Partial Multidimensional Inequality Orderings
The 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.
|Date of creation:||2010|
|Date of revision:|
|Contact details of provider:|| Postal: CP 8888, succursale Centre-Ville, Montréal, QC H3C 3P8|
Phone: (514) 987-8161
Web page: http://www.cirpee.org/
More information through EDIRC
References listed on IDEAS
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.:
- 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.
- Russell Davidson & Jean-Yves Duclos, 2006.
"Testing For Restricted Stochastic Dominance,"
Departmental Working Papers
2006-20, McGill University, Department of Economics.
- Russell Davidson & Jean-Yves Duclos, 2006. "Testing for Restricted Stochastic Dominance," Cahiers de recherche 0609, CIRPEE.
- 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," Working Papers 36, ECINEQ, Society for the Study of Economic Inequality.
- 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, 1983. "Poor, Relatively Speaking," Oxford Economic Papers, Oxford University Press, vol. 35(2), pages 153-69, July.
- 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.
- Foster, James E. & Shorrocks, Anthony F., 1988. "Inequality and poverty orderings," European Economic Review, Elsevier, vol. 32(2-3), pages 654-661, March.
- 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.
- Sen, Amartya, 1970. "Interpersonal Aggregation and Partial Comparability," Econometrica, Econometric Society, vol. 38(3), pages 393-409, May.
- Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931, December.
- Jean-Yves Duclos & David Sahn & Stephen D. Younger, 2005.
"Robust Multidimensional Spatial Poverty Comparisons in Ghana, Madagascar, and Uganda,"
Cahiers de recherche
- 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.
- 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.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- 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.
- Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 85-94, 05.
- 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.
- Foster, James & Greer, Joel & Thorbecke, Erik, 1984. "A Class of Decomposable Poverty Measures," Econometrica, Econometric Society, vol. 52(3), pages 761-66, May.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Maasoumi, Esfandiar & Nickelsburg, Gerald, 1988. "Multivariate Measures of Well-Being and an Analysis of Inequality in the Michigan Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(3), pages 326-34, July.
- Jean-Yves Duclos & David E. Sahn & Stephen D. Younger, 2006.
"Robust Multidimensional Poverty Comparisons,"
Royal Economic Society, vol. 116(514), pages 943-968, October.
- 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.
- Horton, S. & Ross, J., 2003. "The economics of iron deficiency," Food Policy, Elsevier, vol. 28(1), pages 51-75, February.
- Sen, Amartya K, 1976. "Poverty: An Ordinal Approach to Measurement," Econometrica, Econometric Society, vol. 44(2), pages 219-31, March.
- David Sahn & Stephen Younger, 2005. "Improvements in children’s health: Does inequality matter?," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 3(2), pages 125-143, August.
When requesting a correction, please mention this item's handle: RePEc:lvl:lacicr:1003. 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: (Manuel Paradis)
If references are entirely missing, you can add them using this form.