Hammond’s Equity Principle and the Measurement of Ordinal Inequalities - HAL-SHS - Sciences de l'Homme et de la Société Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2017

Hammond’s Equity Principle and the Measurement of Ordinal Inequalities

Résumé

What would be the analogue of the Lorenz quasi-ordering when the variable of interest is of a purely ordinal nature? We argue that it is possible to derive such a criterion by substituting for the Pigou-Dalton transfer used in the standard inequality literature what we refer to as a Hammond progressive transfer. According to this criterion, one distribution of utilities is considered to be less unequal than another if it is judged better by both the lexicographic extensions of the maximin and the minimax, henceforth referred to as the leximin and the antileximax, respectively. If one imposes in addition that an increase in someone’s utility makes the society better off, then one is left with the leximin, while the requirement that society welfare increases as the result of a decrease of one person’s utility gives the antileximax criterion. Incidently, the paper provides an alternative and simple characterisation of the leximin principle widely used in the social choice and welfare literature.
Fichier principal
Vignette du fichier
WP 2017 - Nr 03.pdf (1.09 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-01430838 , version 1 (10-01-2017)

Identifiants

  • HAL Id : halshs-01430838 , version 1

Citer

Nicolas Gravel, Brice Magdalou, Patrick Moyes. Hammond’s Equity Principle and the Measurement of Ordinal Inequalities. 2017. ⟨halshs-01430838⟩
419 Consultations
534 Téléchargements

Partager

Gmail Facebook X LinkedIn More