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Asymmetric welfare implication between a small number of leaders and a small number of followers in Stackelberg models

Author

Listed:
  • Hiroaki Ino

    (School of Economics, Kwansei Gakuin University)

  • Toshihiro Matsumura

    (Institute of Social Science, the University of Tokyo)

Abstract

We investigate a Stackelberg oligopoly model in which m leaders and N-m followers compete. We find an asymmetric welfare implication of the Stackelberg model. Introducing a small number of leaders into the Cournot model can reduce welfare. However, introducing a small number of followers into the Cournot model always improves welfare. The key result behind this asymmetry is contrasting limit results in the cases where m → 0 and m → N. We also discuss the optimal number of leaders and the integer constraint for the number of the firms.

Suggested Citation

  • Hiroaki Ino & Toshihiro Matsumura, 2013. "Asymmetric welfare implication between a small number of leaders and a small number of followers in Stackelberg models," Discussion Paper Series 098, School of Economics, Kwansei Gakuin University, revised Jan 2013.
  • Handle: RePEc:kgu:wpaper:098
    as

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    References listed on IDEAS

    as
    1. Lahiri, Sajal & Ono, Yoshiyasu, 1998. "Foreign Direct Investment, Local Content Requirement, and Profit Taxation," Economic Journal, Royal Economic Society, vol. 108(447), pages 444-457, March.
    2. Hiroaki Ino & Toshihiro Matsumura, 2012. "How Many Firms Should Be Leaders? Beneficial Concentration Revisited," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 53(4), pages 1323-1340, November.
    3. Junichiro Ishida & Toshihiro Matsumura & Noriaki Matsushima, 2011. "Market Competition, R&D And Firm Profits In Asymmetric Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 59(3), pages 484-505, September.
    4. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    5. Lahiri, S. & Ono, Y., 1998. "Export-Oriented Foreign Direct Investment and Local Content Requirement," ISER Discussion Paper 0456, Institute of Social and Economic Research, Osaka University.
    6. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    multiple leaders; Stackelberg; Cournot; limit result; integer constraint; convex cost;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L40 - Industrial Organization - - Antitrust Issues and Policies - - - General

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