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The inverse plurality rule—an axiomatization

机译:逆数复数规则—公理化

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Under the ‘inverse plurality rule’, voters specify only their least preferred alternative. Our first result establishes that this rule is the only scoring rule that satisfies the minimal veto condition (MV). We then prove that the inverse plurality rule is characterized by MV and the four well known conditions that characterize scoring rules; namely, Anonymity (A), Neutrality (N), Reinforcement (RE) and Continuity (CO). Our new characterization result is related to the characterizations of approval voting and of the widely used plurality rule. We finally show how the axiomatization of the inverse plurality rule can be extended to the axiomatization of elementary scoring rules (vote for t-alternatives scoring rules). We are indebted to two anonymous referees for their most useful comments.
机译:根据“反向复数规则”,选民仅指定他们最不喜欢的选择。我们的第一个结果确定该规则是唯一满足最小否决条件(MV)的评分规则。然后,我们证明了逆多元规则的特征在于MV和表征评分规则的四个众所周知的条件。即匿名(A),中立(N),加固(RE)和连续性(CO)。我们新的表征结果与批准投票的表征和广泛使用的复数规则有关。最后,我们展示了逆复数规则的公理化可以扩展到基本计分规则的公理化(投票给t替代记分规则)。我们感谢两位匿名裁判的最有用评论。

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