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 |
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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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