We introduce a ranking of multidimensional alternatives, including uncertain prospects as a particular case, when these objects can be given a matrix form. This ranking is separable in terms of rows and columns, and continuous and monotonic in the basic quantities. Owing to the theory of...

Few problems in decision theory have raised more persisting interest than the Allais paradox. It appears that sufficiently many brilliant works have addressed it from within decision theory proper for history and philosophy of science now to enter the stage. In its historical side, the paper...

<Para ID="Par1">Approval voting has attracted considerable attention in voting theory, but it has rarely been investigated in an Arrovian framework of collective preference (”social welfare”) functions and never been connected with Arrow’s impossibility theorem. The article explores these two directions....</para>