Ranking objects from a preference relation over their subsets

Gio, 28/02/2019 - 12:00 / 14:00

203, Viale Romania, 32

Speaker: Roberto Lucchetti , Politecnico di Milano

Abstract

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.