Dense Orbits of the Bayesian Updating Group Action

Ziv Hellman () and Yehuda Levy
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Ziv Hellman: Department of Economics, Bar-Ilan University, Ramat Gan 5290002, Israel

Mathematics of Operations Research, 2022, vol. 47, issue 1, 384-396

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.

Keywords: Primary: 37B20; 91A26; Bayesian updating; group actions; descriptive set theory; repeated games (search for similar items in EconPapers)
Date: 2022
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http://dx.doi.org/10.1287/moor.2021.1134 (application/pdf)

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Working Paper: Dense Orbits of the Bayesian Updating Group Action (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormoor:v:47:y:2022:i:1:p:384-396

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