Representation of Preferences by Quasi-Linear Means

Starting by quasilinear means, we propose and analyze functionals that allow to represent the preferences of the decision maker in a more general setting; the preference order in the set of the alternatives depends on the way the functional has been generated. The functionals of this kind enjoy classical properties as independence and dominance principle. Anyway we stress that to make use of a single functional is not sufficient to describe paradoxical situations that arise for istance in the Kahneman and Tversky experiment.