Abstract

Plurality rule uniquely satisfies anonymity, monotonicity, neutrality, and tops-onlyness. However, it is not always able to produce resolute outcomes. We study singleton-valued refinements of plurality rule that satisfy all but one of these four axioms. Monotonicity is preserved by all refinements of plurality, whereas no refinement satisfies the remaining three except for a very limited case. We explore what dropping one of the three remaining axioms brings about towards singleton-valued refinements.

中文翻译：

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多项细化的公理化

摘要

复数规则独特地满足了匿名性、单调性、中立性和唯上性。然而，它并不总是能够产生坚决的结果。我们研究满足这四个公理中除一个之外的所有其他规则的复数规则的单值改进。单调性通过所有的复数细化得以保留，而除了非常有限的情况之外，没有任何细化能够满足其余三个。我们探索丢弃剩下的三个公理之一会给单例值的改进带来什么。