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Pré-Publication, Document De Travail Année : 2015

Ranking Distributions of an Ordinal Attribute

Résumé

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.
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Dates et versions

halshs-01082996 , version 1 (14-11-2014)
halshs-01082996 , version 2 (21-12-2015)

Identifiants

  • HAL Id : halshs-01082996 , version 2

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