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Multiproduct Duopoly with Vertical Differentiation

Author

Listed:
  • Cheng Yi-Ling

    (Tunghai University and Academia Sinica)

  • Peng Shin-Kun

    (Academia Sinica and National Taiwan University)

  • Tabuchi Takatoshi

    (University of Tokyo)

Abstract

This paper investigates a two-stage competition in a vertically differentiated industry, where each firm produces an arbitrary number of similar qualities and sells them to heterogeneous consumers. The number of products, qualities, prices, and the extent of the market coverage are endogenously determined. We show that when unit costs of quality improvement are increasing and quadratic, each firm has an incentive to provide a disconnected set of similar qualities approximating a continuum. The finding contrasts sharply with the single-quality outcome when the market coverage is exogenously determined. We also show that allowing for multiple qualities intensifies the level of competition, lowers the profit of each firm, and raises the consumer surplus and the social welfare in comparison to the single-quality duopoly.

Suggested Citation

  • Cheng Yi-Ling & Peng Shin-Kun & Tabuchi Takatoshi, 2011. "Multiproduct Duopoly with Vertical Differentiation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-29, August.
  • Handle: RePEc:bpj:bejtec:v:11:y:2011:i:1:n:16
    DOI: 10.2202/1935-1704.1800
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    References listed on IDEAS

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    1. Gilbert, Richard J & Matutes, Carmen, 1993. "Product Line Rivalry with Brand Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 41(3), pages 223-240, September.
    2. Wauthy, Xavier, 1996. "Quality Choice in Models of Vertical Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 44(3), pages 345-353, September.
    3. Bonnisseau Jean-Marc & Lahmandi-Ayed Rim, 2006. "Vertical Differentiation: Multiproduct Strategy to Face Entry?," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-14, November.
    4. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    5. Gayer Amit, 2007. "Oligopoly, Endogenous Monopolist and Product Quality," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 7(1), pages 1-21, August.
    6. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    7. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    8. K. Sridhar Moorthy, 1988. "Product and Price Competition in a Duopoly," Marketing Science, INFORMS, vol. 7(2), pages 141-168.
    9. Barron, John M & Taylor, Beck A & Umbeck, John R, 2000. "A Theory of Quality-Related Differences in Retail Margins: Why There Is a "Premium" on Premium Gasoline," Economic Inquiry, Western Economic Association International, vol. 38(4), pages 550-569, October.
    10. Pei‐Cheng Liao, 2008. "A Note On Market Coverage In Vertical Differentiation Models With Fixed Costs," Bulletin of Economic Research, Wiley Blackwell, vol. 60(1), pages 27-44, January.
    11. Choi, Chong Ju & Shin, Hyun Song, 1992. "A Comment on a Model of Vertical Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 229-231, June.
    12. K. Sridhar Moorthy, 1984. "Market Segmentation, Self-Selection, and Product Line Design," Marketing Science, INFORMS, vol. 3(4), pages 288-307.
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    Cited by:

    1. Sun, Shaoyan & An, Henry, 2013. "Reputation and Multiproduct-firm Behavior: Product Line and Price Rivalry Among Retailers," 2013 Annual Meeting, August 4-6, 2013, Washington, D.C. 151146, Agricultural and Applied Economics Association.
    2. Amit Gayer, 2023. "Duopoly and Endogenous Single Product Quality Strategies," Games, MDPI, vol. 14(4), pages 1-11, August.
    3. Müller, Stephan & Götz, Georg, 2014. "Quality competition and entry deterrence: When to launch an extra brand," University of Göttingen Working Papers in Economics 223, University of Goettingen, Department of Economics.
    4. Yi-Ling Cheng & Shin-Kun Peng, 2014. "Price competition and quality differentiation with multiproduct firms," Journal of Economics, Springer, vol. 112(3), pages 207-223, July.
    5. Evdokia Dritsa & Eleftherios Zacharias, 2012. "Price Competition in a Duopoly Characterized by Positional Effects," Working Papers 12-21, NET Institute.

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    More about this item

    JEL classification:

    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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