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Endogenous entry under Bertrand-Edgeworth and Cournot competition with capacity indivisibility

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Author Info
Massimo A. De Francesco ()

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Abstract

Strategic market interaction is modelled as a two-stage game where potential entrants choose capacities and active firms compete in prices or quantities. Due to capital indivisibility, the capacity choice is made from a finite grid. In either strategic setting, the equilibrium of the game depends on the size of total demand at a price equal to the minimum average cost. With a sufficiently large market, the long-run competitive price emerges at a subgame-perfect equilibrium of either game. Failing the large market condition, equilibrium outcomes are quite different in the two games (in contrast to Kreps and Scheinkman), and neither game reproduces the competitive equilibrium.

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 480.

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Date of creation: May 2006
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Handle: RePEc:usi:wpaper:480

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Related research
Keywords: Entry Bertrand-Edgeworth Cournot capacity indivisibility

Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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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. Carl Davidson & Raymond Deneckere, 1986. "Long-Run Competition in Capacity, Short-Run Competition in Price, and the Cournot Model," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 404-415, Autumn. [Downloadable!] (restricted)
  3. 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)
  4. Novshek, William, 1980. "Cournot Equilibrium with Free Entry," Review of Economic Studies, Blackwell Publishing, vol. 47(3), pages 473-86, April. [Downloadable!] (restricted)
  5. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116. [Downloadable!] (restricted)
  6. Boccard, Nicolas & Wauthy, Xavier, 2000. "Bertrand competition and Cournot outcomes: further results," Economics Letters, Elsevier, vol. 68(3), pages 279-285, September. [Downloadable!] (restricted)
  7. Dasgupta, Partha & Maskin, Eric, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Blackwell Publishing, vol. 53(1), pages 1-26, January. [Downloadable!] (restricted)
  8. Massimo A. De Francesco, 2003. "On a property of mixed strategy equilibria of the pricing game," Economics Bulletin, Economics Bulletin, vol. 4(30), pages 1-8. [Downloadable!]
  9. 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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