摘要
研究了使过半数规则产生的群体（社会）序具有传递性的偏好断面规模及其极大化问题，分析了基本约束集、次级约束集和Ｆｉｓｈｂｕｒｎ约束的基本特性及其偏好断面规模；仿Ｆｉｓｈｂｕｒｎ约束的构造方式，构造了扩展Ｆｉｓｈｂｕｒｎ约束，利用该约束可以确定极大偏好断面规模的下界值．
The size of preference profile with transitivity, i.e. the maximum number of admissible preference orderings by which the transitive social ordering is constructed through simple majority voting (SMV) is studied. Emphasis is laid on the analysis of three kinds of constraints (i.e. the basic constrains set, the second ones and Fishburn ones) on the maximum size of preference profile. By analyzing the structure of Fishburn constraints, the method to determine the lower maximum value is proposed.
出处
《华中理工大学学报》
CSCD
北大核心
1998年第7期53-56,共4页
Journal of Huazhong University of Science and Technology
基金
国家自然科学基金
