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|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +33 (0)184.108.40.206.75
Fax: +33 (0)220.127.116.11.47
Web page: http://gretha.u-bordeaux4.fr/
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- Atkinson, Anthony B & Bourguignon, Francois, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Wiley Blackwell, vol. 49(2), pages 183-201, April.
- 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.
- Moyes, Patrick, 2012. "Comparisons of heterogeneous distributions and dominance criteria," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1351-1383.
- Kaname Miyagishima, 2010. "A characterization of the maximin social ordering," Economics Bulletin, AccessEcon, vol. 30(2), pages 1278-1282.
- Fleurbaey, Marc, 2008.
"Fairness, Responsibility, and Welfare,"
Oxford University Press, number 9780199215911, March.
- Maria Cancian & Deborah Reed, 1999. "The impact of wives’ earnings on income inequality: Issues and estimates," Demography, Springer, vol. 36(2), pages 173-184, May.
- Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
When requesting a correction, please mention this item's handle: RePEc:grt:wpegrt:2013-10. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Emmanuel Petit)
If references are entirely missing, you can add them using this form.