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How Many Firms Should Be Leaders? Beneficial Concentration Revisited

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Author Info

  • Hiroaki Ino

    ()
    (Kwansei Gakuin University)

  • Toshihiro Matsumura

    ()
    (University of Tokyo)

Abstract

We investigate the relationship between the Herfindahl-Hirschman Index (HHI) and welfare. First, we discuss the model wherein m leaders and N - m followers compete. Daughety (1990) finds that under linear demand and constant marginal cost, the Stackelberg model yields larger welfare and HHI than the Cournot model. Thus, he demonstrates that beneficial concentration occurs. We find that this always occurs under general cost and demand functions when m is sufficiently large, but does not always occur when m is small. Next, we consider the free entry of followers, and find that beneficial concentration always occurs regardless of m. In particular, the more persistent the leadership, the more likely it is to be beneficial.

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File URL: http://192.218.163.163/RePEc/pdf/kgdp48.pdf
File Function: First version, 2009
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Bibliographic Info

Paper provided by School of Economics, Kwansei Gakuin University in its series Discussion Paper Series with number 48.

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Length: 37 pages
Date of creation: Oct 2009
Date of revision: Oct 2009
Handle: RePEc:kgu:wpaper:48

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Related research

Keywords: HHI; beneficial concentration; leadership; free entry market;

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Cited by:
  1. Marcella Scrimitore, 2010. "Managerial Incentives and Stackelberg Equilibria in Oligopoly," EERI Research Paper Series EERI_RP_2010_39, Economics and Econometrics Research Institute (EERI), Brussels.
  2. Etro, Federico, 2013. "Advertising and search engines. A model of leadership in search advertising," Research in Economics, Elsevier, vol. 67(1), pages 25-38.

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