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Econometrica Vol. 92 No. 4 2024

Beyond Unbounded Beliefs: How Preferences and Information Interplay in Social Learning

Navin Kartik1; Sang Mok Lee2; Tianhao Liu1; Daniel Rappoport3

1 Department of Economics, Columbia University , · 2 Department of Economics, Washington University in St. Louis · 3 Booth School of Business, University of Chicago

Abstract

When does society eventually learn the truth, or take the correct action, via observational learning? In a general model of sequential learning over social networks, we identify a simple condition for learning dubbed excludability . Excludability is a joint property of agents' preferences and their information. We develop two classes of preferences and information that jointly satisfy excludability: (i) for a one‐dimensional state, preferences with single‐crossing differences and a new informational condition, directionally unbounded beliefs; and (ii) for a multi‐dimensional state, intermediate preferences and subexponential location‐shift information. These applications exemplify that with multiple states, “unbounded beliefs” is not only unnecessary for learning, but incompatible with familiar informational structures like normal information. Unbounded beliefs demands that a single agent can identify the correct action. Excludability, on the other hand, only requires that a single agent must be able to displace any wrong action, even if she cannot take the correct action.

DOI
10.3982/ecta21470
Volume
92
Issue
4
Pages
1033-1062
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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