论文标题
涉及周期和$ \ hat {o} \ mbox { - } \ hat {i} $ framework时，社交偏好传播条件
Conditions for Social Preference Transitivity When Cycle Involved and A $\hat{O}\mbox{-}\hat{I}$ Framework
论文作者
论文摘要
当个人偏好包括周期时，我们在多数规则下提出了社会偏好传播的一些条件。首先，我们关注的是，除了偏爱构成周期的个人（称为周期成员）以外的个人的偏好顺序限制，但所考虑的传递性当然是整个社会的。在我们的讨论中，假定个人偏好，并将周期成员的偏好视为严格的顺序。特别是，对于一个循环涉及一个周期并且社会足够大的替代三倍（社会中至少有5个人），我们为社会传播提供了足够的条件；当涉及两个拮抗周期并且社会至少有9个人时，提出了必要的和足够的条件，这些条件仅限于除周期成员以外的那些个人的偏好。基于Slutsky（1977）和Gaertner \＆Heinecke（1978）的工作，然后我们概述了以公理方式的概念性$ \ hat {o} \ mbox { - } \ hat {i} $社会传播框架。研究了一些已经确定的条件与$ \ hat {o} \ mbox { - } \ hat {i} $框架的连接。
We present some conditions for social preference transitivity under the majority rule when the individual preferences include cycles. First, our concern is with the restriction on the preference orderings of individuals except those (called cycle members) whose preferences constitute the cycles, but the considered transitivity is, of course, of the society as a whole. In our discussion, the individual preferences are assumed concerned and the cycle members' preferences are assumed as strict orderings. Particularly, for an alternative triple when one cycle is involved and the society is sufficient large (at least 5 individuals in the society), we present a sufficient condition for social transitivity; when two antagonistic cycles are involved and the society has at least 9 individuals, necessary and sufficient conditions are presented which are merely restricted on the preferences of those individuals except the cycle members. Based on the work due to Slutsky (1977) and Gaertner \& Heinecke (1978), we then outline a conceptual $\hat{O}\mbox{-}\hat{I}$ framework of social transitivity in an axiomatic manner. Connections between some already identified conditions and the $\hat{O}\mbox{-}\hat{I}$ framework is examined.
