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Equilibrium vertical differentiation in a Bertrand model with capacity precommitment

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  • BOCCARD, Nicolas
  • WAUTHY, Xavier Y.

Abstract

Both quality differentiation and capacity commitment have been shown to relax price competition. However, their joint influence on the outcome of price competition has not yet been assessed. In this article, we consider a three-stage game in which firms choose quality, then commit to capacity and, finally, compete in price. When the cost of quality is negligible, we show that firms do not differentiate their products in a subgame perfect equilibrium, in other words, capacity precommitment completely eliminates the incentive to differentiate by quality.

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Paper provided by Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) in its series CORE Discussion Papers RP with number -2246.

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Handle: RePEc:cor:louvrp:-2246

Note: In : International Journal of Industrial Organization, 28(3), 288-297, 2010
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  1. Irmen, Andreas & Thisse, Jacques-Francois, 1998. "Competition in Multi-characteristics Spaces: Hotelling Was Almost Right," Journal of Economic Theory, Elsevier, vol. 78(1), pages 76-102, January.
  2. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  3. Dixit, Avinash, 1979. "The Role of Investment in Entry-Deterrence," The Warwick Economics Research Paper Series (TWERPS) 140, University of Warwick, Department of Economics.
  4. Anderson, Simon P & de Palma, Andre, 1988. "Spatial Price Discrimination with Heterogeneous Products," Review of Economic Studies, Wiley Blackwell, vol. 55(4), pages 573-92, October.
  5. de Palma, A, et al, 1985. "The Principle of Minimum Differentiation Holds under Sufficient Heterogeneity," Econometrica, Econometric Society, vol. 53(4), pages 767-81, July.
  6. Economides, Nicholas, 1989. "Quality variations and maximal variety differentiation," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 21-29, February.
  7. Vives, Xavier, 1989. "Cournot and the oligopoly problem," European Economic Review, Elsevier, vol. 33(2-3), pages 503-514, March.
  8. Lambson Val Eugene, 1994. "Some Results on Optimal Penal Codes in Asymmetric Bertrand Supergames," Journal of Economic Theory, Elsevier, vol. 62(2), pages 444-468, April.
  9. Kuhn, Kai-Uwe, 1994. "Labour Contracts, Product Market Oligopoly, and Involuntary Unemployment," Oxford Economic Papers, Oxford University Press, vol. 46(3), pages 366-84, July.
  10. Shaked, Avner & Sutton, John, 1982. "Relaxing Price Competition through Product Differentiation," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 3-13, January.
  11. Davidson, Carl & Deneckere, Raymond J, 1990. "Excess Capacity and Collusion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(3), pages 521-41, August.
  12. Raymond Deneckere & Dan Kovenock, 1988. "Price Leadership," Discussion Papers 773, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  13. Lutz, Stefan, 1996. "Vertical Product Differentiation and Entry Deterrence," CEPR Discussion Papers 1455, C.E.P.R. Discussion Papers.
  14. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  15. GABSZEWICZ, Jean J. & THISSE, Jacques-François, . "Price competition, quality and income disparities," CORE Discussion Papers RP -370, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  16. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
  17. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-58, March.
  18. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-31, June.
  19. Benoit, Jean-Pierre & Krishna, Vijay, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 23-35, January.
  20. Brock, William A & Scheinkman, Jose A, 1985. "Price Setting Supergames with Capacity Constraints," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 371-82, July.
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Cited by:
  1. E. Bacchiega & A. Minniti, 2013. "Training and Product Quality in Unionized Oligopolies," Working Papers wp871, Dipartimento Scienze Economiche, Universita' di Bologna.
  2. WAUTHY, Xavier Y., . "Market coverage and the nature of product differentiation: a note," CORE Discussion Papers RP -2212, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Makoto Yano & Takashi Komatsubara, 2012. "Price Competition or Tacit Collusion," KIER Working Papers 807, Kyoto University, Institute of Economic Research.
  4. Li, Youping, 2014. "Price leadership in a vertically differentiated market," Economic Modelling, Elsevier, vol. 38(C), pages 67-70.
  5. Boccard, Nicolas & Wauthy, Xavier, 2003. "Sales Restriction, Quality Selection and the Mode of Competition," Working Papers of the Department of Economics, University of Girona 5, Department of Economics, University of Girona.

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