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Rearrangements and sequential rank order dominance

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  • Moyes, Patrick

Abstract

Distributive analysis typically involves comparisons of distributions where individuals differ in more than just one attribute. In the particular case where there are two attributes and where the distribution of one of these two attributes is fixed, one can appeal to sequential rank order dominance for comparing distributions. We show that sequential rank order domination of one distribution over another implies that the dominating distribution can be obtained from the dominated one by means of a finite sequence of favourable permutations, and conversely. We provide two examples where favourable permutations prove to have interesting implications from a normative point of view.

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  • Moyes, Patrick, 2013. "Rearrangements and sequential rank order dominance," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 278-290.
    • Handle: RePEc:eee:mateco:v:49:y:2013:i:4:p:278-290
    DOI: 10.1016/j.jmateco.2013.02.005
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    Cited by:

    1. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2017. "Hammond’s Equity Principle and the Measurement of Ordinal Inequalities," AMSE Working Papers 1703, Aix-Marseille School of Economics, France.
    2. Christophe Muller, 2019. "Social Shock Sharing and Stochastic Dominance," AMSE Working Papers 1903, Aix-Marseille School of Economics, France.
    3. Nicolas Gravel & Brice Magdalou & Patrick Moyes, 2019. "Inequality measurement with an ordinal and continuous variable," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 52(3), pages 453-475, March.

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    More about this item

    Keywords

    Rearrangements; Favourable permutations; Sequential rank order dominance; Inequality; Matching; Mobility;
    All these keywords.

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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