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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

Suggested Citation

  • Ebert, Udo, 2000. "Sequential Generalized Lorenz Dominance and Transfer Principles," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 113-122, April.
    • Handle: RePEc:bla:buecrs:v:52:y:2000:i:2:p:113-22
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    Citations

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    Cited by:

    1. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    2. Rolf Aaberge & Andrea Brandolini, 2014. "Multidimensional poverty and inequality," Discussion Papers 792, Statistics Norway, Research Department.
    3. Udo Ebert, 2007. "Ethical inequality measures and the redistribution of income when needs differ," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 263-278, December.
    4. Banerjee, Asis Kumar, 2010. "A multidimensional Gini index," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 87-93, September.
    5. 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.
    6. repec:old:wpaper:333 is not listed on IDEAS
    7. 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.
    8. Peter J. Lambert & Xavier Ramos, 2001. "Welfare comparisons: sequential procedures for heterogenous population," Working Papers wp0114, Department of Applied Economics at Universitat Autonoma of Barcelona.
    9. Udo Ebert, 2000. "Equivalizing Incomes: A Normative Approach," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 7(6), pages 619-640, December.
    10. Udo EBERT & Patrick MOYES, 2016. "Inequality of Living Standards and Isoelastic Equivalence Scales," Cahiers du GREThA (2007-2019) 2016-27, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    11. Udo Ebert, 2011. "The redistribution of income when needs differ," Working Papers V-331-11, University of Oldenburg, Department of Economics, revised Feb 2011.
    12. repec:old:wpaper:331 is not listed on IDEAS
    13. 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.
    14. Flaviana Palmisano & Ida Petrillo, 2021. "A general rank-dependent approach for distributional comparisons," Working Papers 567, ECINEQ, Society for the Study of Economic Inequality.
    15. 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.
    16. N. GRAVEL & Patrick MOYES, 2008. "Bidimensional Inequalities with an Ordinal Variable," Cahiers du GREThA (2007-2019) 2008-14, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    17. 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.
    18. Ooghe, Erwin, 2007. "Sequential dominance and weighted utilitarianism," Economics Letters, Elsevier, vol. 94(2), pages 208-212, February.
    19. Flaviana Palmisano & Ida Petrillo, 2022. "A general rank‐dependent approach for distributional comparisons," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 24(2), pages 380-409, April.
    20. Peter Lambert & Xavi Ramos, 2001. "Welfare Comparisons: Sequential Procedures for Heterogeneous Population," CESifo Working Paper Series 519, CESifo.
    21. Nicolas Gravel & Patrick Moyes, 2011. "Bidimensional Inequalities with an Ordinal Variable," Studies in Choice and Welfare, in: Marc Fleurbaey & Maurice Salles & John A. Weymark (ed.), Social Ethics and Normative Economics, pages 101-127, Springer.
    22. repec:zbw:hohpro:331 is not listed on IDEAS
    23. repec:zbw:hohpro:333 is not listed on IDEAS
    24. Udo Ebert & Patrick Moyes, 2017. "Inequality and isoelastic equivalence scales: restrictions and implications," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 295-326, February.

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