从两两选举数据中减少孔多塞周期的影响

Sunanda Roy, Abhijit Chandra
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引用次数: 0

摘要

投票理论的最新发展表明,嵌入在选民中的孔多塞概况是导致给定集合中任何一对候选人的成对选举统计失真的原因。这种扭曲是各种两两投票方式之间发生冲突和排名逆转的唯一原因,当候选人从集合中删除或添加时。由于候选人在这些档案中的排名具有很强的对称性,因此可以认为孔多塞档案代表了候选人之间的完整联系。因此,从成对得分中去除它们的影响应该无关紧要,而且由于它们引起的扭曲,这是合理的。本文讨论了一种从成对选举数据中去除或减少孔多塞曲线影响的方法。
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On reducing the influence of Condorcet cycles from pairwise election data
Recent developments in voting theory show that Condorcet profiles embedded in electorates are responsible for distortions in pairwise election tallies of any pair of candidates from a given set. Such distortions are the sole cause of conflicts between the various pairwise voting methods and of reversals of rankings, when candidates are dropped from or added to the set. Because of the strong symmetry of the rankings of the candidates within these profiles, it can be argued that Condorcet profiles represent complete ties between the candidates. Hence removing their influence from the pairwise scores should not matter and moreover is justified because of the distortions they induce. The paper discusses a method of removing or reducing the influence of Condorcet profiles from pairwise elections data.
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