IDEAS home Printed from https://ideas.repec.org/p/isu/genres/12550.html
   My bibliography  Save this paper

When Different Market Concentration Indices Agree

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www2.econ.iastate.edu/papers/paper_12550_06009.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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, January.
    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. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hrazdil, Karel & Zhang, Ray, 2012. "The importance of industry classification in estimating concentration ratios," Economics Letters, Elsevier, vol. 114(2), pages 224-227.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marat Ibragimov & Rustam Ibragimov, 2007. "Market Demand Elasticity and Income Inequality," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 579-587, September.
    2. Allanson, Paul & Hubbard, Lionel, 1999. "On the Comparative Evaluation of Agricultural Income Distributions in the European Union," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 26(1), pages 1-17, March.
    3. Karsu, Özlem & Morton, Alec, 2015. "Inequity averse optimization in operational research," European Journal of Operational Research, Elsevier, vol. 245(2), pages 343-359.
    4. Carbonell-Nicolau, Oriol & Llavador, Humberto, 2018. "Inequality reducing properties of progressive income tax schedules: the case of endogenous income," Theoretical Economics, Econometric Society, vol. 13(1), January.
    5. Jean-Yves Duclos & Paul Makdissi & Quentin Wodon, 2008. "Socially Improving Tax Reforms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(4), pages 1505-1537, November.
    6. Fatiha Bennia & Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2022. "Is body weight better distributed among men than among women? A robust normative analysis for France, the UK, and the US," Scandinavian Journal of Economics, Wiley Blackwell, vol. 124(1), pages 69-103, January.
    7. Benoît Tarroux, 2012. "Are equalization payments making Canadians better off? A two-dimensional dominance answer," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 10(1), pages 19-44, March.
    8. Imedio Olmedo, L. J. & Bárcena Martín, E., 2003. "Privación, status e imposición sobre la renta," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 21, pages 123-147, Abril.
    9. Anwesha Banerjee & Nicolas Gravel, 2020. "Contribution to a public good under subjective uncertainty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 22(3), pages 473-500, June.
    10. WANG, Zuxiang & SMYTH, Russell & NG, Yew-Kwang, 2009. "A new ordered family of Lorenz curves with an application to measuring income inequality and poverty in rural China," China Economic Review, Elsevier, vol. 20(2), pages 218-235, June.
    11. Laurent Derobert & Guillaume Thieriot, 2003. "The Lorenz curve as an archetype: A historico-epistemological study," The European Journal of the History of Economic Thought, Taylor & Francis Journals, vol. 10(4), pages 573-585.
    12. John P. Formby & Steven G. Medema & W. James Smith, 1995. "Tax Neutrality and Social Welfare in a Comptutational General Equilibrium Framework," Public Finance Review, , vol. 23(4), pages 419-447, October.
    13. Morton, Alec, 2014. "Aversion to health inequalities in healthcare prioritisation: A multicriteria optimisation perspective," Journal of Health Economics, Elsevier, vol. 36(C), pages 164-173.
    14. Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
    15. repec:zbw:hohpro:331 is not listed on IDEAS
    16. Walter Bossert & Bhaskar Dutta, 2019. "The measurement of welfare change," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(4), pages 603-619, December.
    17. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    18. Satya R. Chakravarty & Amita Majumder & Sonali Roy, 2007. "A Treatment Of Absolute Indices Of Polarization," The Japanese Economic Review, Japanese Economic Association, vol. 58(2), pages 273-293, June.
    19. Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.
    20. Salant, Stephen W. & Shaffer, Greg, 2002. "Using Lorenz curves to represent firm heterogeneity in Cournot games," MPRA Paper 21876, University Library of Munich, Germany.
    21. Hennessy, David A., 2007. "Informed control over inputs and extent of industrial processing," Economics Letters, Elsevier, vol. 94(3), pages 372-377, March.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:isu:genres:12550. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Curtis Balmer (email available below). General contact details of provider: https://edirc.repec.org/data/deiasus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.