<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>

We introduce a ranking of multidimensional alternatives, including un- certain 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...

The paper is a brief account of Georges-Théodule Guilbaud?s (1912-2006) contributions to contemporary aggregative theories. An unnoticed precursor, Guilbaud anticipated on the algebraic conception of aggregation and on the more recent judgment aggregation theory, which generalizes social...

Judgment aggregation theory, or rather, as we conceive of it here, logical aggregation theory generalizes social choice theory by having the aggregation rule bear on judgments of all kinds instead of merely preference judgments. It derives from Kornhauser and Sager’s doctrinal paradox and List...