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Dense Orbits of the Bayesian Updating Group Action

Author

Listed:
  • Ziv Hellman

    (Department of Economics, Bar-Ilan University, Ramat Gan 5290002, Israel)

  • Yehuda John Levy

    (Adam Smith Business School, University of Glasgow, Glasgow G12 8QQ, United Kingdom)

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.

Suggested Citation

  • Ziv Hellman & Yehuda John Levy, 2022. "Dense Orbits of the Bayesian Updating Group Action," Mathematics of Operations Research, INFORMS, vol. 47(1), pages 384-396, February.
    • Handle: RePEc:inm:ormoor:v:47:y:2022:i:1:p:384-396
    DOI: 10.1287/moor.2021.1134
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