扩大批准规则：改进比例代表和单调性
The Expanding Approvals Rule: Improving Proportional Representation and Monotonicity
摘要：
比例代表制（PR）经常在投票设置中作为一个主要的必要条件进行讨论。在过去的一个世纪左右，它是常见的，无论是在实践中和学术文献跳转到单一可转移投票（STV）作为实现PR的解决方案。全球一些最突出的选举改革运动正在推动通过STV。设计一个既满足与STV相同的PR性质又具有更好的单调性的投票规则一直是一个重要的开放问题。在本文中，我们首先提出了一个分类的比例代表公理一般弱顺序偏好，其中一些推广和加强以前介绍的概念。然后，我们提出了一个规则，称为扩展批准规则（EXPERIMENTAL），满足性能强于中央PR公理满足STV，可以处理在一个方便的和计算效率高的方式无差异，也满足更好的候选单调性属性。有鉴于此，我们提出的规则似乎是在投票环境中实现比例代表制的一个令人信服的解决方案。
英文摘要：
Proportional representation (PR) is often discussed in voting settings as a major desideratum. For the past century or so, it is common both in practice and in the academic literature to jump to single transferable vote (STV) as the solution for achieving PR. Some of the most prominent electoral reform movements around the globe are pushing for the adoption of STV. It has been termed a major open problem to design a voting rule that satisfies the same PR properties as STV and better monotonicity properties. In this paper, we first present a taxonomy of proportional representation axioms for general weak order preferences, some of which generalise and strengthen previously introduced concepts. We then present a rule called Expanding Approvals Rule (EAR) that satisfies properties stronger than the central PR axiom satisfied by STV, can handle indifferences in a convenient and computationally efficient manner, and also satisfies better candidate monotonicity properties. In view of this, our proposed rule seems to be a compelling solution for achieving proportional representation in voting settings.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
