Conditions for the Most Robust Poverty Comparisons Using the Alkire-Foster Family of Measures
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).
|Date of creation:||Sep 2011|
|Date of revision:|
|Contact details of provider:|| Postal: Queen Elizabeth House 3 Mansfield Road, Oxford, OX1 3TB United Kingdom|
Phone: +44 (1865) 281800
Fax: +44 (1865) 281801
Web page: http://ophi.qeh.ox.ac.uk/
More information through EDIRC
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.:
- Diego Battiston, Guillermo Cruces, Luis Felipe Lopez Calva, Maria Ana Lugo and Maria Emma Santos, .
"Income and Beyond: Multidimensional Poverty in Six Latin American Countries,"
OPHI Working Papers
ophiwp017, Queen Elizabeth House, University of Oxford.
- 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.
- Diego Battiston & Guillermo Cruces & Luis Felipe Lopez Calva & Maria Ana Lugo & Maria Emma Santos, 2009. "Income and Beyond: Multidimensional Poverty in six Latin American countries," CEDLAS, Working Papers 0090, CEDLAS, Universidad Nacional de La Plata.
- Diego Battiston & Guillermo Cruces & Luis Felipe Lopez-Calva & Maria Ana Lugo & Maria Emma Santos, 2009. "Income and beyond: Multidimensional poverty in six Latin American countries," Working Papers 142, ECINEQ, Society for the Study of Economic Inequality.
- 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.
- 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.
- Ma. Casilda Lasso de la Vega, 2009. "Counting poverty orderings and deprivation curves," Working Papers 150, ECINEQ, Society for the Study of Economic Inequality.
- Sabina Alkire and Maria Emma Santos, .
"Acute Multidimensional Poverty: A New Index for Developing Countries,"
OPHI Working Papers
ophiwp038, Queen Elizabeth House, University of Oxford.
- Sabina Alkire & Maria Emma Santos, 2010. "Acute Multidimensional Poverty: A New Index for Developing Countries," Human Development Research Papers (2009 to present) HDRP-2010-11, Human Development Report Office (HDRO), United Nations Development Programme (UNDP).
- Alkire, Sabina & Santos, María Emma, 2011. "Acute Multidimensional Poverty: A New Index for Developing Countries," Proceedings of the German Development Economics Conference, Berlin 2011 3, Verein für Socialpolitik, Research Committee Development Economics.
- Martin Ravallion, 2012.
"Mashup Indices of Development,"
World Bank Research Observer,
World Bank Group, vol. 27(1), pages 1-32, February.
- Gaston Yalonetzky, 2013. "Stochastic Dominance with Ordinal Variables: Conditions and a Test," Econometric Reviews, Taylor & Francis Journals, vol. 32(1), pages 126-163, January.
- Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006.
"Robust Multidimensional Poverty Comparisons,"
Royal Economic Society, vol. 116(514), pages 943-968, October.
- 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.
- Alkire, Sabina & Foster, James, 2011.
"Counting and multidimensional poverty measurement,"
Journal of Public Economics,
Elsevier, vol. 95(7-8), pages 476-487, August.
- 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.
- Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2006. "Robust Multidimensional Poverty Comparisons with Discrete Indicators of Well-being," Cahiers de recherche 0628, CIRPEE.
- Sen, Amartya, 2001. "Development as Freedom," OUP Catalogue, Oxford University Press, number 9780192893307, December.
- 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.
- Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2005. "Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda," Cahiers de recherche 0528, CIRPEE.
- Ian Crawford, 2005. "A nonparametric test of stochastic dominance in multivariate distributions," School of Economics Discussion Papers 1205, School of Economics, University of Surrey.
When requesting a correction, please mention this item's handle: RePEc:qeh:ophiwp:ophiwp044b. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Rachel Crawford)
If references are entirely missing, you can add them using this form.