Characterizing multidimensional inequality measures which fulfil the Pigou–Dalton bundle principle
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The Pigou–Dalton bundle dominance introduced by Fleurbaey and Trannoy (Social Choice and Welfare, 2003) captures the basic idea of the Pigou–Dalton transfer principle, demanding that, in the multidimensional context also, “a transfer from a richer person to a poorer one decreases inequality”. However, up to now, this principle has not been incorporated to derive multidimensional inequality measures. The aim of this article is to characterize measures which fulfil this property, and to identify sub-families of indices from a normative approach. The families we derive share their functional forms with others having already been obtained in the literature, the major difference being the restrictions upon the parameters.
KeywordsGeneralize Entropy Econ Theory Aggregative Measure Inequality Measure Inequality Index
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- Bourguignon F (1999) Comment to “multidimensioned approaches to welfare analysis” by Maausoumi, E. In: Silber J (eds) Handbook of income inequality measurement. Kluwer Academic Publishers, Boston, pp 477–484Google Scholar
- Diez H, Lasso de la Vega MC, de Sarachu A, Urrutia A (2007) A consistent multidimensional generalization of the Pigou–Dalton transfer principle: an analysis. BE J Theor Econ. Available via DIALOG. http://www.bepress.com/bejte/vol7/iss1/art45
- Kolm SC (1969) The optimal production of social justice. In: Margolis J, Guitton H (eds) Public economics. Macmillan, London, pp 145–200Google Scholar
- List CH (1999) Multidimensional inequality measurement: a proposal. Working paper in economics no 1999-W27. Nuffield College, OxfordGoogle Scholar
- Marshall AW, Olkin I (1979) Inequalities: theory of majorization and its applications. Academic Press, New YorkGoogle Scholar