This paper is an axiomatic study of consistent approval-based multi-winner
rules, i.e., voting rules that select a fixed-size group of candidates based on
approval ballots. We introduce the class of counting rules and provide an
axiomatic characterization of this class based on the consistency axiom.
Building upon this result, we axiomatically characterize three important
consistent multi-winner rules: Proportional Approval Voting, Multi-Winner
Approval Voting and the Approval Chamberlin--Courant rule. Our results
demonstrate the variety of multi-winner rules and illustrate three different,
orthogonal principles that multi-winner voting rules may represent: individual
excellence, diversity, and proportionality.

本文是对一种称为 “基于批准的多赢家规则” 的投票规则进行的公理化研究，介绍了计数规则，提供了基于一致性公理的这个类别的公理特征描述，并基于此，公理化刻画了三种重要的一致性多赢家规则：比例批准投票、多赢家批准投票和批准的钦定 -- 卡伦特规则。我们的研究结果展示了多赢家规则的种类和三个不同的正交原则，它们是：个人品质、多样性和比例性。