Multivalued social choice function of strategyproof is studied.

Theorem is one of the mecessary theorems in social choice theory,which demonstrates the social choice function of a definition under an extensive preference domain.

We analyze the three conditions that Hattori has given,and then establish a new social choice function with subordinate reations,which only satisfy the condition of unrestricted domain and not the conditions of existence of a dictator and independence of influence of irrelevant individual,so as to make the social choice functions with subordinate relations more complete.

From the evolutionary perspective technology progress strategy is characterized by diversity,consistency and social selection etc which lend a smack of evolution to its evolutionary process.

The mutual stipulation of man and nature is the prerequisite of the ecology-based outlook on the world and the mutual stipulation of natural selection and social selection is the realistic foundation of the ecology-based outlook on the world.

A Study on Social Choice Based on Voting;

The paper is a study of individual liberal rights in social choice.

The individual liberal right in social choice is studied.

Furthermore, by allowing the selection function to take values in an interval, the conception of random selection is generalized.

It explained how the selection function D divided the power consumption curves into .

An analysis of the correlation between the choice function and consistency condition;

The Characterization of Fuzzy Choice Functions Rationality and Quasi-transitive Rationality;

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