Partial Multidimensional Inequality Orderings
AbstractThe paper investigates how comparisons of multivariate inequality can be made robust to varying the intensity of focus on the share of the population that are more relatively deprived. It follows the dominance approach to making inequality comparisons, as developed for instance by Atkinson (1970), Foster and Shorrocks (1988) and Formby, Smith, and Zheng (1999) in the unidimensional context, and Atkinson and Bourguignon (1982) in the multidimensional context. By focusing on those below a multidimensional inequality “frontier”, we are able to reconcile the literature on multivariate relative poverty and multivariate inequality. Some existing approaches to multivariate inequality actually reduce the distributional analysis to a univariate problem, either by using a utility function first to aggregate an individual’s multiple dimensions of well-being, or by applying a univariate inequality analysis to each dimension independently. One of our innovations is that unlike previous approaches, the distribution of relative well-being in one dimension is allowed to affect how other dimensions influence overall inequality. We apply our approach to data from India and Mexico using monetary and non-monetary indicators of well-being.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by CIRPEE in its series Cahiers de recherche with number 1003.
Date of creation: 2010
Date of revision:
Inequality; multidimensional comparisons; stochastic dominance;
Other versions of this item:
- Duclos, Jean-Yves & Sahn, David E. & Younger, Stephen D., 2011. "Partial multidimensional inequality orderings," Journal of Public Economics, Elsevier, vol. 95(3), pages 225-238.
- Duclos, Jean-Yves & Sahn, David E. & Younger, Stephen D., 2011. "Partial multidimensional inequality orderings," Journal of Public Economics, Elsevier, vol. 95(3-4), pages 225-238, April.
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-04-17 (All new papers)
- NEP-LTV-2010-04-17 (Unemployment, Inequality & Poverty)
- NEP-MIC-2010-04-17 (Microeconomics)
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.:
- Russell Davidson & Jean-Yves Duclos, 2006.
"Testing for Restricted Stochastic Dominance,"
36, ECINEQ, Society for the Study of Economic Inequality.
- Russell Davidson & Jean-Yves Duclos, 2006. "Testing For Restricted Stochastic Dominance," Departmental Working Papers 2006-20, McGill University, Department of Economics.
- Davidson, Russell & Duclos, Jean-Yves, 2006. "Testing for Restricted Stochastic Dominance," IZA Discussion Papers 2047, Institute for the Study of Labor (IZA).
- Russell Davidson & Jean-Yves Duclos, 2009. "Testing for restricted stochastic dominance," Working Papers halshs-00443560, HAL.
- Russell Davidson & Jean-Yves Duclos, 2006. "Testing for Restricted Stochastic Dominance," Cahiers de recherche 0609, CIRPEE.
- Formby, John P. & Smith, W. James & Zheng, Buhong, 1999. "The coefficient of variation, stochastic dominance and inequality: A new interpretation," Economics Letters, Elsevier, vol. 62(3), pages 319-323, March.
- Sahn, David E. & Stifel, David C., 2000. "Poverty Comparisons Over Time and Across Countries in Africa," World Development, Elsevier, vol. 28(12), pages 2123-2155, December.
- Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006.
"Robust Multidimensional Poverty Comparisons,"
Royal Economic Society, vol. 116(514), pages 943-968, October.
- Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
- Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
- Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
- Tsui Kai-Yuen, 1995. "Multidimensional Generalizations of the Relative and Absolute Inequality Indices: The Atkinson-Kolm-Sen Approach," Journal of Economic Theory, Elsevier, vol. 67(1), pages 251-265, October.
- Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
- Sen, Amartya, 1983. "Poor, Relatively Speaking," Oxford Economic Papers, Oxford University Press, vol. 35(2), pages 153-69, July.
- Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-66, May.
- David E. Sahn & David Stifel, 2003. "Exploring Alternative Measures of Welfare in the Absence of Expenditure Data," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 49(4), pages 463-489, December.
- Kaur, Amarjot & Prakasa Rao, B.L.S. & Singh, Harshinder, 1994. "Testing for Second-Order Stochastic Dominance of Two Distributions," Econometric Theory, Cambridge University Press, vol. 10(05), pages 849-866, December.
- Maasoumi, Esfandiar & Jeong, Jin Ho, 1985. "The trend and the measurement of world inequality over extended periods of accounting," Economics Letters, Elsevier, vol. 19(3), pages 295-301.
- Datt, Gaurav & Ravallion, Martin, 1992. "Growth and redistribution components of changes in poverty measures : A decomposition with applications to Brazil and India in the 1980s," Journal of Development Economics, Elsevier, vol. 38(2), pages 275-295, April.
- 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.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer, vol. 28(1), pages 85-94, 05.
- Horton, S. & Ross, J., 2003. "The economics of iron deficiency," Food Policy, Elsevier, vol. 28(1), pages 51-75, February.
- David Sahn & Stephen Younger, 2005. "Improvements in children’s health: Does inequality matter?," Journal of Economic Inequality, Springer, vol. 3(2), pages 125-143, August.
- John A. Weymark, 2003. "The Normative Approach to the Measurement of Multidimensional Inequality," Vanderbilt University Department of Economics Working Papers 0314, Vanderbilt University Department of Economics, revised Jan 2004.
- Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
- Esfandiar Maasoumi & Jeffrey S. Racine, 2013. "Multidimensional Poverty Frontiers: Parametric Aggregators Based on Nonparametric Distributions," Department of Economics Working Papers 2013-07, McMaster University.
- Echevin, Damien, 2011. "Vulnerability to asset-poverty in Sub-Saharan Africa," MPRA Paper 35660, University Library of Munich, Germany.
- BOSMANS, Kristof & DECANCQ, Koen & OOGHE, Erwin, 2013. "What do normative indices of multidimensional inequality really measure?," CORE Discussion Papers 2013035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Johanne Perron).
If references are entirely missing, you can add them using this form.