Program > Papers by author > Moyes Patrick

Tuesday 13
C5 - Equity, justice and other normative criteria and measurement II
Chair: Geir Bjarne Asheim
› 9:00 - 9:25 (25min)
› Auditorium - 2nd floor
Hammond's Equity Principle and the Measurement of Ordinal Inequalities
Nicolas Gravel  1@  , Brice Magdalou  2@  , Patrick Moyes  3@  
1 : Aix-Marseille School of Economics  (AMSE)  -  Website
Ecole Centrale Marseille (ECM), Ecole des Hautes Etudes en Sciences Sociales (EHESS), Centre national de la recherche scientifique (CNRS)
GREQAM, Centre de la Charité, 2 rue de la Charité, 13236 Marseille Cedex 02 -  France
2 : Laboratoire Montpelliérain d'Économie Théorique et Appliquée  (LAMETA)  -  Website
Centre international de hautes études agronomiques méditerranéennes [CIHEAM], Institut national de la recherche agronomique (INRA) : UR1135, CNRS : UMR5474, Université Montpellier I
34960 Montpellier cedex 2 -  France
3 : Groupe de Recherche en Economie Théorique et Appliquée  (GREThA)  -  Website
CNRS : UMR5113, Université Montesquieu - Bordeaux IV
Avenue Léon Duguit 33608 PESSAC -  France

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.

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