社会选择函数集结中的对影判别和性质

The judgment and characteristic of the back projection of social choice function aggregation

考虑社会选择函数集结中的对影判别和性质。通过严格形式化刻画,给出了弱序偏好的强序化,强序化为分影偏好,给出了分影偏好定义,分析了其基本性质,并考虑广为关注的孔多塞循环,联系孔多塞循环和轮换,给出了一般意义上的分影的判别。论文形成了一个由定义、性质和判别诸定理组成的完整的框架,并具有框架的可拓展性。

This paper considers the judgment and characteristic of the back projection of social choice function aggregation.Through a rigorous formal characterization,the strong ordering of the weak order preference is given,and the strong ordering is turned into the split preference.Also,the definition of the split preference is given,with its basic properties being analyzed.Furthermore,the Condorcet cycle,which is widely concerned,is considered.In connection with Condorcet’s cycle and rotation,the judgment of the division of shadows in the general sense is given.The paper builds a complete framework composed of definitions,properties and discriminant theorems,and has the scalability of the framework.