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Unrestricted Duopoly Competition: Equilibrium and Survival

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Author Info
Jaideep Roy (Trinity College, Dublin)
Torben Tranæs (Danish National Institute of Social Research)

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Abstract

This paper is inspired by the ever lasting discussions over Bertrand's (1883) price-deviation critique of Cournot's (1838) duopoly analysis. We consider a homogenous good duopoly with constant marginal costs and no capacity constraints, but we allow firms to set either a quantity, a price, or both. We derive two main results. First, this model has two duopoly equilibria, one where firms commit only to prices (Bertrand behavior) and one where they commit only to quantities (Cournot behavior), and it has equilibria supporting a perfect contestable market where one firm supplies the entire market at a price equal to marginal costs. Second, the Cournot behavior is best fit for survival in terms of evolutionary stability. This provides an argument for the existence of quantity-commitment institutions like auctions in oligopolistic markets for homogenous goods.

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Publisher Info
Paper provided by University of Copenhagen. Department of Economics. Centre for Industrial Economics in its series CIE Discussion Papers with number 2002-01.

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Length: 15 pages
Date of creation: Jun 2002
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Handle: RePEc:kud:kuieci:2002-01

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Related research
Keywords: homegenous duopoly; Cournot vs. Bertrand; price and quantity competition;

Find related papers by JEL classification:
A1 - General Economics and Teaching - - General Economics
L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance
D4 - Microeconomics - - Market Structure and Pricing

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References listed on IDEAS
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  1. Cheng-Zhong Qin & Charles Stuart, 1997. "Bertrand versus Cournot revisited," Economic Theory, Springer, vol. 10(3), pages 497-507. [Downloadable!] (restricted)
  2. Dixon, Huw, 1986. "The Cournot and Bertrand Outcomes as Equilibria in a Strategic Metagame," Economic Journal, Royal Economic Society, vol. 96(380a), pages 59-70, Supplemen. [Downloadable!] (restricted)
  3. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter. [Downloadable!] (restricted)
  4. Dixon, Huw, 1985. "Strategic Investment in an Industry with a Competitive Product Market," Journal of Industrial Economics, Blackwell Publishing, vol. 33(4), pages 483-99, June. [Downloadable!] (restricted)
  5. Okuguchi, Koji, 1987. "Equilibrium prices in the Bertrand and Cournot oligopolies," Journal of Economic Theory, Elsevier, vol. 42(1), pages 128-139, June. [Downloadable!] (restricted)
  6. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring. [Downloadable!] (restricted)
  7. Osborne, Martin J. & Pitchik, Carolyn, 1986. "Price competition in a capacity-constrained duopoly," Journal of Economic Theory, Elsevier, vol. 38(2), pages 238-260, April. [Downloadable!] (restricted)
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  8. 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)
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