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Bertrand Competition with Non-rigid Capacity Constraints

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  • Prabal, Roy Chowdhury

Abstract

We examine a model of Bertrand competition with non-rigid capacity constraints, so that by incurring an additional cost, firms can produce beyond capacity. We find that there is an interval of prices such that a price can be sustained as a pure strategy Nash equilibrium if and only if it lies in this interval. We then examine the properties of this set as (a) the number of firms becomes large and (b) the capacity cost increases.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 9172.

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Date of creation: Jun 2008
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Handle: RePEc:pra:mprapa:9172

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  1. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-58, March.
  2. Dixit, Avinash, 1979. "The Role of Investment in Entry-Deterrence," The Warwick Economics Research Paper Series (TWERPS) 140, University of Warwick, Department of Economics.
  3. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Wiley Blackwell, vol. 53(1), pages 27-41, January.
  4. Allen, Beth & Hellwig, Martin, 1986. "Bertrand-Edgeworth Oligopoly in Large Markets," Review of Economic Studies, Wiley Blackwell, vol. 53(2), pages 175-204, April.
  5. Chaudhuri, Prabal Ray, 1996. "The contestable outcome as a Bertrand equilibrium," Economics Letters, Elsevier, vol. 50(2), pages 237-242, February.
  6. BOCCARD , Nicolas & WAUTHY, Xavier, . "Bertrand competition and Cournot outcomes: futher results," CORE Discussion Papers RP -1474, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. Prabal Chowdhury & Kunal Sengupta, 2004. "Coalition-proof Bertrand equilibria," Economic Theory, Springer, vol. 24(2), pages 307-324, August.
  8. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x, December.
  9. Boccard, Nicolas & Wauthy, Xavier, 2004. "Bertrand competition and Cournot outcomes: a correction," Economics Letters, Elsevier, vol. 84(2), pages 163-166, August.
  10. Novshek, William & Chowdhury, Prabal Roy, 2003. "Bertrand equilibria with entry: limit results," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 795-808, June.
  11. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
  12. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer, vol. 5(1), pages 19-32, January.
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Cited by:
  1. Bandyopadhyay, Subhayu & Marjit, Sugata & Yang, Lei, 2011. "An Evaluation of the Employment Effects of Barriers to Outsourcing," IZA Discussion Papers 5426, Institute for the Study of Labor (IZA).
  2. repec:hal:wpaper:hal-00709093 is not listed on IDEAS
  3. repec:hal:cesptp:hal-00709093 is not listed on IDEAS
  4. Makoto Yano & Takashi Komatsubara, 2012. "Price Competition or Tacit Collusion," KIER Working Papers 807, Kyoto University, Institute of Economic Research.

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