Decision-making through Dominance Plausible Rule: New characterizations

Abstract We go deeper into the study of the Dominance Plausible Rule (DPR) model of preferences over acts due to Dubois et al. This model corresponds, in the qualitative framework, to Savage’s model. The DPR model relies on two purely ordinal primitives: (1) a preference over consequences and (2) a plausibility relation over sets of states of the world. We characterize several versions of the model defined by different classes of plausibility relations. Our representation results also show that the model has interesting rationality properties. As a consequence of our characterizations, we obtain subjective plausibility relations of several kinds.