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Bertrand-Edgeworth duopoly with linear costs: A tale of two paradoxes

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Author Info
Prabal Roy Chowdhury () (Indian Statistical Institute, New Delhi)

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Abstract

Consider a Bertrand-Edgeworth duopoly with linear cost functions. If the firms produce to stock then no Nash equilibrium in pure strategies exists. If, however, the firms produce to order then all subgame perfect Nash equilibria involve the firms charging a price equal to marginal cost.

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Publisher Info
Paper provided by Indian Statistical Institute, New Delhi, India in its series Indian Statistical Institute, Planning Unit, New Delhi Discussion Papers with number 04-13.

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Length: 11 pages
Date of creation: Feb 2004
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Handle: RePEc:ind:isipdp:04-13

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Related research
Keywords: Bertrand paradox; Edgeworth paradox; linear cost;

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Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Xavier Vives, 2001. "Oligopoly Pricing: Old Ideas and New Tools," MIT Press Books, The MIT Press, edition 1, volume 1, number 026272040x.
  2. Mestelman, Stuart & Welland, Deborah & Welland, Douglas, 1987. "Advance production in posted offer markets," Journal of Economic Behavior & Organization, Elsevier, vol. 8(2), pages 249-264, June. [Downloadable!] (restricted)
  3. 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)
  4. Maskin, Eric & Tirole, Jean, 1988. "A Theory of Dynamic Oligopoly, II: Price Competition, Kinked Demand Curves, and Edgeworth Cycles," Econometrica, Econometric Society, vol. 56(3), pages 571-99, May. [Downloadable!] (restricted)
  5. Tasnadi, Attila, 1999. "Existence of pure strategy Nash equilibrium in Bertrand-Edgeworth oligopolies," Economics Letters, Elsevier, vol. 63(2), pages 201-206, May. [Downloadable!] (restricted)
  6. Maskin, Eric, 1986. "The Existence of Equilibrium with Price-Setting Firms," American Economic Review, American Economic Association, vol. 76(2), pages 382-86, May. [Downloadable!] (restricted)
  7. Levitan, Richard & Shubik, Martin, 1972. "Price Duopoly and Capacity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(1), pages 111-22, February. [Downloadable!] (restricted)
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  8. Tasnadi, Attila, 1999. "A two-stage Bertrand-Edgeworth game," Economics Letters, Elsevier, vol. 65(3), pages 353-358, December. [Downloadable!] (restricted)
  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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