Leximax Relations in Decision Making through the Dominance Plausible Rule

摘要

In qualitative decision theory, a very natural way of defining preference relations (r) over the policies (acts) is by using the so called Dominance Plausible Rule. To do that, we need a relation > over the consequences and a relation is contained in over the events. Very interesting axiomatic characterizations, a la Savage, have been established for these decision relations [6,7]. Namely, when the relation is contained in is a possibilistic relation. Unfortunately, this kind of decision relation is not discriminant enough. We have searched for decision rules that discriminate more than those defined through a possibilistic relation. In particular, in this work, we study decision relations defined by the Dominance Plausible Rule using a leximax relation is contained in give an axiomatic characterization of these decision relations.