Inertial Updating with General Information

Fuente: arXiv
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Auteurs principaux: Dominiak, Adam, Kovach, Matthew, Tserenjigmid, Gerelt
Format: Preprint
Publié: 2025
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author Dominiak, Adam
Kovach, Matthew
Tserenjigmid, Gerelt
author_facet Dominiak, Adam
Kovach, Matthew
Tserenjigmid, Gerelt
contents We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B), interval information (A has a ten-to-twenty percent chance), and more. We behaviorally characterize Inertial Updating: the decision maker's posterior is of minimal subjective distance from her prior, given the information constraint. Further, we introduce and characterize a notion of Bayesian updating for general information and show that Bayesian agents may disagree. We also behaviorally characterize f-divergences, the class of distances consistent with Bayesian updating.
format Preprint
id arxiv_https___arxiv_org_abs_2502_00958
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Inertial Updating with General Information
Dominiak, Adam
Kovach, Matthew
Tserenjigmid, Gerelt
Theoretical Economics
We study belief revision when information is represented by a set of probability distributions, or general information. General information extends the standard event notion while including qualitative information (A is more likely than B), interval information (A has a ten-to-twenty percent chance), and more. We behaviorally characterize Inertial Updating: the decision maker's posterior is of minimal subjective distance from her prior, given the information constraint. Further, we introduce and characterize a notion of Bayesian updating for general information and show that Bayesian agents may disagree. We also behaviorally characterize f-divergences, the class of distances consistent with Bayesian updating.
title Inertial Updating with General Information
topic Theoretical Economics
url https://arxiv.org/abs/2502.00958