Ranking objects from a preference relation over their subsets
Bernardi, Giulia; Lucchetti, Roberto; Moretti, Stefano (2019), Ranking objects from a preference relation over their subsets, Social Choice and Welfare, 52, 4, p. 589-606. 10.1007/s00355-018-1161-1
TypeArticle accepté pour publication ou publié
Journal nameSocial Choice and Welfare
MetadataShow full item record
Dipartimento di Matematica [Pisa]
MOX-Department of Mathematics "F.Brioschi", Politecnico di Milano, Italy.
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)In many everyday situations, we need to rank individuals or single items having the possibility to observe the behavior of groups. In this paper we propose a way to get this ranking over the elements of a set X, starting from an arbitrary preference relation over the subsets of X and taking into account the information provided by this ranking over the subsets. To this purpose, we use a very common approach in the social choice framework: we single out some properties that a general solution should satisfy, and we prove that these properties characterize a unique solution. Given the generality of the approach, we believe that this paper is only a starting point for a more extended analysis. In particular, it is clear that different contexts can suggest other properties, thus identifying alternative ranking methods.
Subjects / KeywordsRanking
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