Axiomatic characterisation of weighted boolean vote aggregators

Abstract

A Federation Boolean Vote Aggregator allows a finite set of coalitions to unilaterally elect any candidate from a set containing exactly two candidates. There are several special types of Federation Boolean Vote Aggregators, all of which share a property: the candidates are assigned weights, and for a coalition to be decisive, it is necessary that the sum of the weights of its members exceed a pre-assigned quota. In this paper we address the following question: When is a Federation Boolean Vote aggregator a Weighted Boolean Vote Aggregator?