Rearrangements and Sequential Rank Order Dominance
AbstractDistributive 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Groupe de Recherche en Economie Théorique et Appliquée in its series Cahiers du GREThA with number 2013-10.
Date of creation: 2013
Date of revision:
Contact details of provider:
Postal: Avenue Léon Duguit, 33608 Pessac Cedex
Phone: +33 (0)22.214.171.124.75
Fax: +33 (0)126.96.36.199.47
Web page: http://gretha.u-bordeaux4.fr/
More information through EDIRC
Rearrangements; Favourable Permutations; Sequential Rank Order Dominance; Inequality; Matching; Mobility.;
Find related papers by 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-03-23 (All new papers)
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.:
- 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.
- Fleurbaey, Marc, 2012.
"Fairness, Responsibility, and Welfare,"
Oxford University Press, number 9780199653591.
- 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.
- 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 (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.
- 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.
- Muller, Christophe & Trannoy, Alain, 2012. "Multidimensional inequality comparisons: A compensation perspective," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1427-1449.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Vincent Frigant).
If references are entirely missing, you can add them using this form.