论文标题
对杨网络对Borda规则的表征的概括
A generalization to networks of Young's characterization of the Borda rule
论文作者
论文摘要
我们证明，对于满足适当条件的任何给定的网络，Net-Oudegree网络解决方案，Net-indegree网络解决方案和总网络解决方案是该集合满足中性，一致性和取消的唯一网络解决方案。获得的结果的普遍性允许对社会选择对应关系获得类似的结果：对于满足适当条件的任何给定的偏好概况，纽约的社交选择对应关系，净难过的社交选择对应关系和总社会选择对应关系是该集合满足中性，一致性和消除的独特社会选择对应关系。利用一个值得注意的事实，即几个知名的投票规则与适当的偏好概况的限制相吻合，我们能够推断出对波尔达规则的各种新的和已知的特征定理，部分博尔达规则，平均Borda规则，批准的投票规则，远处的规则，年轻的规则，以及远程规则的规定批准投票的表征。
We prove that, for any given set of networks satisfying suitable conditions, the net-oudegree network solution, the net-indegree network solution, and the total network solution are the unique network solutions on that set satisfying neutrality, consistency and cancellation. The generality of the result obtained allows to get an analogous result for social choice correspondences: for any given set of preference profiles satisfying suitable conditions, the net-oudegree social choice correspondence, the net-indegree social choice correspondence and the total social choice correspondence are the unique social choice correspondences on that set satisfying neutrality, consistency and cancellation. Using the notable fact that several well-known voting rules coincide with the restriction of net-oudegree social choice correspondence to appropriate sets of preference profiles, we are able to deduce a variety of new and known characterization theorems for the Borda rule, the Partial Borda rule, the Averaged Borda rule, the Approval Voting, the Plurality rule and the anti-Plurality rule, among which Young's characterization of the Borda rule and Fishburn's characterization of the Approval Voting.
