论文标题

评估首选加权批准投票系统的特性

Evaluating the Properties of a First Choice Weighted Approval Voting System

论文作者

Butler, Peter, Lin, Jerry

论文摘要

多元性和认可投票是两个具有不同优势和劣势的著名投票系统。在本文中,我们考虑了一个新的投票系统,我们称为Beta(K),该系统允许选民选择单个第一选择候选人并批准任何其他数量的候选人,其中K表示对首选的相对权重;该系统本质上是多数和认可的混合体。我们的主要目标是表征b beta(k)的任何值的行为。在某些合理的假设下,可以在单个赢家的情况下模仿多数或批准投票,而否则可能会打破联系。假设选民是诚实的,我们表明,如果知道各自的批准和多元票数,则可以找到给定候选人将赢得选举的K值。最后,我们展示了Beta(K)如何满足一些常用的投票系统标准。

Plurality and approval voting are two well-known voting systems with different strengths and weaknesses. In this paper we consider a new voting system we call beta(k) which allows voters to select a single first-choice candidate and approve of any other number of candidates, where k denotes the relative weight given to a first choice; this system is essentially a hybrid of plurality and approval. Our primary goal is to characterize the behavior of beta(k) for any value of k. Under certain reasonable assumptions, beta(k) can be made to mimic plurality or approval voting in the event of a single winner while potentially breaking ties otherwise. Under the assumption that voters are honest, we show that it is possible to find the values of k for which a given candidate will win the election if the respective approval and plurality votes are known. Finally, we show how some of the commonly used voting system criteria are satisfied by beta(k).

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