In qualitative decision theory, a very natural way of defining preference relations ≥ 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 contains over the events. Very interesting axiomatic characterizations, a la Savage, have been established for these decision relations [6,7]. Namely, when the relation contains 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 contains. We give an axiomatic characterization of these decision relations.
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