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From unidimensional to multidimensional inequality: a review

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  • Francesco Andreoli

    () (University of Verona)

  • Claudio Zoli

    () (University of Verona)

Abstract

We review results concerning the representation of partial orders of univariate distributions via stochastic orders and investigate their applications to some classes of stochastic dominance conditions applied in inequality and welfare measurement. The results obtained in an unidimensional framework are extended to multidimensional analysis. We discuss difficulties arising from aggregation of multidimensional distributions into synthetic indicators that value both inequality in the distribution of each attribute and the association between the attributes. We explore the potential for multidimensional evaluations that are based on the partial orders induced by different criteria of majorization and organize related and equivalent inequality and welfare representations.

Suggested Citation

  • Francesco Andreoli & Claudio Zoli, 2020. "From unidimensional to multidimensional inequality: a review," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 5-42, April.
  • Handle: RePEc:spr:metron:v:78:y:2020:i:1:d:10.1007_s40300-020-00168-4
    DOI: 10.1007/s40300-020-00168-4
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    Cited by:

    1. Koen Decancq, 2020. "Measuring cumulative deprivation and affluence based on the diagonal dependence diagram," METRON, Springer;Sapienza Università di Roma, vol. 78(2), pages 103-117, August.
    2. John A. Weymark, 2020. "Commentary on “From unidimensional to multidimensional inequality: a review”," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 55-59, April.
    3. Karl Mosler, 2020. "Commentary on “From unidimensional to multidimensional inequality: a review”," METRON, Springer;Sapienza Università di Roma, vol. 78(1), pages 51-54, April.

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