Inferring beliefs from actions

Itai Arieli; Manuel Mueller-Frank

doi:10.1016/j.geb.2017.01.014

Inferring beliefs from actions

Itai Arieli, Manuel Mueller-Frank

Data and Decision Sciences

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We address the question to which degree the private information of a decision maker is revealed through his optimal action, in an environment with compact metrizable state and action space. We show that the decision maker's optimal action reveals his posterior distribution for a generic set of continuous utility functions if and only if the set of actions contains no isolated points.

Original language	English
Pages (from-to)	455-461
Number of pages	7
Journal	Games and Economic Behavior
Volume	102
DOIs	https://doi.org/10.1016/j.geb.2017.01.014
State	Published - 1 Mar 2017

Keywords

Belief revelation
Information aggregation
Learning
Scoring rules

All Science Journal Classification (ASJC) codes

Finance
Economics and Econometrics

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10.1016/j.geb.2017.01.014

Cite this

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title = "Inferring beliefs from actions",

abstract = "We address the question to which degree the private information of a decision maker is revealed through his optimal action, in an environment with compact metrizable state and action space. We show that the decision maker's optimal action reveals his posterior distribution for a generic set of continuous utility functions if and only if the set of actions contains no isolated points.",

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author = "Itai Arieli and Manuel Mueller-Frank",

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AB - We address the question to which degree the private information of a decision maker is revealed through his optimal action, in an environment with compact metrizable state and action space. We show that the decision maker's optimal action reveals his posterior distribution for a generic set of continuous utility functions if and only if the set of actions contains no isolated points.

KW - Belief revelation

KW - Information aggregation

KW - Learning

KW - Scoring rules

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DO - 10.1016/j.geb.2017.01.014

M3 - مقالة

SN - 0899-8256

VL - 102

SP - 455

EP - 461

JO - Games and Economic Behavior

JF - Games and Economic Behavior

ER -

Inferring beliefs from actions

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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