Dense orbits of the Bayesian updating group action

Hellman, Z. and Levy, Y. J. (2022) Dense orbits of the Bayesian updating group action. Mathematics of Operations Research, 47(1), pp. 384-396. (doi: 10.1287/moor.2021.1134)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Levy, Dr John
Authors: Hellman, Z., and Levy, Y. J.
College/School:College of Social Sciences > Adam Smith Business School > Economics
Journal Name:Mathematics of Operations Research
Publisher:INFORMS
ISSN:0364-765X
ISSN (Online):1526-5471
Published Online:24 May 2021
Copyright Holders:Copyright © 2020 INFORMS
First Published:First published in Mathematics of Operations Research 47(1): 394-396
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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