基于配对市场的选择函数及其偏好结构研究

Study on choice function and its preference structure based on a matching market

基于配对市场,研究了路径无关性选择函数应满足的性质、条件和代理人的偏好结构.首先证明了在替代性原理的前提下,选择函数定额充分是满足一致性原理的充分条件;得出了当选择函数满足替代性和定额充分条件时,必定满足路径无关性选择的结论.其次,通过路径无关性选择函数定义了一个展示偏好二元关系,证明了此展示偏好正好具有偏序特征,并得到了一些进一步的性质.所得结论有利于分析代理人对被选球队的偏好结构及球队的组合问题.

The relative properties, conditions of choice functions and the preference structure of agents are studied based on a matching market, it is proved that the choice function must satisfy the axiom of consistency if the choice function meets the axiom of substitutability together with quotafilling condition;then, it is driven that the choice function is a path independence choice when it satisfies the substitutability and consistency condition. A revealed preference binary relation is defined based on the path independence choice function, and the revealed preference relation happens to be a partial order, some further conclusions are driven based on this property, and the relative proof is given. The conclusions are utilized to analyze the preference structure of the agent about the elect teams and the untie problem of teams and unite teams.