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Coherent Multidimensional Poverty Measurement

Author

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  • Gaël Giraud

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

Abstract

This paper presents a family of multidimensional poverty indices that measure poverty as a function of the extent and the intensity of poverty. I provide a unique axiomatics from which both extent and intensity of poverty can be derived, as well as the poor be endogenously identified. This axiomatics gives rise to a family of multidimensional indices whose extremal points are the geometric mean and the Maximin solution. I show that, in addition to all the standard features studied in the literature, these indices are continuous (a must for cardinal poverty measures) and ordinal, in the sense that they do not depend upon the units in which dimensions of achievements are computed. Moreover, they verify the decreasing rate marginal substitution property : the higher one's deprovation (or the extent of poverty) in one dimension, the smaller the increase of achievement in that dimension that suffices to compensate for a decrease of achievement in another dimension.

Suggested Citation

  • Gaël Giraud, 2012. "Coherent Multidimensional Poverty Measurement," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00785629, HAL.
    • Handle: RePEc:hal:cesptp:halshs-00785629
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00785629v1
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    JEL classification:

    • I3 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • O1 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development

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