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Bertrand-Edgeworth equilibrium with a large number of firms

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  • Roy Chowdhury, Prabal

Abstract

We examine a model of price competition with strictly convex costs where the firms simultaneously decide on both price and quantity, are free to supply less than the quantity demanded, and there is discrete pricing. If firms are symmetric then, for a large class of residual demand functions, there is a unique equilibrium in pure strategies whenever, for a fixed grid size, the number of firms is sufficiently large. Moreover, this equilibrium price is within a grid-unit of the competitive price. The results go through to a large extent when the firms are asymmetric, or they are symmetric but play a two stage game and the tie-breaking rule is `weakly manipulable'.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 3353.

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Date of creation: Apr 2007
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Handle: RePEc:pra:mprapa:3353

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Keywords: Bertrand equilibrium; Edgeworth paradox; tie-breaking rule; rationing rule; folk theorem of perfect competition;

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Citations

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Cited by:
  1. repec:ebl:ecbull:v:12:y:2008:i:29:p:1-8 is not listed on IDEAS
  2. Massimo A. De Francesco, 2008. "Existence of pure strategy equilibrium in Bertrand-Edgeworth games with imperfect divisibility of money," Economics Bulletin, AccessEcon, vol. 12(29), pages 1-8.
  3. Hirata, Daisuke, 2008. "Bertrand-Edgeworth Equilibrium in Oligopoly," MPRA Paper 7946, University Library of Munich, Germany.
  4. De Francesco, Massimo A., 2008. "Existence of pure strategy equilibria in Bertrand-Edgeworth games with imperfect divisibility of money," MPRA Paper 10826, University Library of Munich, Germany.

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