Measuring Diversity of Preferences in a Group

Abstract

We introduce a general framework for measuring the degree of diversity in the preferences held by the members of a group. We formalise and investigate three specific approaches within that framework: diversity as the range of distinct views held, diversity as aggregate distance between individual views, and diversity as distance of the group's views to a single compromise view. While similarly attractive from an intuitive point of view, the three approaches display significant differences when analysed using both the axiomatic method and empirical studies.