摘要
研究在社会选择理论中,将独立无关性条件弱化为独立决定条件时选择函数最小决定集的唯一存在性条件。首先介绍了一致性条件和理性化的概念,然后在不要求满足内部一致性或选择函数合理性时,给出选择函数存在唯一最小决定集的条件,并将这一结论推广到非二元性选择函数的一般情形,最后给出了证明。
The unique existence condition for minimal determining set of social choice function is studied, when independent irrelevant condition is replaced by independent decisiveness condition. Notions about consistency and rational of choice is (introduced) at first, then the unique existence condition of minimal determining set is gained when choice function without (consistency) and rational, and the conclusion is generalized to non-binary choice function, at last a proof is given.
出处
《系统工程》
CSCD
北大核心
2005年第2期6-8,共3页
Systems Engineering
基金
国家自然科学基金资助项目(70371026)
关键词
选择函数
非二元性
一致性
理性化
最小决定集
Choice Function
Non-binary
Consistency
Rational
Minimal Determining Set
