论文标题
公理在民主选举中失败
Axioms for Defeat in Democratic Elections
论文作者
论文摘要
我们提出了六个公理，涉及一个候选人在涉及两个或更多候选人的民主选举中击败另一个公理。已知的投票程序可以广泛满足其中五个公理。第六个公理是肯尼斯·阿罗（Kenneth Arrow）著名的无关替代方案独立性（IIA）的衰弱。我们称这种弱连贯的IIA。我们证明，五个公理和连贯的IIA挑出了一种确定最近工作中研究的失败的方法：拆分周期。特别是，分裂周期为所有满足民主失败的六个公理的失败提供了最坚决的定义。此外，我们分析了分裂周期如何逃脱箭头的不可能定理和相关的不可能结果。
We propose six axioms concerning when one candidate should defeat another in a democratic election involving two or more candidates. Five of the axioms are widely satisfied by known voting procedures. The sixth axiom is a weakening of Kenneth Arrow's famous condition of the Independence of Irrelevant Alternatives (IIA). We call this weakening Coherent IIA. We prove that the five axioms plus Coherent IIA single out a method of determining defeats studied in our recent work: Split Cycle. In particular, Split Cycle provides the most resolute definition of defeat among any satisfying the six axioms for democratic defeat. In addition, we analyze how Split Cycle escapes Arrow's Impossibility Theorem and related impossibility results.
