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Multi-dimensional poverty orderings

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Author Info
François Bourguignon
Satya R. Chakravarty

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Abstract

This paper generalizes the poverty ordering criteria available for one-dimensional income poverty to the case of multi-dimensional welfare attributes. A set of properties to be satisfied by multi-dimensional poverty measures is first discussed. Then general classes of poverty measures based on these properties are defined. Finally, dominance criteria are derived such that a distribution of multi-dimensional attributes exhibits less poverty than another for all multi-dimensional poverty indices belonging to a given class. These criteria may be seen as a generalization of the single dimension poverty-line criterion. However, it turns out that the way this generalization is made depends on whether attributes are complements or substitutes.

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Paper provided by DELTA (Ecole normale supérieure) in its series DELTA Working Papers with number 2002-22.

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Date of creation: 2002
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Handle: RePEc:del:abcdef:2002-22

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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. Foster, James E & Shorrocks, Anthony F, 1991. "Subgroup Consistent Poverty Indices," Econometrica, Econometric Society, vol. 59(3), pages 687-709, May. [Downloadable!] (restricted)
  2. Bourguignon, F. & Fields, G., 1995. "Discontinuous Losses from Poverty, Generalized P& Measures and Optimal Transfers to the Poor," DELTA Working Papers 95-06, DELTA (Ecole normale supérieure).
  3. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 183-201, April. [Downloadable!] (restricted)
  4. Bourguignon, F. & Chakravarty, S.R., 1998. "A Family of Multidimensional Poverty Measures," DELTA Working Papers 98-03, DELTA (Ecole normale supérieure).
  5. Foster, James E & Shorrocks, Anthony F, 1988. "Poverty Orderings," Econometrica, Econometric Society, vol. 56(1), pages 173-77, January. [Downloadable!] (restricted)
  6. Donaldson, David & Weymark, John A, 1986. "Properties of Fixed-Population Poverty Indices," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(3), pages 667-88, October. [Downloadable!] (restricted)
  7. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February. [Downloadable!] (restricted)
  8. Ravallion, Martin, 1996. "Issues in Measuring and Modelling Poverty," Economic Journal, Royal Economic Society, vol. 106(438), pages 1328-43, September. [Downloadable!] (restricted)
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  9. Jenkins, Stephen P & Lambert, Peter J, 1997. "Three 'I's of Poverty Curves, with an Analysis of UK Poverty Trends," Oxford Economic Papers, Oxford University Press, vol. 49(3), pages 317-27, July. [Downloadable!] (restricted)
  10. Zheng, Buhong, 1997. " Aggregate Poverty Measures," Journal of Economic Surveys, Blackwell Publishing, vol. 11(2), pages 123-62, June. [Downloadable!] (restricted)
  11. Atkinson, A B, 1992. "Measuring Poverty and Differences in Family Composition," Economica, London School of Economics and Political Science, vol. 59(233), pages 1-16, February. [Downloadable!] (restricted)
  12. Levy, Haim & Paroush, Jacob, 1974. "Toward multivariate efficiency criteria," Journal of Economic Theory, Elsevier, vol. 7(2), pages 129-142, February. [Downloadable!] (restricted)
  13. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, Blackwell Publishing, vol. 39(4), pages 337-56, December.
  14. Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons," Economic Journal, Royal Economic Society, vol. 116(514), pages 943-968, October. [Downloadable!] (restricted)
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  15. Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March. [Downloadable!] (restricted)
  16. Atkinson, A B, 1987. "On the Measurement of Poverty," Econometrica, Econometric Society, vol. 55(4), pages 749-64, July. [Downloadable!] (restricted)
  17. Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-66, May. [Downloadable!] (restricted)
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  1. Johannes Gräb & Michael Grimm, 2007. "Robust Multiperiod Poverty Comparisons," Discussion Papers of DIW Berlin 725, DIW Berlin, German Institute for Economic Research. [Downloadable!]
    Other versions:
  2. Wiebke Kuklys & Ingrid Robeyns, 2004. "Sens's Capability Approach to Welfare Economics," Discussion Papers on Strategic Interaction 2004-03, Max Planck Institute of Economics, Strategic Interaction Group. [Downloadable!]
  3. Paul MAKDISSI & Quentin WODON, 2003. "Robust Poverty Comparisons and Marginal Policy Reform Orderings Under Income Variability," Cahiers de recherche 03-05, Departement d'Economique de la Faculte d'administration à l'Universite de Sherbrooke. [Downloadable!]
  4. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2005. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," Cahiers de recherche 0528, CIRPEE. [Downloadable!]
    Other versions:
  5. Kuklys, W. & Robeyns, I., 2004. "Sen’s Capability Approach to Welfare Economics," Cambridge Working Papers in Economics 0415, Faculty of Economics, University of Cambridge. [Downloadable!]
  6. Satya R. Chakravarty & Pietro Muliere, 2004. "Welfare indicators: a review and new perspectives. 2. Measurement of poverty," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 247-281. [Downloadable!]
  7. Sami Bibi, 2004. "Comparing Multidimensional Poverty between Egypt and Tunisia," Cahiers de recherche 0416, CIRPEE. [Downloadable!]
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