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First-Degree Discrimination by a Duopoly: Pricing and Quality Choice

Author

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  • David Encaoua

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Abraham Hollander

    (UdeM - Université de Montréal)

Abstract

The paper examines under what conditions vertically differentiated duopolists engage in first-degree price discrimination. Each firm decides on a pricing regime at a first stage and sets prices at a second stage. The paper shows that when unit cost is an increasing and convex function of quality, the discriminatory regime is the unique subgame-perfect equilibrium of such two-stage game. In contrast to the case of horizontal differentiation, the discriminatory equilibrium is not necessarily Pareto-dominated by a bilateral commitment to uniform pricing. Also, the quality choices of perfectly discriminating duopolists are welfare maximizing. The paper explains why a threat of entry may elicit price discrimination by an incumbent monopolist.

Suggested Citation

  • David Encaoua & Abraham Hollander, 2007. "First-Degree Discrimination by a Duopoly: Pricing and Quality Choice," Post-Print halshs-00177604, HAL.
  • Handle: RePEc:hal:journl:halshs-00177604
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00177604
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    References listed on IDEAS

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    1. Jean‐Marc Bonnisseau & Rim Lahmandi‐Ayed, 2007. "Vertical differentiation with non‐uniform consumers' distribution," International Journal of Economic Theory, The International Society for Economic Theory, vol. 3(3), pages 179-190, September.
    2. Lars A. Stole, 1995. "Nonlinear Pricing and Oligopoly," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 4(4), pages 529-562, December.
    3. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March.
    4. Drew Fudenberg & Jean Tirole, 2000. "Customer Poaching and Brand Switching," RAND Journal of Economics, The RAND Corporation, vol. 31(4), pages 634-657, Winter.
    5. 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.
    6. Yannis Bakos, 2001. "The Emerging Landscape for Retail E-Commerce," Journal of Economic Perspectives, American Economic Association, vol. 15(1), pages 69-80, Winter.
    7. Thisse, Jacques-Francois & Vives, Xavier, 1988. "On the Strategic Choice of Spatial Price Policy," American Economic Review, American Economic Association, vol. 78(1), pages 122-137, March.
    8. Alessandro Acquisti & Hal R. Varian, 2005. "Conditioning Prices on Purchase History," Marketing Science, INFORMS, vol. 24(3), pages 367-381, May.
    9. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    10. Crampes, Claude & Hollander, Abraham, 1995. "Duopoly and quality standards," European Economic Review, Elsevier, vol. 39(1), pages 71-82, January.
    11. Greg Shaffer & Z. John Zhang, 2000. "Pay to Switch or Pay to Stay: Preference‐Based Price Discrimination in Markets with Switching Costs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 9(3), pages 397-424, June.
    12. Vidyanand Choudhary & Anindya Ghose & Tridas Mukhopadhyay & Uday Rajan, 2005. "Personalized Pricing and Quality Differentiation," Management Science, INFORMS, vol. 51(7), pages 1120-1130, July.
    13. Hamilton, Jonathan H. & Thisse, Jacques-Francois, 1992. "Duopoly with spatial and quantity- dependent price discrimination," Regional Science and Urban Economics, Elsevier, vol. 22(2), pages 175-185, June.
    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. Caminal, Ramon & Matutes, Carmen, 1990. "Endogenous switching costs in a duopoly model," International Journal of Industrial Organization, Elsevier, vol. 8(3), pages 353-373, September.
    16. Anindya Ghose & Vidyanand Choudhary & Tridas Mukhopadhyay & Uday Rajan, 2002. "Personalized Pricing and Quality Differentiation on the Internet," Review of Marketing Science Working Papers 2-1-1005, Berkeley Electronic Press.
    17. Edlin, Aaron S. & Rubinfeld, Daniel L., 2004. "Exclusion or Efficient Pricing? The "Big Deal" Bundling of Academic Journals," Berkeley Olin Program in Law & Economics, Working Paper Series qt9hc6n6ds, Berkeley Olin Program in Law & Economics.
    18. Lederer, Phillip J & Hurter, Arthur P, Jr, 1986. "Competition of Firms: Discriminatory Pricing and Location," Econometrica, Econometric Society, vol. 54(3), pages 623-640, May.
    19. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    20. Hurter, Arthur Jr & Lederer, Phillip J., 1985. "Spatial duopoly with discriminatory pricing," Regional Science and Urban Economics, Elsevier, vol. 15(4), pages 541-553, November.
    21. V. Bhaskar & Ted To, 2004. "Is Perfect Price Discrimination Really Efficient? An Analysis of Free Entry," RAND Journal of Economics, The RAND Corporation, vol. 35(4), pages 762-776, Winter.
    22. Emch Eric R., 2003. "Price Discrimination via Proprietary Aftermarkets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 2(1), pages 1-34, April.
    23. Aguirre, Inaki & Espinosa, Maria Paz & Macho-Stadler, Ines, 1998. "Strategic entry deterrence through spatial price discrimination," Regional Science and Urban Economics, Elsevier, vol. 28(3), pages 297-314, May.
    24. Emch, E., 2000. "Price Discrimination via Proprietary Aftermarkets," Papers 00-11, U.S. Department of Justice - Antitrust Division.
    25. Holmes, Thomas J, 1989. "The Effects of Third-Degree Price Discrimination in Oligopoly," American Economic Review, American Economic Association, vol. 79(1), pages 244-250, March.
    26. Severin Borenstein, 1985. "Price Discrimination in Free-Entry Markets," RAND Journal of Economics, The RAND Corporation, vol. 16(3), pages 380-397, Autumn.
    27. Uri Ronnen, 1991. "Minimum Quality Standards, Fixed Costs, and Competition," RAND Journal of Economics, The RAND Corporation, vol. 22(4), pages 490-504, Winter.
    28. J. Miguel Villas-Boas, 1999. "Dynamic Competition with Customer Recognition," RAND Journal of Economics, The RAND Corporation, vol. 30(4), pages 604-631, Winter.
    29. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
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    4. Paul Belleflamme & Wing Man Wynne Lam, & Wouter Vergote, 2020. "Competitive Imperfect Price Discrimination and Market Power," Marketing Science, INFORMS, vol. 39(5), pages 996-1015, September.
    5. Colombo, Stefano, 2009. "On the effects of selective below-cost pricing in a vertical differentiation model," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 3, pages 1-13.
    6. Stefano Colombo, 2011. "Spatial price discrimination in the unidirectional Hotelling model with elastic demand," Journal of Economics, Springer, vol. 102(2), pages 157-169, March.
    7. Vollstaedt, Ulrike & Imcke, Patrick & Brendel, Franziska & Ehses-Friedrich, Christiane, 2020. "Increasing consumer surplus through a novel product testing mechanism," Ruhr Economic Papers 887, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.

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    More about this item

    Keywords

    competition in pricing regimes; duopoly; quality choice; concurrence en régime de prix; duopole; choix de qualité;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • I13 - Health, Education, and Welfare - - Health - - - Health Insurance, Public and Private
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

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