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Ethically Robust Comparisons of Distributions of Two Individual Attributes

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Author Info
Nicolas Gravel () (Greqam)
Patrick Moyes () (GRAPE-CNRS, UniversitŽ de Montesquieu, Bordeaux IV)

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Abstract

This paper examines the normative properties of an empirically implementable dominance criterion for comparing alternative distributions of two attributes, one of which being cardinally measurable, between an arbitrary number of individuals. The criterion, which generalizes the one proposed by Bourguignon (1989), states that distribution A dominates distribution B when poverty in the cardinally measurable attribute, as measured by the poverty gap, is no greater in A than in B for all poverty lines that are weakly decreasing with respect to the other attribute. The criterion is shown to be equivalent to the ranking of distributions of two attributes that would be aggreed upon by all utility-inequality averse welfarist social planners who assume that households convert attributes into well-being by the same increasing utility function satisfying the property that the marginal utility of the cardinally measurable attribute is decreasing with respect to the two attributes. This paper also identifies the elementary equalizing transformations that correspond to this criterion.

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Publisher Info
Paper provided by Institut d'economie publique (IDEP), Marseille, France in its series IDEP Working Papers with number 0605.

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Length: 51 pages
Date of creation: Aug 2006
Date of revision: Aug 2006
Handle: RePEc:iep:wpidep:0605

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Related research
Keywords: normative analysis; two-dimensional dominance; elementary transformations.;

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Find related papers by JEL classification:
D30 - Microeconomics - - Distribution - - - General
D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
I32 - Health, Education, and Welfare - - Welfare and Poverty - - - Measurement and Analysis of Poverty

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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.:
  1. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
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  3. Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Blackwell Publishing, vol. 49(2), pages 183-201, April. [Downloadable!] (restricted)
  4. Moyes, Patrick, 1987. "A new concept of Lorenz domination," Economics Letters, Elsevier, vol. 23(2), pages 203-207. [Downloadable!] (restricted)
  5. Vincenzo DenicolÔ, 1999. "A characterization of utilitarianism without the transitivity axiom," Social Choice and Welfare, Springer, vol. 16(2), pages 273-278. [Downloadable!] (restricted)
  6. Maasoumi, Esfandiar, 1986. "The Measurement and Decomposition of Multi-dimensional Inequality," Econometrica, Econometric Society, vol. 54(4), pages 991-97, July. [Downloadable!] (restricted)
  7. Kolm, Serge-Christophe, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, MIT Press, vol. 91(1), pages 1-13, February. [Downloadable!] (restricted)
  8. Beach, Charles M. & Chow, K. Victor & Formby, John P. & Slotsve, George A., 1994. "Statistical inference for decile means," Economics Letters, Elsevier, vol. 45(2), pages 161-167, June. [Downloadable!] (restricted)
  9. John A. Weymark, 2003. "The Normative Approach to the Measurement of Multidimensional Inequality," Working Papers 0314, Department of Economics, Vanderbilt University, revised Jan 2004. [Downloadable!]
  10. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June. [Downloadable!] (restricted)
  11. Ian Crawford, 2005. "A nonparametric test of stochastic dominance in multivariate distributions," Department of Economics Discussion Papers 1205, Department of Economics, University of Surrey. [Downloadable!]
  12. Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September. [Downloadable!] (restricted)
  13. Duclos, Jean-Yves & Sahn, David & Younger, Stephen D., 2001. "Robust Multidimensional Poverty Comparisons," Cahiers de recherche 0115, Université Laval - Département d'économique. [Downloadable!]
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  14. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April. [Downloadable!] (restricted)
  15. Beach, Charles M & Davidson, Russell, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," Review of Economic Studies, Blackwell Publishing, vol. 50(4), pages 723-35, October. [Downloadable!] (restricted)
  16. Russell Davidson & Jean-Yves Duclos, 2000. "Statistical Inference for Stochastic Dominance and for the Measurement of Poverty and Inequality," Econometrica, Econometric Society, vol. 68(6), pages 1435-1464, November.
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  17. Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Christoffer Sonne-Schmidt & Finn Tarp & Lars Peter Østerdal, 2008. "Ordinal Comparison of Multidimensional Deprivation: theory and application," Discussion Papers 08-33, University of Copenhagen. Department of Economics. [Downloadable!]
  2. Finn Tarp & Lars Peter Østerdal, 2007. "Multivariate Discrete First Order Stochastic Dominance," Discussion Papers 07-23, University of Copenhagen. Department of Economics. [Downloadable!]
  3. 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. [Downloadable!]
  4. Patrick MOYES (GREThA), 2008. "Poverty Measurement in Economics (In French)," Cahiers du GREThA 2008-06, Groupe de Recherche en Economie Théorique et Appliquée. [Downloadable!]
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