R. Lucchetti, G. Bernardi, S. Moretti
Suppose to face the problem to rank individuals on the basis of their performances when acting within groups. How is it possible to do in a fair way? Of course, how to do it depends on the underlying assumptions one wants to consider. However, a typical approach in this area is the following. Call ranking function any function acting from the ranking over the family of the subsets of a given finite set N to the ranking on the set N itself. Consider a short list of independent properties such a function should fulfill, and prove that this set of properties characterizes a precise function. We propose and illustrate a list of four properties, and we prove that this list is sufficient to define a unique ranking function. We also prove that the properties are independent, we discuss a dual approach, and we illustrate some possible variants of the problem.
Palabras clave: Social choice, ranking, neutrality, coalitional anonimity, monotonicity
Programado
GT11-6 MA-6 Optimización Continua. Homenaje a Marco Antonio López
6 de septiembre de 2019 15:30
I2L7. Edificio Georgina Blanes