Nonclassical approaches to judgement aggregation

Abstract

Judgment aggregation deals with the problem of collecting judgments on a predefined set of issues from a group of individuals into a single consistent judgment set. It can be seen as a generalization of classical preference aggregation from social choice theory. As such it runs into many of the same impossibilities and paradoxes, like a judgment aggregation variant of Arrows Theorem. Similar to social choice theory, circumventing the impossibilities lies at the heart of the study of judgment aggregation. In recent years non-classical logics have shown to be a viable tool in that regard. With this work we want to give a comprehensive, uniform overview over existing research employing non-classical logics of any kind to study judgment aggregation, so that it can be used as a starting point for pursuing further research in the field.