Non Binary Social Choice: A Brief Introduction

Abstract

The purpose of this article is to provide a brief introduction to choice function approaches that examine Arrow’s impossibility result. In Arrow’s original formulation, the problem was to aggregate individual preferences into group preferences, while assuming that both individual and group preferences remained transitive and complete. It has long been recognized, however, that the transitivity of preferences is a strong assumption and in the theory of social choice less demanding properties are argued to be more reasonable.