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Conditions for the Most Robust Poverty Comparisons Using the Alkire-Foster Family of Measures

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  • Gaston Yalonetzky

Abstract

In the burgeoning literature on multidimensional poverty indices, the Alkire-Foster (AF) measures stand out for their resilience in identifying the multidimensionally poor with cut-off criteria covering the spectrum from the union approach to the intersection approach. The intuitiveness and easy applicability of the measures’ identification and aggregation methods are reflected in the increasing use of the AF measures in poverty measurement, as well as in other fields. This paper extends the dominance results derived by Lasso de la Vega (2009) and Alkire and Foster (2010) for the adjusted headcount ratio and develops a new condition whose fulfilment ensures the robustness of comparisons using the adjusted headcount ratio for any choice of multidimensional cut-off and for any weights and poverty lines. The paper then derives a first-order dominance condition for the whole Alkire-Foster family (that is, for continuous variables).

Suggested Citation

  • Gaston Yalonetzky, 2011. "Conditions for the Most Robust Poverty Comparisons Using the Alkire-Foster Family of Measures," OPHI Working Papers ophiwp044b, Queen Elizabeth House, University of Oxford.
  • Handle: RePEc:qeh:ophiwp:ophiwp044b
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    References listed on IDEAS

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    1. Sabina Alkire and Maria Emma Santos, "undated". "Acute Multidimensional Poverty: A New Index for Developing Countries," OPHI Working Papers ophiwp038, Queen Elizabeth House, University of Oxford.
    2. Sen, Amartya, 2001. "Development as Freedom," OUP Catalogue, Oxford University Press, number 9780192893307.
    3. Gaston Yalonetzky, 2013. "Stochastic Dominance with Ordinal Variables: Conditions and a Test," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 126-163, January.
    4. 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.
    5. Yélé Batana, 2013. "Multidimensional Measurement of Poverty Among Women in Sub-Saharan Africa," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 112(2), pages 337-362, June.
    6. Alkire, Sabina & Foster, James, 2011. "Counting and multidimensional poverty measurement," Journal of Public Economics, Elsevier, vol. 95(7), pages 476-487.
    7. Ian Crawford, 2005. "A nonparametric test of stochastic dominance in multivariate distributions," School of Economics Discussion Papers 1205, School of Economics, University of Surrey.
    8. Martin Ravallion, 2012. "Mashup Indices of Development," World Bank Research Observer, World Bank Group, vol. 27(1), pages 1-32, February.
    9. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
    10. Diego Battiston & Guillermo Cruces & Luis Lopez-Calva & Maria Lugo & Maria Santos, 2013. "Income and Beyond: Multidimensional Poverty in Six Latin American Countries," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 112(2), pages 291-314, June.
    11. 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.
    12. Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," World Bank Economic Review, World Bank Group, vol. 20(1), pages 91-113.
    13. Kannai, Yakar, 1980. "The ALEP definition of complementarity and least concave utility functions," Journal of Economic Theory, Elsevier, vol. 22(1), pages 115-117, February.
    14. Ma. Casilda Lasso de la Vega, 2009. "Counting poverty orderings and deprivation curves," Working Papers 150, ECINEQ, Society for the Study of Economic Inequality.
    15. James E. Foster & Andrew W. Horowitz & Fabio Méndez, 2012. "An Axiomatic Approach to the Measurement of Corruption: Theory and Applications," World Bank Economic Review, World Bank Group, vol. 26(2), pages 217-235.
    16. A. Atkinson, 2003. "Multidimensional Deprivation: Contrasting Social Welfare and Counting Approaches," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 1(1), pages 51-65, April.
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    Cited by:

    1. Sabina Alkire, 2011. "Multidimensional Poverty and its Discontents," OPHI Working Papers ophiwp046, Queen Elizabeth House, University of Oxford.
    2. Sabina Alkire & James Foster, 2011. "Understandings and misunderstandings of multidimensional poverty measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 9(2), pages 289-314, June.
    3. Béassoum, Christian N., 2011. "Pauvreté régionale au Tchad en 2003: une situation de référence revisitée
      [Chad regional poverty profile in 2003: revisiting a baseline]
      ," MPRA Paper 34505, University Library of Munich, Germany.

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