Rearrangements and Sequential Rank Order Dominance
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.
|Date of creation:||2013|
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- Patrick Moyes & Nicolas Gravel, 2012.
"Ethically robust comparisons of bidimensional distributions with an ordinal attribute,"
- 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.
- Patrick Moyes & Nicolas Gravel, 2011. "Ethically robust comparisons of bidimensional distributions with an ordinal attribute," Post-Print hal-00796064, HAL.
- Patrick MOYES (GREThA, CNRS, UMR 5113) & Nicolas GRAVEL (Aix-Marseille University and AMSE (GREQAM)), 2011. "Ethically Robust Comparisons of Bidimensional Distributions with an Ordinal Attribute," Cahiers du GREThA 2011-36, Groupe de Recherche en Economie Théorique et Appliquée.
- Moyes, Patrick, 2012.
"Comparisons of heterogeneous distributions and dominance criteria,"
Journal of Economic Theory,
Elsevier, vol. 147(4), pages 1351-1383.
- Patrick MOYES (GREThA et IDEP Marseille), 2011. "Comparisons of Heterogeneous Distributions and Dominance Criteria," Cahiers du GREThA 2011-23, Groupe de Recherche en Economie Théorique et Appliquée.
- Fleurbaey, Marc, 2012.
"Fairness, Responsibility, and Welfare,"
Oxford University Press, number 9780199653591, December.
- Kaname Miyagishima, 2010. "A characterization of the maximin social ordering," Economics Bulletin, AccessEcon, vol. 30(2), pages 1278-1282.
- Maria Cancian & Deborah Reed, 1999. "The impact of wives’ earnings on income inequality: Issues and estimates," Demography, Springer;Population Association of America (PAA), vol. 36(2), pages 173-184, May.
- A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 183-201.
- Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
- Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
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