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Sequential Generalized Lorenz Dominance and Transfer Principles

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  • Ebert, Udo

Abstract

In an important contribution in 1987, Atkinson and Bourguignon proposed dominance criteria which allow us to compare income distributions for heterogeneous populations. They are defined by the unanimous preference of the dominating distribution by a set of welfare functions which satisfy some conditions on the derivatives of utility-of-income functions. This paper contributes to an understanding of some of the orderings considered. In particular it provides a characterization of the sequential generalized Lorenz ordering by transfer principles. The axiomatization illuminates the criterion. Copyright 2000 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research

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Bibliographic Info

Article provided by Wiley Blackwell in its journal Bulletin of Economic Research.

Volume (Year): 52 (2000)
Issue (Month): 2 (April)
Pages: 113-22

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Handle: RePEc:bla:buecrs:v:52:y:2000:i:2:p:113-22

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Cited by:
  1. Peter J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous populations," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
  2. Banerjee, Asis Kumar, 2010. "A multidimensional Gini index," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 87-93, September.
  3. Fleurbaey, Marc & Hagnere, Cyrille & Trannoy, Alain, 2003. "Welfare comparisons with bounded equivalence scales," Journal of Economic Theory, Elsevier, vol. 110(2), pages 309-336, June.
  4. N. GRAVEL & Patrick MOYES (GREThA UMR CNRS 5113), 2008. "Bidimensional Inequalities with an Ordinal Variable," Cahiers du GREThA 2008-14, Groupe de Recherche en Economie Théorique et Appliquée.
  5. Udo Ebert & Patrick Moyes, 2011. "Inequality of Well-Being and Isoelastic Equivalence Scales," Working Papers V-333-11, University of Oldenburg, Department of Economics, revised Feb 2011.
  6. Udo Ebert, 2000. "Equivalizing Incomes: A Normative Approach," International Tax and Public Finance, Springer, vol. 7(6), pages 619-640, December.
  7. Udo Ebert, 2011. "The redistribution of income when needs differ," Working Papers V-331-11, University of Oldenburg, Department of Economics, revised Feb 2011.
  8. repec:old:wpaper:333 is not listed on IDEAS
  9. Satya R. Chakravarty & Pietro Muliere, 2003. "Welfare indicators: A review and new perspectives. 1. Measurement of inequality," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3), pages 457-497.
  10. Udo Ebert, 2007. "Ethical inequality measures and the redistribution of income when needs differ," Journal of Economic Inequality, Springer, vol. 5(3), pages 263-278, December.
  11. Erwin Ooghe, 2005. "Sequential dominance and weighted utilitarianism," Center for Economic Studies - Discussion papers ces0518, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  12. Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
  13. repec:old:wpaper:331 is not listed on IDEAS
  14. Helene Couprie & Eugenio Peluso & Alain Trannoy, 2007. "From Household to Individual Welfare Comparisons: A Double Concavity Test," IDEP Working Papers 0701, Institut d'economie publique (IDEP), Marseille, France, revised 01 2007.
  15. Udo Ebert, 2010. "Dominance criteria for welfare comparisons: using equivalent income to describe differences in needs," Theory and Decision, Springer, vol. 69(1), pages 55-67, July.

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