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Characterizations of approval ranking
Mathematical Social Sciences ( IF 0.6 ) Pub Date : 2024-01-11 , DOI: 10.1016/j.mathsocsci.2024.01.001
Hiroyuki Komatsu

In this paper, we consider those voting situations in which each voter decides whether he or she approves each candidate. Given a list of such approvals, a “social preference function” picks a ranking of the candidates. We are interested in finding out which social preference functions are non-manipulable. We show that a particular social preference function, referred to as approval ranking, is more decisive than any other social preference functions satisfying completeness, neutrality, anonymity, and non-manipulability. In addition, we show that approval ranking is axiomatized by these four axioms and tie-breakability.



中文翻译:

认可度排名的特征

在本文中,我们考虑每个选民决定是否批准每个候选人的投票情况。给定此类批准的列表,“社会偏好函数”就会选择候选人的排名。我们有兴趣找出哪些社会偏好函数是不可操纵的。我们证明,一种特定的社会偏好函数(称为支持排名)比任何其他满足完整性中立性匿名性不可操纵性的社会偏好函数更具决定性。此外,我们表明支持排名是由这四个公理和平局打破性公理化的。

更新日期:2024-01-11
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