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Inequality Foundations of Concentration Measures: An Application to the Hannah-Kay Indices

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Author Info
Oscar Bajo () (Departamento de Economia - UPNA)
Rafael Salas

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Abstract

In this paper we provide a connection between concentration and inequality by showing that the inequality measures consistent with the whole class of Hannah-Kay concentration indices are the general entropy inequality indices. We isolate the inequality component underlying the concentration measures, obtaining an explicit additive decomposition of the change in concentration into the change in its two components: inequality and the number of firms. This relationship proves to be valid for the whole class of Hannah-Kay concentration indices, and embodies as particular cases other previously found in the literature. Finally, our proposed decomposition is shown by means of an empirical example, which illustrates the sources of a change in sectoral concentration between two points in time.

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Publisher Info
Paper provided by Departamento de Economía - Universidad Pública de Navarra in its series Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra with number 9901.

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Length: 13 pages
Date of creation: 1999
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Handle: RePEc:nav:ecupna:9901

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Keywords: Concentration; inequality;

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Find related papers by JEL classification:
L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Marfels, Christian, 1971. "Absolute and Relative Measures of Concentration Reconsidered," Kyklos, Blackwell Publishing, vol. 24(4), pages 753-66.
  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. [Downloadable!] (restricted)
  4. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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]. [Downloadable!]
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