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Bertrand equilibrium in a differentiated duopoly

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  • Bester,Helmut

    (University of Bonn)

Abstract

This paper studies the stability of price competition in a horizontally differentiated duopoly. The firms' demand is derived from a distribution of consumer preferences. This description of the consumer sector is applicable to a large class of differentiated commodity markets, including spatial competition models. The author shows that there is a (pure) price-setting equilibrium when consumer tastes are sufficiently dispersed. Further conditions on the dispersedness of preferences guarantee uniqueness of the equilibrium. In addition, the author examines the relation between consumer preferences and the competitiveness and efficiency of the equilibrium outcome. Copyright 1992 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Discussion Paper Serie A with number 209.

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Date of creation: Nov 1988
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Handle: RePEc:bon:bonsfa:209

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: Price competition; Product differentiation; Oligopoly theory;

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Cited by:
  1. Marco Alderighi & Claudio A. Piga, 2008. "The Circular City with Heterogeneous Firms," Discussion Paper Series 2008_03, Department of Economics, Loughborough University, revised Jul 2008.
  2. Jan Bouckaert & Hans Degryse, 2002. "Softening Competition by Enhancing Entry: An Example from the Banking Industry," CESifo Working Paper Series 782, CESifo Group Munich.
  3. Hideo Konishi, 1999. "Concentration of Competing Retail Stores," Boston College Working Papers in Economics 447, Boston College Department of Economics.
  4. Damme, E.E.C. van & Hurkens, J.P.M., 1993. "Commitment robust equilibria and endogenous timing," Discussion Paper 1993-56, Tilburg University, Center for Economic Research.
  5. Pigeard de Almeida Prado, Fernando & Belitsky, Vladimir & Ferreira, Alex Luiz, 2011. "Social interactions, product differentiation and discontinuity of demand," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 642-653.
  6. Marcel Boyer & Philippe Mahenc & Michel Moreaux, 2002. "Entry Preventing Locations Under Incomplete Information," CIRANO Working Papers 2002s-15, CIRANO.
  7. Carbonell-Nicolau, Oriol, 2011. "On the existence of pure-strategy perfect equilibrium in discontinuous games," Games and Economic Behavior, Elsevier, vol. 71(1), pages 23-48, January.
  8. Peeters, Ronald & Strobel, Martin, 2009. "Pricing behavior in asymmetric markets with differentiated products," International Journal of Industrial Organization, Elsevier, vol. 27(1), pages 24-32, January.
  9. Sinitsyn, Maxim, 2009. "Price dispersion in duopolies with heterogeneous consumers," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 197-205, March.
  10. Krahmer, Daniel, 2003. "Entry and experimentation in oligopolistic markets for experience goods," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1201-1213, October.
  11. Peeters,Ronald & Strobel,Martin, 2005. "Differentiated Product Markets: An Experimental Test of Two Equilibrium Concepts," Research Memorandum 020, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  12. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
  13. Roman Inderst & Marco Ottaviani, 2012. "Competition through Commissions and Kickbacks," American Economic Review, American Economic Association, vol. 102(2), pages 780-809, April.
  14. Bester, Helmut & Petrakis, Emmanuel, 1995. "Price competition and advertising in oligopoly," European Economic Review, Elsevier, vol. 39(6), pages 1075-1088, June.

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