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A Model of Multiproduct Price Competition

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  • Tauman, Yair
  • Urbano, Amparo
  • Watanabe, Junichi

Abstract

Strategic interaction in oligopolistic markets has been extensively studied in the literature. This literature deals mostly with the case of multiple firms which produce a homogeneous good or goods that are perfect substitutes. In this paper we provide a simple model of price competition in a multiproduct oligopoly market. We find that apure strategy equilibrium exists and that the equilibrium consumption sets are efficient since they maximize the total social surplus. If the willingness to pay function of the consumer is convex, the set of equilibrium prices coincides with the core of a related game and the firms extract total industry surplus. If it is concave, the only equilibrium price of a product is its marginal contribution to the consumer's total willingness to pay. If the products are perfect substitutes we obtain the standard Bertrand equilibrium.
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Suggested Citation

  • Tauman, Yair & Urbano, Amparo & Watanabe, Junichi, 1997. "A Model of Multiproduct Price Competition," Journal of Economic Theory, Elsevier, vol. 77(2), pages 377-401, December.
  • Handle: RePEc:eee:jetheo:v:77:y:1997:i:2:p:377-401
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    References listed on IDEAS

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    1. Michael Spence, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Oxford University Press, vol. 43(2), pages 217-235.
    2. Jaskold Gabszewicz, J. & Thisse, J. -F., 1980. "Entry (and exit) in a differentiated industry," Journal of Economic Theory, Elsevier, vol. 22(2), pages 327-338, April.
    3. 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.
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    6. Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization,in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414 Elsevier.
    7. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    8. Avner Shaked & John Sutton, 1982. "Relaxing Price Competition Through Product Differentiation," Review of Economic Studies, Oxford University Press, vol. 49(1), pages 3-13.
    9. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-1150, September.
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    11. Baumol, William J & Bailey, Elizabeth E & Willig, Robert D, 1977. "Weak Invisible Hand Theorems on the Sustainability of Multiproduct Natural Monopoly," American Economic Review, American Economic Association, vol. 67(3), pages 350-365, June.
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    Cited by:

    1. Ming-Chung Chang & Jin-Li Hu & Mei-Yu Lee, 2012. "Economic And Environmental Effects Of Refill Packs," Bulletin of Economic Research, Wiley Blackwell, vol. 64(4), pages 581-592, October.
    2. Arribas, I. & Urbano, A., 2017. "Multiproduct trading with a common agent under complete information: Existence and characterization of Nash equilibrium," Journal of Economic Theory, Elsevier, vol. 167(C), pages 14-38.
    3. Ivan Arribas & Amparo Urbano, 2004. "Mixed Bundling Strategies And Multiproduct Price Competition," Working Papers. Serie AD 2004-01, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Arribas, Ivan & Urbano, Amparo, 2005. "Nash equilibria in a model of multiproduct price competition: an assignment problem," Journal of Mathematical Economics, Elsevier, vol. 41(3), pages 351-385, April.
    5. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
    6. Liao, Chun-Hsiung & Tauman, Yair, 2002. "The role of bundling in price competition," International Journal of Industrial Organization, Elsevier, vol. 20(3), pages 365-389, March.
    7. Francisco Robles & Marina Núñez, 2014. "One-seller assignment markets with multiunit demands," UB Economics Working Papers 2014/316, Universitat de Barcelona, Facultat d'Economia i Empresa, UB Economics.

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