Dense Orbits of the Bayesian Updating Group Action

Ziv Hellman, Yehuda John Levy

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)384-396
Number of pages13
JournalMathematics of Operations Research
Volume47
Issue number1
DOIs
StatePublished - Feb 2022

Bibliographical note

Publisher Copyright:
© 2021 INFORMS.

Keywords

  • Bayesian updating
  • Descriptive set theory
  • Group actions
  • Repeated games

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