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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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File URL: http://dx.doi.org/10.1016/j.ijindorg.2009.09.005
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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. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
  2. Economides, Nicholas, 1989. "Quality variations and maximal variety differentiation," Regional Science and Urban Economics, Elsevier, vol. 19(1), pages 21-29, February.
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  4. Benoit, Jean-Pierre & Krishna, Vijay, 1987. "Dynamic Duopoly: Prices and Quantities," Review of Economic Studies, Wiley Blackwell, vol. 54(1), pages 23-35, January.
  5. Irmen, A. & Thisse, J.-F., . "Competition in multi-characteristics spaces: Hotelling was almost right," CORE Discussion Papers RP -1305, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  6. Vives, Xavier, 1989. "Cournot and the oligopoly problem," European Economic Review, Elsevier, vol. 33(2-3), pages 503-514, March.
  7. Victor Ginsburgh & André De Palma & Yorgo Papageorgiou & Jacques-François Thisse, 1999. "The principle of minimum differentiation holds under sufficient heterogeneity," ULB Institutional Repository 2013/3319, ULB -- Universite Libre de Bruxelles.
  8. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-31, June.
  9. 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.
  10. 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.
  11. Dixit, Avinash, 1979. "The Role of Investment in Entry-Deterrence," The Warwick Economics Research Paper Series (TWERPS) 140, University of Warwick, Department of Economics.
  12. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-58, March.
  13. Shaked, Avner & Sutton, John, 1982. "Relaxing Price Competition through Product Differentiation," Review of Economic Studies, Wiley Blackwell, vol. 49(1), pages 3-13, January.
  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. 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.
  16. Lutz, Stefan, 1996. "Vertical Product Differentiation and Entry Deterrence," CEPR Discussion Papers 1455, C.E.P.R. Discussion Papers.
  17. 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).
  18. 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.
  19. 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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Citations

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Cited by:
  1. Li, Youping, 2014. "Price leadership in a vertically differentiated market," Economic Modelling, Elsevier, vol. 38(C), pages 67-70.
  2. Xavier Y Wauthy, 2010. "Market coverage and the nature of product differentiation: a note," Economics Bulletin, AccessEcon, vol. 30(2), pages 1129-1136.
  3. 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.
  4. E. Bacchiega & A. Minniti, 2013. "Training and Product Quality in Unionized Oligopolies," Working Papers wp871, Dipartimento Scienze Economiche, Universita' di Bologna.
  5. Makoto Yano & Takashi Komatsubara, 2012. "Price Competition or Tacit Collusion," KIER Working Papers 807, Kyoto University, Institute of Economic Research.

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