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Bertrand Equilibrium in a Differentiated Duopoly

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  • Bester, Helmut

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

Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 33 (1992)
Issue (Month): 2 (May)
Pages: 433-48

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Handle: RePEc:ier:iecrev:v:33:y:1992:i:2:p:433-48

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Cited by:
  1. Boyer, Marcel & Mahenc, Philippe & Moreaux, Michel, 2003. "Entry preventing locations under incomplete information," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 809-829, June.
  2. Konishi, Hideo, 2005. "Concentration of competing retail stores," Journal of Urban Economics, Elsevier, vol. 58(3), pages 488-512, November.
  3. 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.
  4. Xin, Baogui & Chen, Tong, 2011. "On a master-slave Bertrand game model," Economic Modelling, Elsevier, vol. 28(4), pages 1864-1870, July.
  5. Marco Alderighi & Claudio A. Piga, 2008. "The Circular City with Heterogenous Firms," Working Paper Series 16-08, The Rimini Centre for Economic Analysis, revised Jan 2008.
  6. Bouckaert, J.M.C. & Degryse, H.A., 2002. "Softening Competition by Enhancing entry: An Example from the Banking Industry," Discussion Paper 2002-86, Tilburg University, Center for Economic Research.
  7. 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.
  8. Sinitsyn, Maxim, 2009. "Price dispersion in duopolies with heterogeneous consumers," International Journal of Industrial Organization, Elsevier, vol. 27(2), pages 197-205, March.
  9. Roman Inderst & Marco Ottaviani, 2012. "Competition through Commissions and Kickbacks," American Economic Review, American Economic Association, vol. 102(2), pages 780-809, April.
  10. 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.
  11. Bester, Helmut & Petrakis, Emmanuel, 1995. "Price competition and advertising in oligopoly," European Economic Review, Elsevier, vol. 39(6), pages 1075-1088, June.
  12. 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).
  13. 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.
  14. 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.

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