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A consistent multidimensional Pigou-Dalton transfer principle

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  • Bosmans, Kristof
  • Lauwers, Luc
  • Ooghe, Erwin

Abstract

The unidimensional Pigou-Dalton transfer principle demands that a regressive transfer in income--a transfer from worse-off (poor) to better-off (rich)--decreases social welfare. In a multidimensional setting the direct link between income (or any other attribute) and individual well-being is absent. We interpret the social welfare level of a distribution in which each individual has the same bundle as the individual well-being level. We define regressivity on the basis of this individual well-being ranking. In a setting with both transferable and non-transferable attributes, the imposition of the ensuing "consistent" Pigou-Dalton principle forces individual well-being to have a quasi-linear structure in the transferable attributes. Since we allow for transferable and non-transferable attributes, our result provides a normative underpinning for criteria in the distinct literatures of multidimensional inequality measurement (only transferable attributes) and of needs (one transferable and one non-transferable attribute).

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 144 (2009)
Issue (Month): 3 (May)
Pages: 1358-1371

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Handle: RePEc:eee:jetheo:v:144:y:2009:i:3:p:1358-1371

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Web page: http://www.elsevier.com/locate/inca/622869

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Keywords: Pigou-Dalton principle Multidimensional inequality measurement Majorization Budget dominance Needs Equivalence scale;

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Cited by:
  1. Croci Angelini, Elisabetta & Michelangeli, Alessandra, 2012. "Axiomatic measurement of multidimensional well-being inequality: Some distributional questions," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 41(5), pages 548-557.
  2. BOSMANS, Kristof & DECANCQ, Koen & OOGHE, Erwin, 2013. "What do normative indices of multidimensional inequality really measure?," CORE Discussion Papers 2013035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Claudio Zoli & Peter J. Lambert, 2005. "Sequential procedures for poverty gap dominance," University of Oregon Economics Department Working Papers 2005-1, University of Oregon Economics Department, revised 01 Jan 2005.
  4. Laurence Kranich, 2009. "Measuring opportunity inequality with monetary transfers," Journal of Economic Inequality, Springer, vol. 7(4), pages 371-385, December.

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