摘要
研究Arrow不可能性定理的弱化问题,将独立不相关条件(IIA)弱化为独立相关决定条件,证明在非二元性选择函数环境下对IIA弱化后Arrow不可能性定理仍然成立,并将它推广到选择函数不具有连通性的群格序决策问题。所得结论表明导致IIA弱化后,不可能性定理仍然成立的根本原因不是选择函数的连通性。
The weakening question of Arrow's possibility theorem is studied in this paper, the condition of independent of (irrelevant) alternative(IIA) is weakened to independent relational decisiveness. It is proved that a non-binary impossibility (theorem) whose IIA is weakened is held, and the conclusion is popularized to group lattice order decisions without compara- (tive) condition. This show that Arrow's possibility theorem can be established without comparative condition after IIA's (weakening.)
出处
《系统工程》
CSCD
北大核心
2004年第7期1-3,共3页
Systems Engineering
基金
国家自然科学基金资助项目(70371026)
关键词
决策
不可能性定理
非二元性选择函数
格序
独立决定
Decision-making
Impossibility Theorem
Non-binary Choice Function
Lattice Order
Independent Decisiveness
