Coherent Multidimensional Poverty Measurement

Gaël Giraud

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

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

Keywords: Multidimensional poverty; geometric mean; maximin solution; utilitarian solution; endogenous identification; coherence; continuity; decreasing marginal rate of substitution; cardinal date; ordinality; relative weights (search for similar items in EconPapers)
JEL-codes: D31 D63 I3 I32 O1 (search for similar items in EconPapers)
Pages: 17 pages
Date: 2012-12
New Economics Papers: this item is included in nep-dem
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http://mse.univ-paris1.fr/pub/mse/CES2012/12064.pdf (application/pdf)

Related works:
Working Paper: Coherent Multidimensional Poverty Measurement (2012)
Working Paper: Coherent Multidimensional Poverty Measurement (2012)
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:12095

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