Dense Orbits of the Bayesian Updating Group Action
成果类型：
Article
署名作者：
Hellman, Ziv; Levy, Yehuda John
署名单位：
Bar Ilan University; University of Glasgow
刊物名称：
MATHEMATICS OF OPERATIONS RESEARCH
ISSN/ISSBN：
0364-765X
DOI：
10.1287/moor.2021.1134
发表日期：
2022
页码：
384-396
关键词：
摘要：
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.
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