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When Different Market Concentration Indices Agree

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  • Hennessy, David A.
  • Lapan, Harvey E.

Abstract

Market concentration ratios are popular statistics for characterizing the extent of market dominance in an imperfectly competitive market, but these ratios may not agree when comparing two markets. Neither do they necessarily agree with the Herfindahl-Hirschman or entropy indices. This letter compares two Cournot oligopoly markets in which firms have constant unit costs. It is shown that the majorization pre-ordering on normalized marketing margin vectors is both necessary and sufficient for all aforementioned indices to agree on which is the more concentrated market.

Suggested Citation

  • Hennessy, David A. & Lapan, Harvey E., 2006. "When Different Market Concentration Indices Agree," Staff General Research Papers Archive 12550, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genres:12550
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    1. Philippe Aghion & Nick Bloom & Richard Blundell & Rachel Griffith & Peter Howitt, 2005. "Competition and Innovation: an Inverted-U Relationship," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 701-728.
    2. Harvey E. Lapan & David A. Hennessy, 2002. "Symmetry and order in the portfolio allocation problem," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 19(4), pages 747-772.
    3. Zhao, Jingang, 2001. "A characterization for the negative welfare effects of cost reduction in Cournot oligopoly," International Journal of Industrial Organization, Elsevier, vol. 19(3-4), pages 455-469, March.
    4. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
    5. Chambers,Robert G. & Quiggin,John, 2000. "Uncertainty, Production, Choice, and Agency," Cambridge Books, Cambridge University Press, number 9780521785235.
    6. Efe A. Ok, 1997. "A note on the existence of progressive tax structures," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 527-543.
    7. repec:bla:econom:v:50:y:1983:i:197:p:3-17 is not listed on IDEAS
    8. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    9. Greg Shaffer & Stephen W. Salant, 1999. "Unequal Treatment of Identical Agents in Cournot Equilibrium," American Economic Review, American Economic Association, vol. 89(3), pages 585-604, June.
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    Cited by:

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    2. ZHANG, Lu & GUO, Qing & ZHANG, Junbiao & HUANG, Yong & XIONG, Tao, 2015. "Did China׳s rare earth export policies work? — Empirical evidence from USA and Japan," Resources Policy, Elsevier, vol. 43(C), pages 82-90.
    3. Baum, Leonard & Bryson, Joanna J., 2024. "Policy lessons from China: A quantitative examination of China's new competition regime for the digital economy," SocArXiv zyc6s, Center for Open Science.
    4. Darko Tipurić & Mirjana Pejić Bach, 2009. "Changes in Industrial Concentration in the Croatian Economy (1995-2006)," EFZG Working Papers Series 0903, Faculty of Economics and Business, University of Zagreb.
    5. Mohammed, Nafisah & ismail, abdul & Muhammad, Junaina, 2016. "Concentration and Competition in Dual Banking Industry: A Structural Approach," Jurnal Ekonomi Malaysia, Faculty of Economics and Business, Universiti Kebangsaan Malaysia, vol. 50(2), pages 49-70.
    6. Satya R. Chakravarty & Palash Sarkar, 2021. "An inequality paradox: relative versus absolute indices?," METRON, Springer;Sapienza Università di Roma, vol. 79(2), pages 241-254, August.

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