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A Multidimensional Poverty Index

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Part of the Operations Research Proceedings book series (ORP,volume 2006)

Abstract

In multidimensional poverty measurement k ≥ 2 different quantitative basic needs variables y j, j = 1...k have to be considered. Let the respective variables be substitutable. Then for a single person i = 1...n poverty can be aggregated across variables as follows:

$$ C_{1i}^* = \left( {\frac{1} {k}\sum\limits_{j = 1}^k {p_{ij}^{*\alpha } } } \right)^{\frac{1} {\alpha }} ,\alpha \geqslant 2 $$
((1))

(see Kocklaeuner (2002) with respect to an unidimensional ethical poverty index aggregating poverty across persons).

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Kocklaeuner, G. (2007). A Multidimensional Poverty Index. In: Waldmann, KH., Stocker, U.M. (eds) Operations Research Proceedings 2006. Operations Research Proceedings, vol 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69995-8_37

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