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Inequality foundations of concentration measures: An application to the Hannah-Kay indices

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  • Oscar Bajo

    ()
    (Universidad de Castilla-La Mancha, Departamento de Economía y Empresa, Ronda de Toledo s/n, 13071 Ciudad Real, Spain Universidad Complutense de Madrid, Departamento de Fundamentos del Análisis Económico I, Campus de Somosaguas, 28223 Madrid, Spain)

  • Rafael Salas

    ()
    (Universidad de Castilla-La Mancha, Departamento de Economía y Empresa, Ronda de Toledo s/n, 13071 Ciudad Real, Spain Universidad Complutense de Madrid, Departamento de Fundamentos del Análisis Económico I, Campus de Somosaguas, 28223 Madrid, Spain)

Abstract

The aim of this paper is to provide a connection between concentration and inequality. In particular, we show that the general entropy inequality indices are, among inequality measures, those consistent with the whole set of Hannah-Kay concentration indices. We isolate the inequality component underlying concentration measures, obtaining an explicit additive decomposition of the change in concentration into the change in its two components, i.e., inequality and the number of firms. This relationship proves to be valid for the whole set of Hannah-Kay concentration indices, and embodies as particular cases some others previously found in the literature.

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Bibliographic Info

Article provided by Springer in its journal Spanish Economic Review.

Volume (Year): 4 (2002)
Issue (Month): 4 ()
Pages: 311-316

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Handle: RePEc:spr:specre:v:4:y:2002:i:4:p:311-316

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Keywords: Concentration; inequality;

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References

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  1. Marfels, Christian, 1971. "Absolute and Relative Measures of Concentration Reconsidered," Kyklos, Wiley Blackwell, vol. 24(4), pages 753-66.
  2. Salas, Rafael, 1998. "Welfare-consistent inequality indices in changing populations:: The marginal population replication axiomA Note," Journal of Public Economics, Elsevier, vol. 67(1), pages 145-150, January.
  3. 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.
  4. Encaoua, David & Jacquemin, Alexis, 1980. "Degree of Monopoly, Indices of Concentration and Threat of Entry," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(1), pages 87-105, February.
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Cited by:
  1. P Dorian Owen & Nicholas King, 2013. "Competitive Balance Measures in Sports Leagues: The Effects of Variation in Season Length," NCER Working Paper Series 92, National Centre for Econometric Research.
  2. Irving Fisher Committee, 2013. "Proceedings of the Sixth IFC Conference on "Statistical issues and activities in a changing environment", Basel, 28-29 August 2012," IFC Bulletins, Bank for International Settlements, number 36, October -.
  3. P. Dorian Owen, 2009. "Limitations of the relative standard deviation of win percentages for measuring competitive balance in sports leagues," Working Papers 0908, University of Otago, Department of Economics, revised Mar 2010.
  4. P. Owen & Michael Ryan & Clayton Weatherston, 2007. "Measuring Competitive Balance in Professional Team Sports Using the Herfindahl-Hirschman Index," Review of Industrial Organization, Springer, vol. 31(4), pages 289-302, December.
  5. repec:qut:auncer:2013_04 is not listed on IDEAS
  6. P. Dorian Owen, 2013. "Measurement of Competitive Balance and Uncertainty of Outcome," Working Papers 1311, University of Otago, Department of Economics, revised Aug 2013.
  7. Frederico Rocha & Sálua Bueno & Luiza Nassif Pires, 2007. "Dinâmica Da Concentração De Mercado Na Indústria Brasileira, 1996-2003," Anais do XXXV Encontro Nacional de Economia [Proceedings of the 35th Brazilian Economics Meeting] 141, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].

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