Ranking Distributions of an Ordinal Attribute
Résumé
This paper establishes an equivalence between three incomplete rank-ings of distributions of an ordinally measurable attribute. The first rank-ing is that associated with the possibility of going from distribution to the other by a finite sequence of two elementary operations: increments of the attribute and the so-called Hammond transfer. The later transfer is like the Pigou-Dalton transfer, but without the requirement -that would be senseless in an ordinal setting -that the "amount" transferred from the "rich" to the "poor" is fixed. The second ranking is an easy-to-use statistical criterion associated to a specifically weighted recursion on the cumulative density of the distribution function. The third ranking is that resulting from the comparison of numerical values assigned to distribu-tions by a large class of additively separable social evaluation functions. Illustrations of the criteria are also provided.
Domaines
Economies et financesOrigine | Fichiers produits par l'(les) auteur(s) |
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