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A dynamic entry and price game with capacity indivisibility

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  • Massimo A. De Francesco

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Abstract

Strategic market interaction is here modelled as a two-stage game in which potential entrants choose capacities and active firms compete in prices. Due to capital indivisibility, the capacity choice is made from a finite grid and there are substantial economies of scale. In the simplest version of the model assuming a single production technique, the equilibrium of the game is shown to depend on the market size - namely, on total demand at a price equal to the minimum average cost -relative to the firm minimum efficient scale: if the market is sufficiently large, then the competitive price (the minimum of average cost) emerges at a subgame-perfect equilibrium of the game; if the market is not that large, then the firms randomize in prices on the equilibrium path of the game. The role of the market size for the competitive outcome is even more important for the case of two production techniques

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 577.

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Date of creation: Oct 2009
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Handle: RePEc:usi:wpaper:577

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Keywords: Bertrand-Edgeworth; oligopoly; price game; mixed strategy equilibrium; capacity indivisibility;

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  1. 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.
  2. Hirata Daisuke, 2009. "Asymmetric Bertrand-Edgeworth Oligopoly and Mergers," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-25, July.
  3. Vives, Xavier, 1986. "Rationing rules and Bertrand-Edgeworth equilibria in large markets," Economics Letters, Elsevier, vol. 21(2), pages 113-116.
  4. Boccard, Nicolas & Wauthy, Xavier, 2000. "Bertrand competition and Cournot outcomes: further results," Economics Letters, Elsevier, vol. 68(3), pages 279-285, September.
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