in a differentiated duopoly with network compatibility effects," Discussion Paper Series 128, School of Economics, Kwansei Gakuin University, revised Jun 2015.
    • Handle: RePEc:kgu:wpaper:128
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    References listed on IDEAS

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    Cited by:

    1. Onur A. Koska, 2022. "Investing in Network Strength, Consumer Expectations, and the Mode of Competition," Working Papers in Economics 22/09, University of Canterbury, Department of Economics and Finance.
    2. Ryo Hashizume & Tatsuhiko Nariu, 2020. "Price and quantity competition with network externalities: Endogenous choice of strategic variables," Manchester School, University of Manchester, vol. 88(6), pages 847-865, December.
    3. DongJoon Lee & Kangsik Choi & Tatsuhiko Nariu, 2020. "Endogenous vertical structure with network externalities," Manchester School, University of Manchester, vol. 88(6), pages 827-846, December.
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    5. Kangsik Choi & Seonyoung Lim, 2023. "Input Price Discrimination in Endogenous Competition Mode," The Japanese Economic Review, Springer, vol. 74(2), pages 301-330, April.
    6. Tsuyoshi Toshimitsu, 2017. "Strategic Trade Policy and Network Compatibility," Journal of Industry, Competition and Trade, Springer, vol. 17(2), pages 237-249, June.

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    More about this item

    Keywords

    Bertrand equilibrium; Cournot equilibrium; Cournot−Bertrand equilibrium; product compatibility; network effect; fulfilled expectation; horizontally differentiated duopoly;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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