Fudenberg无名氏定理与平新乔先生的误读

Fudenberg "folk theorem" and Ping Xin-qiao's mistakes

文献[1]中平新乔先生陈述了一个十分特殊的无名氏定理.按平先生的说法,该定理的思想显而易见,因而没有给出证明,但文献[1]中的定理陈述却存在大量值得商榷的说法.通过讨论平新乔给出的这个定理,得出如下结论:(1)该定理陈述存在概念误用与逻辑不协调;(2)其限制条件模糊或冗余,对结论无实质性限定;(3)结论内容即便不是完全错误,也是无意义的.为澄清文献[1]中的混乱,对与之相关的Fudenberg无名氏定理的条件及结论给予了直观和简明的阐释.

There was an extremely special ＂folk theorem＂ in [1] which was stated by Xinqiao Ping.According to the view of Xinqiao Ping,the thought of this theorem was commonplace,so the proof was not given.However,the statement of the theorem actually has massive views which were worth discussing deeply in the [1].Some conclusions were given by this article：（1）There exists misusage of the conception and inconsistent logic in the statement of the theorem.（2）Restrictive condition was misleading and redundancy,not necessary restriction to the conclusion.（3）The conclusion was also meaningless even if it was not absolutely wrong.To clarify the confusion in literature[1],the referring conditions and conclusion of the Fudenberg ＂ folk theorem＂ was clearly and directly explained.