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Multidimensional Lorenz dominance: A definition and an example

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  • Asis Kumar Banerjee

    (Institute of Development Studies Kolkata)

Abstract

This paper seeks to extend the unidimensional notion of Lorenz dominance to the multidimensional context. It formulates a definition of a multidimensional Lorenz dominance relation (MLDR) on the set of alternative distributions of well-being in an economy by incorporating generalizations of the well-known Pigou-Dalton condition of unidimensional theory. Besides the definitional requirements, an MLDR is also desired to satisfy two other conditions which seem to be intuitively reasonable. The paper notes that the existing literature does not seem to contain an example of an MLDR with these characteristics and seeks to close this gap.

Suggested Citation

  • Asis Kumar Banerjee, 2014. "Multidimensional Lorenz dominance: A definition and an example," Working Papers 328, ECINEQ, Society for the Study of Economic Inequality.
    • Handle: RePEc:inq:inqwps:ecineq2014-328
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    File URL: http://www.ecineq.org/milano/WP/ECINEQ2014-328.pdf
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    References listed on IDEAS

    as
    1. Fields, Gary S & Fei, John C H, 1978. "On Inequality Comparisons," Econometrica, Econometric Society, vol. 46(2), pages 303-316, March.
    2. List, C., 1999. "Multidimensional Inequality Measurement: a Proposal," Economics Papers 9927, Economics Group, Nuffield College, University of Oxford.
    3. Casilda Lasso de la Vega & Ana Urrutia & Amaia Sarachu, 2010. "Characterizing multidimensional inequality measures which fulfil the Pigou–Dalton bundle principle," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 319-329, July.
    4. Boland, Philip J. & Proschan, Frank, 1988. "Multivariate arrangement increasing functions with applications in probability and statistics," Journal of Multivariate Analysis, Elsevier, vol. 25(2), pages 286-298, May.
    5. Marc Fleurbaey & Alain Trannoy, 2003. "The impossibility of a Paretian egalitarian," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(2), pages 243-263, October.
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    More about this item

    Keywords

    Multidimensional Lorenz dominance.;

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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