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On multidimensional inequality with variable distribution mean

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  • Ernesto Savaglio

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Abstract

We compare alternative populations of individuals, who differ for many characteristics besides income, in terms of inequality. In order to achieve our aim, we extend the notion of Generalized Lorenz Preorder to a context of multivariate distributions with different marginals. Finally, we show, by using convex analysis, that some conditions, relevant in the analysis of multidimensional inequality, are equivalent to the ordering we introduced

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Paper provided by Department of Economics, University of Siena in its series Department of Economics University of Siena with number 522.

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Date of creation: Nov 2007
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Handle: RePEc:usi:wpaper:522

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Keywords: Multidimensional Inequality; Generalized Lorenz Preordering; Price-majorization;

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  1. Decancq, Koen & Ooghe, Erwin, 2010. "Has the world moved forward? A robust multidimensional evaluation," Economics Letters, Elsevier, vol. 107(2), pages 266-269, May.
  2. Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer, vol. 28(1), pages 85-94, 05.
  3. Moyes, Patrick, 1989. "Some classes of functions that preserve the inequality and welfare orderings of income distributions," Journal of Economic Theory, Elsevier, vol. 49(2), pages 347-359, December.
  4. Kakwani, Nanak C, 1977. "Applications of Lorenz Curves in Economic Analysis," Econometrica, Econometric Society, vol. 45(3), pages 719-27, April.
  5. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February.
  6. Ebert, Udo, 1997. "Social Welfare When Needs Differ: An Axiomatic Approach," Economica, London School of Economics and Political Science, vol. 64(254), pages 233-44, May.
  7. Peter Lambert & Xavi Ramos, 2001. "Welfare Comparisons: Sequential Procedures for Heterogeneous Population," CESifo Working Paper Series 519, CESifo Group Munich.
  8. Jenkins, Stephen P & Lambert, Peter J, 1993. "Ranking Income Distributions When Needs Differ," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 39(4), pages 337-56, December.
  9. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
  10. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-24, September.
  11. Gleb Koshevoy, 1997. "The Lorenz zonotope and multivariate majorizations," Social Choice and Welfare, Springer, vol. 15(1), pages 1-14.
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Cited by:
  1. Asis Banerjee, 2014. "A multidimensional Lorenz dominance relation," Social Choice and Welfare, Springer, vol. 42(1), pages 171-191, January.

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