Social Welfare Functions which preserve distances

Abstract

The notion of keeping distances, introduced by N. Baigent in [2], avoids the need to introduce topological concepts when defining Social Welfare Functions with requirements analogous to those established by Chichilnsky in [3]. In the following study we propose an extension of the results of Baigent, in a non topological framework, to a much broader class of metrics which enables the case of infinite agents to be considered in a natural fashion.