集值偏好的信息约束下公共元的通有稳定性

The Generic Stability of Common Element under Information Constraint of Set-Valued Preference

为采用集值映射方法刻画偏好,该文提出集族公共元,并研究集族公共元在信息约束机制下的一些稳定性结果,提出了信息机制上的同等连续性,获得了集值偏好的信息约束下公共元的通有稳定性结论.该研究具有重要意义,特别是当不完全信息扩展式博弈等价地一般化且策略链更为复杂时,信息约束下公共元能初步处理其中的信息机制问题.

In order to use the set-valued mapping method to describe preferences,the set-family common element is proposed,and some stability results of the set-family common element under the information constraint mechanism are studied.The equal continuity in the information mechanism is proposed,and generic stability conclusion of the common element under the set-valued preference information constraint is obtained.This research is of great significance,especially when the incomplete information expansion game is equivalently generalized,the strategy chain is more complicated,and the common element of a set family can initially deal with the information mechanism problem under the information constraint.