Voting Rules that are Unbiased but not Transitive-Symmetric
Voting Rules that are Unbiased but not Transitive-Symmetric
复制标题
无偏但不传递对称的投票规则
DOI：
10.37236/8795
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Aadyot Bhatnagar
中科院分区：
文献类型：
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作者：
Aadyot Bhatnagar
我们探索投票规则的两个自然对称属性之间的关系。第一个是传递对称性——传递排列群的不变性属性——而第二个是每个选民对所有独立同分布具有相同影响力的“无偏”属性。概率测度。我们证明，这些属性通过两种规则构造（一种是概率性的，一种是显式的）来区分，这些规则是无偏的但不是传递对称的。
We explore the relation between two natural symmetry properties of voting rules. The first is transitive-symmetry – the property of invariance to a transitive permutation group – while the second is the "unbiased" property of every voter having the same influence for all i.i.d. probability measures. We show that these properties are distinct by two constructions – one probabilistic, one explicit – of rules that are unbiased but not transitive-symmetric.