Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/227637 
Year of Publication: 
2020
Series/Report no.: 
Working Paper No. 2020-04
Publisher: 
Bar-Ilan University, Department of Economics, Ramat-Gan
Abstract: 
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.
Subjects: 
Bayesian updating
group actions
descriptive set theory
repeated games
Document Type: 
Working Paper

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