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On Multidimensional Inequality in Partitions of Multisets

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  • Ernesto Savaglio
  • Stefano Vannucci

Abstract

We study multidimensional inequality in partitions of finite multisets with thresholds. In such a setting, a Lorenz-like preorder, a family of functions preserving such a preorder, and a counterpart of the Pigou-Dalton transfers are defined, and a version of the celebrated Hardy-Littlewood-Pölya characterization results is provided.

Suggested Citation

  • Ernesto Savaglio & Stefano Vannucci, 2007. "On Multidimensional Inequality in Partitions of Multisets," Department of Economics University of Siena 504, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:504
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    File URL: http://repec.deps.unisi.it/quaderni/504.pdf
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    References listed on IDEAS

    as
    1. Sen, Amartya, 1997. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198292975.
    2. Ernesto Savaglio, 2006. "Multidimensional inequality with variable population size," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 85-94, May.
    3. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 474-492, January.
    4. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(1), pages 1-13.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Multisets; majorization; Lorenz preorder; Hardy-Littlewood-Polya theorem; transfers;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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