Ranking Distributions of an Ordinal Attribute

Abstract : This paper establishes foundational equivalences between alternative criteria for comparing distributions of an ordinally measurable attribute. A first criterion is associated with the possibility of going from distribution to the other by a finite sequence of two elementary operations: increments of the attribute and Hammond transfers. The later transfers are like the famous Pigou-Dalton ones, but without the requirement - that would be senseless in an ordinal setting - that the "amount" transferred from the "rich" to the "poor" is fixed. A second criterion is a new easy-to-use statistical criterion associated to a specifically weighted recursion on the cumulative density of the distribution function. A third criterion is that resulting from the comparison of numerical values assigned to distributions by a large class of additively separable social evaluation functions. Dual versions of these criteria are also considered and alternative equivalence results are established. Illustrations of the criteria are also provided.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [35 references]  Display  Hide  Download

https://halshs.archives-ouvertes.fr/halshs-01082996
Contributor : Charles Lai Tong <>
Submitted on : Monday, December 21, 2015 - 12:34:01 PM
Last modification on : Monday, November 18, 2019 - 3:37:10 PM
Long-term archiving on : Saturday, April 29, 2017 - 11:39:32 PM

File

WP 2014 - Nr 50.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : halshs-01082996, version 2

Citation

Nicolas Gravel, Brice Magdalou, Patrick Moyes. Ranking Distributions of an Ordinal Attribute. 2015. ⟨halshs-01082996v2⟩

Share

Metrics

Record views

307

Files downloads

380