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On Multidimensional Inequality in Partitions of Multisets


  • Ernesto Savaglio


  • Stefano Vannucci



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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    References listed on IDEAS

    1. Savaglio, Ernesto & Vannucci, Stefano, 2007. "Filtral preorders and opportunity inequality," Journal of Economic Theory, Elsevier, vol. 132(1), pages 474-492, January.
    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. Serge-Christophe Kolm, 1977. "Multidimensional Egalitarianisms," The Quarterly Journal of Economics, Oxford University Press, vol. 91(1), pages 1-13.
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    More about this item


    Multisets; majorization; Lorenz preorder; Hardy-Littlewood-Polya theorem; transfers;

    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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