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Price Competition in a Vertizontally Differentiated Duopoly

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  • Bos, Iwan

    (RS: GSBE Theme Conflict & Cooperation, Organisation,Strategy & Entrepreneurship)

  • Peeters, Ronald

Abstract

This paper analyzes price competition in a duopoly market in which products are both horizontally and vertically differentiated. Firms offer a basic and a premium product to buyers, some of whom are brand loyal. We establish the existence of a unique and symmetric Nash pricing equilibrium. Equilibrium prices are increasing in the degree of horizontal differentiation and the amount of brand loyal customers. The equilibrium price of the basic (premium) good is decreasing (increasing) in the quality difference and profits can increase in costs when this difference is high enough. If the pricing decision is taken at the product (division) level, then there is again a unique (and symmetric) Nash equilibrium. Equilibrium prices and profits are lower than in the centralized case and demand for the basic product is higher when the quality difference is sufficiently large. Welfare is unambiguously lower with decentralized pricing.

Suggested Citation

  • Bos, Iwan & Peeters, Ronald, 2019. "Price Competition in a Vertizontally Differentiated Duopoly," Research Memorandum 017, Maastricht University, Graduate School of Business and Economics (GSBE).
  • Handle: RePEc:unm:umagsb:2019017
    DOI: 10.26481/umagsb.2019017
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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. Di Comite, Francesco & Thisse, Jacques-François & Vandenbussche, Hylke, 2014. "Verti-zontal differentiation in export markets," Journal of International Economics, Elsevier, vol. 93(1), pages 50-66.
    3. Xinyu Li & Ronald Peeters, 2017. "Rivalry information acquisition and disclosure," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 26(3), pages 610-623, September.
    4. Federico Ciliberto & Jonathan W. Williams, 2014. "Does multimarket contact facilitate tacit collusion? Inference on conduct parameters in the airline industry," RAND Journal of Economics, RAND Corporation, vol. 45(4), pages 764-791, December.
    5. Champsaur, Paul & Rochet, Jean-Charles, 1989. "Multiproduct Duopolists," Econometrica, Econometric Society, vol. 57(3), pages 533-557, May.
    6. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(1), pages 3-13.
    7. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    8. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, April.
    9. Armstrong, Mark & Vickers, John, 1993. "Price Discrimination, Competition and Regulation," Journal of Industrial Economics, Wiley Blackwell, vol. 41(4), pages 335-359, December.
    10. Preyas S. Desai, 2001. "Quality Segmentation in Spatial Markets: When Does Cannibalization Affect Product Line Design?," Marketing Science, INFORMS, vol. 20(3), pages 265-283, August.
    11. Jay Pil Choi & Heiko Gerlach, 2013. "Multi-Market Collusion with Demand Linkages and Antitrust Enforcement," Journal of Industrial Economics, Wiley Blackwell, vol. 61(4), pages 987-1022, December.
    12. Tilman Klumpp & Xuejuan Su, 2019. "Price–quality competition in a mixed duopoly," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 21(3), pages 400-432, June.
    13. Carlo Altomonte & Italo Colantone & Enrico Pennings, 2016. "Heterogeneous Firms and Asymmetric Product Differentiation," Journal of Industrial Economics, Wiley Blackwell, vol. 64(4), pages 835-874, December.
    14. Jaskold Gabszewicz, J. & Thisse, J. -F., 1979. "Price competition, quality and income disparities," Journal of Economic Theory, Elsevier, vol. 20(3), pages 340-359, June.
    15. Justin P. Johnson & David P. Myatt, 2006. "Multiproduct Cournot oligopoly," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 583-601, September.
    16. Babur De Los Santos & Ali Hortacsu & Matthijs R. Wildenbeest, 2012. "Testing Models of Consumer Search Using Data on Web Browsing and Purchasing Behavior," American Economic Review, American Economic Association, vol. 102(6), pages 2955-2980, October.
    17. 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.
    18. K. Sridhar Moorthy, 1988. "Strategic Decentralization in Channels," Marketing Science, INFORMS, vol. 7(4), pages 335-355.
    19. Silvia Sonderegger, 2011. "Market Segmentation With Nonlinear Pricing," Journal of Industrial Economics, Wiley Blackwell, vol. 59(1), pages 38-62, March.
    20. Meghan R. Busse, 2000. "Multimarket Contact and Price Coordination in the Cellular Telephone Industry," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 9(3), pages 287-320, June.
    21. Johnson, Justin P. & Myatt, David P., 2015. "The properties of product line prices," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 182-188.
    22. Nitin Mehta & Surendra Rajiv & Kannan Srinivasan, 2003. "Price Uncertainty and Consumer Search: A Structural Model of Consideration Set Formation," Marketing Science, INFORMS, vol. 22(1), pages 58-84, June.
    23. Bing Jing & Z. Zhang, 2011. "Product line competition and price promotions," Quantitative Marketing and Economics (QME), Springer, vol. 9(3), pages 275-299, September.
    24. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58(3), pages 211-211.
    25. Rajiv Lal, 1986. "Technical Note—Delegating Pricing Responsibility to the Salesforce," Marketing Science, INFORMS, vol. 5(2), pages 159-168.
    26. Nerea Fernández & Pedro L. Marín, 1998. "Market Power and Multimarket Contact: Some Evidence from the Spanish Hotel Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 46(3), pages 301-315, September.
    27. Volker Nocke & Nicolas Schutz, 2018. "Multiproduct‐Firm Oligopoly: An Aggregative Games Approach," Econometrica, Econometric Society, vol. 86(2), pages 523-557, March.
    28. Timothy W. McGuire & Richard Staelin, 2008. "An Industry Equilibrium Analysis of Downstream Vertical Integration," Marketing Science, INFORMS, vol. 27(1), pages 115-130, 01-02.
    29. Frenzen, Heiko & Hansen, Ann-Kristin & Krafft, Manfred & Mantrala, Murali K. & Schmidt, Simone, 2010. "Delegation of pricing authority to the sales force: An agency-theoretic perspective of its determinants and impact on performance," International Journal of Research in Marketing, Elsevier, vol. 27(1), pages 58-68.
    30. Jans, Ivette & Rosenbaum, David I., 1997. "Multimarket contact and pricing: Evidence from the U.S. cement industry," International Journal of Industrial Organization, Elsevier, vol. 15(3), pages 391-412, May.
    31. Philip M. Parker & Lars-Hendrik Roller, 1997. "Collusive Conduct in Duopolies: Multimarket Contact and Cross-Ownership in the Mobile Telephone Industry," RAND Journal of Economics, The RAND Corporation, vol. 28(2), pages 304-322, Summer.
    32. Kimmel, Sheldon, 1992. "Effects of Cost Changes on Oligopolists' Profits," Journal of Industrial Economics, Wiley Blackwell, vol. 40(4), pages 441-449, December.
    33. Bart J. Bronnenberg & Jun B. Kim & Carl F. Mela, 2016. "Zooming In on Choice: How Do Consumers Search for Cameras Online?," Marketing Science, INFORMS, vol. 35(5), pages 693-712, September.
    34. William N. Evans & Ioannis N. Kessides, 1994. "Living by the "Golden Rule": Multimarket Contact in the U. S. Airline Industry," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(2), pages 341-366.
    35. Pradeep Bhardwaj, 2001. "Delegating Pricing Decisions," Marketing Science, INFORMS, vol. 20(2), pages 143-169, September.
    36. B. Douglas Bernheim & Michael D. Whinston, 1990. "Multimarket Contact and Collusive Behavior," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 1-26, Spring.
    37. repec:bla:jindec:v:46:y:1998:i:3:p:301-15 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

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    More about this item

    JEL classification:

    • 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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