选举中的多样性、一致性与极化
Diversity, Agreement, and Polarization in Elections
AI总结：
针对序数选举中缺乏多样性与极化度量标准的问题，本文设计了相应的度量指标及其近似计算方法，并提出“偏好序地图”以直观揭示投票间关系，有效捕捉多样性与极化特征。
摘要：
我们考虑序数选举（即选民对候选人进行排名的选举）中一致性、多样性和极化的概念。尽管（计算）社会选择提供了衡量选民之间一致性的良好指标，但缺乏针对另外两个概念的此类指标。我们试图通过设计合适的度量标准、提供其（近似）计算方法，并论证它们确实能很好地捕捉多样性和极化来纠正这一问题。特别地，我们提出了“偏好序地图”，以突出给定选举中投票之间的关系，并有助于论证其性质。
英文摘要：
We consider the notions of agreement, diversity, and polarization in ordinal elections (that is, in elections where voters rank the candidates). While (computational) social choice offers good measures of agreement between the voters, such measures for the other two notions are lacking. We attempt to rectify this issue by designing appropriate measures, providing means of their (approximate) computation, and arguing that they, indeed, capture diversity and polarization well. In particular, we present "maps of preference orders" that highlight relations between the votes in a given election and which help in making arguments about their nature.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
