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Decomposition of bivariate inequality indices by attributes

Author

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  • Ramses H. Abul Naga

    (IEMS - Institut d'économie et de management de la santé - UNIL - Université de Lausanne = University of Lausanne)

  • Pierre-Yves Geoffard

    (IEMS - Institut d'économie et de management de la santé - UNIL - Université de Lausanne = University of Lausanne, PJSE - Paris-Jourdan Sciences Economiques - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique, CEPR - Center for Economic Policy Research - CEPR)

Abstract

We provide, for the class of relative bidimensional inequality indices, a decomposition of inequality into two univariate Atkinson- Kolm-Sen indices and a third statistic which depends on the joint distribution of resources.

Suggested Citation

  • Ramses H. Abul Naga & Pierre-Yves Geoffard, 2005. "Decomposition of bivariate inequality indices by attributes," PSE Working Papers halshs-00590715, HAL.
    • Handle: RePEc:hal:psewpa:halshs-00590715
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00590715
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    References listed on IDEAS

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    1. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 183-201.
    2. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
    3. Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
    4. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    5. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 1-13.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    multidimensional inequality; relative indices; correlation increasing transfers; copulas; inégalités multidimensionnelles; indices relatifs; transferts accroissant la corrélation;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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