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A Height-Based Multidimensional Extension of the Lorenz Preorder for Integer-Valued Distributions

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  • Savaglio Ernesto

    (Dipartimento di Economia, Universita degli Studi Gabriele d’Annunzio Chieti e Pescara, viale Pindaro, 42, Pescara65127, Italy; Dipartimento di Economia Politica e Statistica, Universita degli Studi di Siena, piazza San Francesco, 7, Siena53100, Italy)

  • Vannucci Stefano

    (Dipartimento di Economia Politica e Statistica, Universita degli Studi di Siena, piazza San Francesco, 7, Siena53100, Italy)

Abstract

We study multidimensional inequality on integers. In such a setting, a Lorenz-like preorder and a suitably adapted version of the Muirhead-Pigou-Dalton transfers are defined, and a counterpart of some classic results on inequality measurement is established in this multivariate setting.

Suggested Citation

  • Savaglio Ernesto & Vannucci Stefano, 2017. "A Height-Based Multidimensional Extension of the Lorenz Preorder for Integer-Valued Distributions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 17(2), pages 1-8, June.
    • Handle: RePEc:bpj:bejtec:v:17:y:2017:i:2:p:8:n:9
    DOI: 10.1515/bejte-2016-0113
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    References listed on IDEAS

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    1. Stefano Vannucci, 2013. "A characterization of height-based extensions of principal filtral opportunity rankings," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, December.
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      More about this item

      Keywords

      height-function; multidimensional inequality; poset; 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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