TY - JOUR
T1 - Ranking objects from a preference relation over their subsets
AU - Bernardi, Giulia
AU - Lucchetti, Roberto
AU - Moretti, Stefano
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
KW - Economics and Econometrics
KW - Social Sciences (miscellaneous)
KW - Economics and Econometrics
KW - Social Sciences (miscellaneous)
UR - http://hdl.handle.net/10807/133918
UR - http://link.springer-ny.com/link/service/journals/00355/index.htm
U2 - 10.1007/s00355-018-1161-1
DO - 10.1007/s00355-018-1161-1
M3 - Article
SP - N/A-N/A
JO - Social Choice and Welfare
JF - Social Choice and Welfare
SN - 0176-1714
ER -