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Product Line Strategy within a Vertically Differentiated Duopoly under Non-negativity Outputs Constraints

Author

Listed:
  • Tetsuya Shinkai

    (School of Economics, Kwansei Gakuin University)

  • Ryoma Kitamura

    (Faculty of Economics, Ryukoku University)

Abstract

We consider product line strategies of duopolistic firms supplying two vertically differentiated products with non-negativity output constraint and its expectation on rival's product line reaction. We consider a game in which there exists a heterogeneous unit production costs in high quality goods but is homogeneous in low quality product between firms. We derive equilibria for the game and characterize graphically firms' product line strategies and the realized profits of both firms through quality superiority and relative cost efficiency ratios. We also show that the efficient cost firm earns more than the inefficient firm except for the special case where both firms specialize in low quality good. We also illustrate that firms can correctly conjecture the ex ante relationship between the quality superiority of both goods and the relative cost efficiency ratios of firms on high quality good ex post in equilibrium.

Suggested Citation

  • Tetsuya Shinkai & Ryoma Kitamura, 2018. "Product Line Strategy within a Vertically Differentiated Duopoly under Non-negativity Outputs Constraints," Discussion Paper Series 179, School of Economics, Kwansei Gakuin University.
    • Handle: RePEc:kgu:wpaper:179
    as

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    References listed on IDEAS

    as
    1. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    2. Joan Calzada & Tommaso M. Valletti, 2012. "Intertemporal Movie Distribution: Versioning When Customers Can Buy Both Versions," Marketing Science, INFORMS, vol. 31(4), pages 649-667, July.
    3. Katz, Michael L & Shapiro, Carl, 1985. "Network Externalities, Competition, and Compatibility," American Economic Review, American Economic Association, vol. 75(3), pages 424-440, June.
    4. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    5. Ryoma Kitamura & Tetsuya Shinkai, 2013. "The Economics of Cannibalization: A Duopoly in which Firms Supply Two Vertically Differentiated Products," Discussion Paper Series 100, School of Economics, Kwansei Gakuin University, revised Feb 2013.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Multi-product firm; Duopoly; Substitution of Production between products; Vertical product differentiation;
    All these keywords.

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • 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
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

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