Multidimensional inequality with variable population size |
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Authors: | Ernesto Savaglio |
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Affiliation: | (1) Department of Economics, University of Siena, 7 Piazza San Francesco, 53100 Siena, ITALY |
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Abstract: | Summary. We study inequality in a context of more than one variable by extending a celebrated result of Hardy, Littlewood and Pölya (1934) to the case of distributions with variable population sizes, whose individuals differ in many characteristics besides income. A new ordering between rectangular matrices, representing such distributions, is provided and characterized by convexity theory.Received: 19 October 2003, Revised: 7 September 2004, JEL Classification Numbers: D31, D63, I31.I am indebted to C. d’Aspremont, V. Dardanoni, G. Koshevoy, K. Mosler and especially J. Weymark and an anonymous referee for many useful comments. |
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Keywords: | Inequality Matrix majorization Markotope Support function Welfare measurement. |
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