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Comparing Cournot and Stackelberg Duopoly

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  • Chuman, Eiichi

Abstract

Equilibrium properties of Cournot and Stackelberg duopoly are compared with respect to outputs, profits, and welfare, the results of which depend on some conditions expressed in terms of the elasticities of the cost and demand functions. In particular, the case where the condition owing to Fisher (1961), Hahn (1962), and Okuguchi (1964, 1976, 1999) is not satisfied exactly corresponds to the case where the marginal revenue curve is steeper than the demand curve, the marginalcost curve is decreasing, and the demand curve is elastic to some extent, the case of which gives rise to different results from Okuguchi's (1999).

Suggested Citation

  • Chuman, Eiichi, 2010. "Comparing Cournot and Stackelberg Duopoly," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 51(2), pages 59-73, December.
    • Handle: RePEc:hit:hitjec:v:51:y:2010:i:2:p:59-73
    DOI: 10.15057/18776
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    References listed on IDEAS

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    1. al-Nowaihi, A. & Levine, P. L., 1985. "The stability of the cournot oligopoly model: A reassessment," Journal of Economic Theory, Elsevier, vol. 35(2), pages 307-321, August.
    2. R. D. Theocharis, 1960. "On the Stability of the Cournot Solution on the Oligopoly Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 27(2), pages 133-134.
    3. Brander, James A. & Spencer, Barbara J., 1984. "Trade warfare: Tariffs and cartels," Journal of International Economics, Elsevier, vol. 16(3-4), pages 227-242, May.
    4. Gal-Or, Esther, 1985. "First Mover and Second Mover Advantages," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 649-653, October.
    5. Brander, James A., 1995. "Strategic trade policy," Handbook of International Economics, in: G. M. Grossman & K. Rogoff (ed.), Handbook of International Economics, edition 1, volume 3, chapter 27, pages 1395-1455, Elsevier.
    6. Shapiro, Carl, 1989. "Theories of oligopoly behavior," Handbook of Industrial Organization, in: R. Schmalensee & R. Willig (ed.), Handbook of Industrial Organization, edition 1, volume 1, chapter 6, pages 329-414, Elsevier.
    7. Franklin M. Fisher, 1961. "The Stability of the Cournot Oligopoly Solution: The Effects of Speeds of Adjustment and Increasing Marginal Costs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 28(2), pages 125-135.
    8. K. Okuguchi, 1964. "The Stability of The Cournot Oligopoly Solution: A Further Generalization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 31(2), pages 143-146.
    9. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 29(4), pages 329-331.
    10. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
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    More about this item

    Keywords

    Cournot and Stackelberg Duopoly; Fisher-Hahn-Okuguchi Condition; The Elasticities of the Cost and Demand Functions;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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