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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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    File URL: http://192.218.163.163/RePEc/pdf/kgdp098.pdf
    File Function: First version, 2013
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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. Sajal Lahiri & Yoshiyasu Ono, 2003. "Export-Oriented Foreign Direct Investment and Local Content Requirement," Pacific Economic Review, Wiley Blackwell, vol. 8(1), pages 1-14, January.
    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. Matsumura, Toshihiro, 1999. "Quantity-setting oligopoly with endogenous sequencing," International Journal of Industrial Organization, Elsevier, vol. 17(2), pages 289-296, February.
    5. Pal, Debashis, 1998. "Endogenous timing in a mixed oligopoly," Economics Letters, Elsevier, vol. 61(2), pages 181-185, November.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    multiple leaders; Stackelberg; Cournot; limit result; integer constraint; convex cost;

    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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