Despite being a well-studied decision rule, the Slater rule has not been analyzed axiomatically. In this paper, we show that it is the only rule which is unbiased, monotone, tournamental, tie-breaking, and gradual. Thereby we provide a characterization of it for the first time. We also show these axioms to be logically independent.

中文翻译：

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Slater规则的公理化表征

尽管Slater规则是经过充分研究的决策规则，但尚未经过公理分析。在本文中，我们证明了这是唯一的规则，它是无偏，单调，竞赛，平局和渐进的。因此，我们首次对其进行了表征。我们还证明了这些公理在逻辑上是独立的。