We prove axiomatic characterizations of several important multiwinner rules within the class of approval-based committee choice rules. These are voting rules that return a set of (fixed-size) committees. In particular, we provide axiomatic characterizations of Proportional Approval Voting, the Chamberlin--Courant rule, and other Thiele methods. These rules share the important property that they satisfy an axiom called consistency, which is crucial in our characterizations.
翻译:我们证明,在以批准为基础的委员会选择规则的类别中,对若干重要的多赢规则进行了不言自明的描述。这些是返回一组(固定规模)委员会的表决规则。特别是,我们提供了比例批准投票的不言自明特征、商会-陪审团规则和其他Thiele方法。 这些规则共有重要财产,它们符合所谓的一致性,这对于我们的定性至关重要。