Dense Orbits of the Bayesian Updating Group Action
研究了贝叶斯更新在单纯形上诱导的群作用的动态性质，证明在一般条件下轨道在单纯形中稠密，并讨论了与描述集合论的联系及其在不完全信息重复博弈中的应用。
We study dynamic properties of the group action on the simplex that is induced by Bayesian updating. We show that, generically, the orbits are dense in the simplex, although one must make use of the entire group, hence departing from straightforward Bayesian updating. We demonstrate also the necessity of the genericity of the signalling structure, a relationship to descriptive set theoretical concepts, and applications thereof to repeated games of incomplete information, as well a strengthening concerning the group action on itself.