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The Cournot-Bertrand Profit Differential : A Reversal Result In A Differentiated Duopoly With Wage Bargaining

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Author Info
López, Mónica Correa (University of Warwick)
Nayor, Robin A. (University of Warwick)
Abstract

This paper compares Cournot and Bertrand equilibria in a downstream differentiated duopoly in which the input price (wage) paid by each downstream firm is the outcome of a strategic bargain with its upstream supplier (labour union). We show that the standard result that Cournot equilibrium profits exceed those under Bertrand competition - when the differentiated duopoly game is played in imperfect substitutes - is reversible. Whether equilibrium profits are higher under Cournot or Bertrand competition is shown to depend upon the nature of the upstream agents’ preferences, on the distribution of bargaining power over the input price and on the degree of product market differentiation. We find that the standard result holds unless unions are both powerful and place considerable weight on the wage argument in their utility function. One implication of this is that if the upstream agents are profit-maximising firms, then the standard result will obtain.

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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 631.

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Length: 36 pages
Date of creation: 2002
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Handle: RePEc:wrk:warwec:631

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Keywords: differentiated duopoly ; wage bargaining ; Cournot ; Bertrand.;

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Find related papers by JEL classification:
D43 - Microeconomics - - Market Structure and Pricing - - - Oligopoly and Other Forms of Market Imperfection
J50 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - General
L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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  1. Henrick Horn & Asher Wolinsky, 1988. "Bilateral Monopolies and Incentives for Merger," RAND Journal of Economics, The RAND Corporation, vol. 19(3), pages 408-419, Autumn. [Downloadable!] (restricted)
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  2. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June. [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. Dowrick, Steve, 1989. "Union-Oligopoly Bargaining," Economic Journal, Royal Economic Society, vol. 99(398), pages 1123-42, December. [Downloadable!] (restricted)
  5. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August. [Downloadable!] (restricted)
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  6. Davidson, Carl, 1988. "Multiunit Bargaining in Oligopolistic Industries," Journal of Labor Economics, University of Chicago Press, vol. 6(3), pages 397-422, July. [Downloadable!] (restricted)
  7. Naylor, Robin, 1998. "International trade and economic integration when labour markets are generally unionised," European Economic Review, Elsevier, vol. 42(7), pages 1251-1267, July. [Downloadable!] (restricted)
  8. 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)
  9. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June. [Downloadable!] (restricted)
  10. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July. [Downloadable!] (restricted)
  11. Naylor, Robin, 1999. "Union Wage Strategies and International Trade," Economic Journal, Royal Economic Society, vol. 109(452), pages 102-25, January. [Downloadable!] (restricted)
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