当前位置:
X-MOL 学术
›
Rev. Econ. Des.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
The Borda rule and the pairwise-majority-loser revisited
Review of Economic Design ( IF 0.238 ) Pub Date : 2019-04-11 , DOI: 10.1007/s10058-019-00221-3 Noriaki Okamoto , Toyotaka Sakai
Review of Economic Design ( IF 0.238 ) Pub Date : 2019-04-11 , DOI: 10.1007/s10058-019-00221-3 Noriaki Okamoto , Toyotaka Sakai
Jean-Charles de Borda introduced the Borda rule with the motivation of avoiding the so-called pairwise-majority-loser. We revisit this topic by examining the uniqueness of the Borda rule as a scoring rule that is consistent with the pairwise-majority-loser criterion. We first show that this uniqueness does not hold for any fixed population. In fact, when there are three alternatives and six voters, all scoring rules are consistent with the pairwise-majority-loser criterion. We then show that for each non-Borda scoring rule, there exists a population n such that the rule is not consistent with this criterion for all populations of size larger than n.
中文翻译:
重新审视博尔达规则和成对多数败者
让·查尔斯·德·博达(Jean-Charles de Borda)引入博达规则是为了避免所谓的成对多数败者。我们通过检查Borda规则的唯一性作为与成对多数失败者标准一致的得分规则来重新审视此主题。我们首先表明,这种唯一性不适用于任何固定人口。实际上,当有三个备选方案和六个投票者时,所有计分规则都与成对多数败者标准一致。然后,我们表明,对于每个非Borda评分规则,都存在一个总体n,使得对于大于n的所有总体而言,该规则与该标准不一致。
更新日期:2019-04-11
中文翻译:
重新审视博尔达规则和成对多数败者
让·查尔斯·德·博达(Jean-Charles de Borda)引入博达规则是为了避免所谓的成对多数败者。我们通过检查Borda规则的唯一性作为与成对多数失败者标准一致的得分规则来重新审视此主题。我们首先表明,这种唯一性不适用于任何固定人口。实际上,当有三个备选方案和六个投票者时,所有计分规则都与成对多数败者标准一致。然后,我们表明,对于每个非Borda评分规则,都存在一个总体n,使得对于大于n的所有总体而言,该规则与该标准不一致。