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Bertrand Competition with Non-rigid Capacity Constraints

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Prabal, Roy Chowdhury

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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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Find related papers by JEL classification:
D5 - Microeconomics - - General Equilibrium and Disequilibrium
L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

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  1. Boccard, Nicolas & Wauthy, Xavier, 2004. "Bertrand competition and Cournot outcomes: a correction," Economics Letters, Elsevier, vol. 84(2), pages 163-166, August. [Downloadable!] (restricted)
  2. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer, vol. 5(1), pages 19-32, January.
  3. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116. [Downloadable!] (restricted)
  4. Boccard, Nicolas & Wauthy, Xavier, 2000. "Bertrand competition and Cournot outcomes: further results," Economics Letters, Elsevier, vol. 68(3), pages 279-285, September. [Downloadable!] (restricted)
  5. Chaudhuri, Prabal Ray, 1996. "The contestable outcome as a Bertrand equilibrium," Economics Letters, Elsevier, vol. 50(2), pages 237-242, February. [Downloadable!] (restricted)
  6. Dixit, Avinash, 1980. "The Role of Investment in Entry-Deterrence," Economic Journal, Royal Economic Society, vol. 90(357), pages 95-106, March. [Downloadable!] (restricted)
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  7. 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. [Downloadable!] (restricted)
  8. Allen, Beth & Hellwig, Martin, 1986. "Bertrand-Edgeworth Oligopoly in Large Markets," Review of Economic Studies, Blackwell Publishing, vol. 53(2), pages 175-204, April. [Downloadable!] (restricted)
  9. Prabal Chowdhury & Kunal Sengupta, 2004. "Coalition-proof Bertrand equilibria," Economic Theory, Springer, vol. 24(2), pages 307-324, August. [Downloadable!] (restricted)
  10. David M. Kreps & Jose A. Scheinkman, 1983. "Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes," Bell Journal of Economics, The RAND Corporation, vol. 14(2), pages 326-337, Autumn. [Downloadable!] (restricted)
  11. Maggi, Giovanni, 1996. "Strategic Trade Policies with Endogenous Mode of Competition," American Economic Review, American Economic Association, vol. 86(1), pages 237-58, March. [Downloadable!] (restricted)
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