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Review of Economic Studies Vol. 88 No. 5 2021

Informational Herding, Optimal Experimentation, and Contrarianism

Lones Smith1; Peter Norman Sørensen2; Jianrong Tian3

1 University of Wisconsin · 2 University of Copenhagen · 3 University of Hong Kong

open access

Abstract

In the standard herding model, privately informed individuals sequentially see prior actions and then act. An identical action herd eventually starts and public beliefs tend to “cascade sets” where social learning stops. What behaviour is socially efficient when actions ignore informational externalities? We characterize the outcome that maximizes the discounted sum of utilities. Our four key findings are: (1) cascade sets shrink but do not vanish, and herding should occur but less readily as greater weight is attached to posterity. (2) An optimal mechanism rewards individuals mimicked by their successor. (3) Cascades cannot start after period one under a signal log-concavity condition. (4) Given this condition, efficient behaviour is contrarian, leaning against the myopically more popular actions in every period. We make two technical contributions: as value functions with learning are not smooth, we use monotone comparative statics under uncertainty to deduce optimal dynamic behaviour. We also adapt dynamic pivot mechanisms to Bayesian learning.

DOI
10.1093/restud/rdab001
Volume
88
Issue
5
Pages
2527-2554
Language
en
Sources
bibtex:phds-export.bib crossref openalex

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