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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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 77 (1997)
Issue (Month): 2 (December)
Pages: 377-401

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Handle: RePEc:eee:jetheo:v:77:y:1997:i:2:p:377-401

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. GABSZEWICZ, Jean J. & THISSE, Jacques-François, . "Entry (and exit) in a differentiated industry," CORE Discussion Papers RP -400, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Milgrom, P. & Shannon, C., 1991. "Monotone Comparative Statics," Papers 11, Stanford - Institute for Thoretical Economics.
  3. d'Aspremont, C & Gabszewicz, Jean Jaskold & Thisse, J-F, 1979. "On Hotelling's "Stability in Competition"," Econometrica, Econometric Society, vol. 47(5), pages 1145-50, September.
  4. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 217-35, June.
  5. 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 350-65, June.
  6. Dixit, Avinash K & Stiglitz, Joseph E, 1975. "Monopolistic Competition and Optimum Product Diversity," The Warwick Economics Research Paper Series (TWERPS) 64, University of Warwick, Department of Economics.
  7. 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.
  8. 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.
  9. Shaked, Avner & Sutton, John, 1982. "Relaxing Price Competition through Product Differentiation," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 3-13, January.
  10. Shaked, Avner & Sutton, John, 1983. "Natural Oligopolies," Econometrica, Econometric Society, vol. 51(5), pages 1469-83, September.
  11. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
  12. Wooders, Myrna Holtz & Zame, William R, 1984. "Approximate Cores of Large Games," Econometrica, Econometric Society, vol. 52(6), pages 1327-50, November.
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Cited by:
  1. Ivan Arribas & Amparo Urbano, 2003. "Nash Equilibria In A Model Of Multiproduct Price Competition: An Assignment Problem," Working Papers. Serie AD 2003-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  2. Wooders, Myrna, 2008. "Market games and clubs," MPRA Paper 33968, University Library of Munich, Germany, revised Dec 2010.
  3. 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.
  4. 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).

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