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Comparing Bertrand and Cournot Equilibria: A Geometric Approach

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Author Info
Leonard Cheng
Abstract

By presenting a geometric analysis of a duopoly, this article attempts to provide some insights into recent results by Singh and Vives regarding Bertrand and Cournot equilibria and the relative dominance of price and quantity strategies. It shows that under fairly general and reasonable assumptions (a) Cournot equilibrium prices (quantities) are higher than Bertrand equilibrium prices (quantities) and (b) a quantity (price) strategy dominates a price (quantity) strategy if the goods are substitutes (complements).

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File URL: http://links.jstor.org/sici?sici=0741-6261%28198521%2916%3A1%3C146%3ACBACEA%3E2.0.CO%3B2-1&origin=repec
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Publisher Info
Article provided by The RAND Corporation in its journal RAND Journal of Economics.

Volume (Year): 16 (1985)
Issue (Month): 1 (Spring)
Pages: 146-152
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Handle: RePEc:rje:randje:v:16:y:1985:i:spring:p:146-152

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  1. Arghya Ghosh & Manipushpak Mitra, 2008. "Comparing Bertrand and Cournot Outcomes in the Presence of Public Firms," Discussion Papers 2008-18, School of Economics, The University of New South Wales. [Downloadable!]
  2. Gregory E. Goering & Michael K. Pippenger & R. Kelley Pace, 1999. "Factor market effects upon product market equilibrium," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(1), pages 37-43.
  3. Jaideep Roy & Torben Tranæs, 2002. "Unrestricted Duopoly Competition: Equilibrium and Survival," CIE Discussion Papers 2002-01, University of Copenhagen. Department of Economics. Centre for Industrial Economics. [Downloadable!]
  4. Nolan Miller & Amit Pazgal, 2007. "Advertising budgets in competitive environments," Quantitative Marketing and Economics, Springer, vol. 5(2), pages 131-161, June. [Downloadable!] (restricted)
  5. Paolo Buccirossi, 2001. "Price Competition And Probabilistic Demand Yield The Cournot Outcome, The Bertrand Outcome, And Much More," Working Papers 41, Sapienza University of Rome, Department of Public Economics. [Downloadable!]
  6. Dale W. Henderson & Ning S. Zhu, 1995. "Uncertainty, instrument choice, and the uniqueness of Nash equilibrium: microeconomic and macroeconomic examples," International Finance Discussion Papers 526, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  7. Furth, D., 2007. "Anything goes with heterogeneous, but not with homogeneous oligopoly," CeNDEF Working Papers 07-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
  8. Sherrill Shaffer, 2008. "Earnings Valuation And Sources Of Growth," CAMA Working Papers 2008-32, Australian National University, Centre for Applied Macroeconomic Analysis. [Downloadable!]
  9. Chrysovalantou Milliou & Emmanuel Petrakis, 2009. "Timing of Technology Adoption and Product Market Competition," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
  10. Koji Okuguchi, 1989. "The Bertrand And Cournot Equilibria For International Duopoly With Multimarkets," International Economic Journal, Korean International Economic Association, vol. 3(4), pages 61-68, December. [Downloadable!] (restricted)
  11. Kisoo Kim, 1989. "Trade Restricting Policies Under Uncertainty And A Differentiated Duopoly," International Economic Journal, Korean International Economic Association, vol. 3(4), pages 45-59, December. [Downloadable!] (restricted)
  12. Kangsik, Choi, 2008. "Cournot-Bertrand competition in a unionized mixed duopoly," MPRA Paper 12787, University Library of Munich, Germany, revised 26 Dec 2008. [Downloadable!]
  13. Jim Y. Jin & Tatiana Damjanovic & Osiris J.Parcero, 2005. "Price and Output Comparison under Alternative Duopoly Structures," CRIEFF Discussion Papers 0516, Centre for Research into Industry, Enterprise, Finance and the Firm. [Downloadable!]
  14. Choi, Kangsik, 2008. "Comparing Cournot and Bertrand Competition in a Unionized Mixed Duopoly," MPRA Paper 15468, University Library of Munich, Germany, revised 27 May 2009. [Downloadable!]
  15. Luca Lambertini, 1996. "Strategic Delegation and the Shape of Market Competition," Working Papers 267, Dipartimento Scienze Economiche, Universita' di Bologna. [Downloadable!]
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  16. Gian-Italo Bischi & Ahmad K. Naimzada & Lucia Sbragia, 2004. "Oligopoly Games with Local Monopolistic Approximation," Working Papers 81, University of Milano-Bicocca, Department of Economics, revised Nov 2004. [Downloadable!]
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  17. Jim Jin & Osiris J. Parcero, 2006. "Competitiveness and Conjectural Variation in Duopoly Markets," CRIEFF Discussion Papers 0613, Centre for Research into Industry, Enterprise, Finance and the Firm. [Downloadable!]
  18. Miller, Nolan & Pazgal, Amit, 2002. "Strategic Trade and Delegated Competition," Working Paper Series rwp02-042, Harvard University, John F. Kennedy School of Government. [Downloadable!]
  19. M. Dolores Alepuz & Santiago J. Rubio & Juan Castro, 1991. "Competencia de precios y cantidades en un duopolio de recursos naturales no renovables con diferenciación de producto," Investigaciones Economicas, Fundación SEPI, vol. 15(3), pages 555-573, September. [Downloadable!]
  20. Ivaldi, Marc & Jullien, Bruno & Rey, Patrick & Seabright, Paul & Tirole, Jean, 2003. "The Economics of Unilateral Effects," IDEI Working Papers 222, Institut d'Économie Industrielle (IDEI), Toulouse. [Downloadable!]
  21. Markus Pasche, 2002. "Heterogeneous Behavioral Rules in the Oligopolistic Case," Working Paper Series B 2002-01, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultïät. [Downloadable!]
  22. Paolo Buccirossi, 2000. "Buyer’S Decisions And Price Competition," Working Papers 36, Sapienza University of Rome, Department of Public Economics. [Downloadable!]
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