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Rearrangements and Sequential Rank Order Dominance. A Result with Economic Applications

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  • Patrick MOYES

Abstract

Distributive analysis typically involves comparisons of heterogeneous distributions where\r\nindividuals differ in more than just one attribute. In the particular case where there are two\r\nattributes and where the distribution of one of these two attributes is fixed, one can appeal\r\nto sequential rank order dominance for comparing distributions. We consider the degenerate\r\ncase where all individuals differ with respect to the attribute whose distribution is fixed and 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 three examples where favourable permutations prove to have interesting implications from a normative point of view.

Suggested Citation

  • Patrick MOYES, 2011. "Rearrangements and Sequential Rank Order Dominance. A Result with Economic Applications," Cahiers du GREThA (2007-2019) 2011-35, Groupe de Recherche en Economie Théorique et Appliquée (GREThA).
    • Handle: RePEc:grt:wpegrt:2011-35
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    File URL: http://cahiersdugretha.u-bordeaux.fr/2011/2011-35.pdf
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    References listed on IDEAS

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    1. Peter C. Fishburn, 1978. "Stochastic Dominance Without Transitive Preferences," Management Science, INFORMS, vol. 24(12), pages 1268-1277, August.
    2. Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
    3. Ekern, Steinar, 1981. "Time Dominance Efficiency Analysis," Journal of Finance, American Finance Association, vol. 36(5), pages 1023-1034, December.
    4. repec:bla:scandj:v:82:y:1980:i:1:p:45-58 is not listed on IDEAS
    5. A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 183-201.
    6. Rubin Saposnik, 1981. "Rank-dominance in income distributions," Public Choice, Springer, vol. 36(1), pages 147-151, January.
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    Cited by:

    1. Gravel, Nicolas & Moyes, Patrick, 2012. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1384-1426.
    2. Nicolas Gravel & Patrick Moyes, 2013. "Utilitarianism or welfarism: does it make a difference?," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(2), pages 529-551, February.

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    More about this item

    Keywords

    Rearrangements; Favourable Permutations; Sequential Rank Order Dominance; Matching; Mobility; Impatience;
    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
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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