A consistent multidimensional Pigou-Dalton transfer principle
The Pigou-Dalton principle demands that a regressive transfer decreases social welfare. In the unidimensional setting this principle is consistent, because regressivity in terms of attribute amounts and regressivity in terms of individual well-being coincide in the case of a single attribute. In the multidimensional setting, however, the relationship between the various attributes and well-being is complex. To formulate a multidimensional Pigou-Dalton transfer principle, a concept of wellbeing must therefore first be defined. We propose a version of the Pigou-Dalton principle that defines regressivity in terms of the individual well-being ranking that underlies the social ranking on which the principle is imposed. This well-being ranking (of attribute bundles) is induced from the social ranking over distributions in which all individuals have the same attribute bundle. It is shown that this new principle—the consistent Pigou-Dalton principle—imposes a quasi-linear structure on the well-being ranking. We discuss the implications of this result within the literature on multidimensional inequality measurement and within the literature on needs.
|Date of creation:||Mar 2006|
|Contact details of provider:|| Web page: http://feb.kuleuven.be/Economics/|
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.:
- Udo Ebert & Patrick Moyes, 2003.
"Equivalence Scales Reconsidered,"
Econometric Society, vol. 71(1), pages 319-343, January.
- Udo Ebert & Patrick Moyes, 2002. "Equivalence scales reconsidered," Post-Print hal-00156680, HAL.
- Udo Ebert & Patrick Moyes, 2003. "Equivalence scales reconsidered," Post-Print hal-00156453, HAL.
- 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.
- Fleurbaey, M. & Hagnere, C. & Trannoy, A., 1998. "Welfare Comparisons with Bounded Equivalence Scales," Papers 9823, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
- M. Fleurbaey & C. Hagneré & A. Trannoy, 1998. "Welfare comparisons with bounded equivalence scales," THEMA Working Papers 98-23, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- Bourguignon, Francois, 1989. "Family size and social utility : Income distribution dominance criteria," Journal of Econometrics, Elsevier, vol. 42(1), pages 67-80, September.
- Capeau, Bart & Ooghe, Erwin, 2007. "On comparing heterogeneous populations: Is there really a conflict between welfarism and a concern for greater equality in living standards?," Mathematical Social Sciences, Elsevier, vol. 53(1), pages 1-28, January.
- Charles Blackorby & David Donaldson & Maria Auersperg, 1981. "A New Procedure for the Measurement of Inequality within and among Population Subgroups," Canadian Journal of Economics, Canadian Economics Association, vol. 14(4), pages 665-685, November.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 1-13.
- Shorrocks, Anthony, 2004. "Inequality and Welfare Evaluation of Heterogeneous Income Distributions," WIDER Working Paper Series 001, World Institute for Development Economic Research (UNU-WIDER).
- Anthony Shorrocks, 2004. "Inequality and welfare evaluation of heterogeneous income distributions," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 2(3), pages 193-218, July.
- Ebert, Udo, 1997. "Social Welfare When Needs Differ: An Axiomatic Approach," Economica, London School of Economics and Political Science, vol. 64(254), pages 233-244, May. Full references (including those not matched with items on IDEAS)