引入偏好序夹角研究社会选择结果的一致性

Study on Consistency in Social Choice Result by Using Angle Between Preference Profiles

对于社会选择一致性的研究,传统的方法是将距离当作变量,若出现距离相等情况,便无法做出抉择。应引入距离以外的变量作为补充判断的工具。在总结前人对社会选择结果一致性研究成果的基础上,针对其存在问题,引入偏好夹角的概念。用偏好角度替代距离进行测度,弥补了传统方法的不足,并说明该思路的实用价值。

To study the social choice problem, traditional methods use distance as the variable to deal with preference. When the distance of different social choice results are equivalent, we can＇t determine which one to choose. The author suggests that angle between profiles of preferences should be used to judge consensus in social choice result. And an example is given to explain the procedure of the method.