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Contribution Details

Type Journal Article
Scope Discipline-based scholarship
Title An axiomatic characterization of Bayesian updating
Organization Unit
Authors
  • Carlos Alos-Ferrer
  • Maximilian Mihm
Item Subtype Original Work
Refereed Yes
Status Published in final form
Language
  • English
Journal Title Journal of Mathematical Economics
Publisher Elsevier
Geographical Reach international
ISSN 0304-4068
Volume 104
Page Range 102799
Date 2023
Abstract Text We provide an axiomatic characterization of Bayesian updating, viewed as a mapping from prior beliefs and new information to posteriors, which is disentangled from any reference to preferences. Bayesian updating is characterized by Non-Innovativeness (events considered impossible in the prior remain impossible in the posterior), Dropping (events contradicted by new evidence are considered impossible in the posterior), and Proportionality (for other events, the posterior simply rescales the prior’s probabilities proportionally). The result clarifies the differences between the normative Bayesian benchmark, alternative models, and actual human behavior.
Digital Object Identifier 10.1016/j.jmateco.2022.102799
Other Identification Number merlin-id:23257
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Keywords Applied mathematics, economics and econometrics, belief updating, Bayesian learning