The speed of sequential asymptotic learning

A-Tier
Journal: Journal of Economic Theory
Year: 2018
Volume: 173
Issue: C
Pages: 383-409

Authors (3)

Hann-Caruthers, Wade (not in RePEc) Martynov, Vadim V. (not in RePEc) Tamuz, Omer (California Institute of Techno...)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

In the classical herding literature, agents receive a private signal regarding a binary state of nature, and sequentially choose an action, after observing the actions of their predecessors. When the informativeness of private signals is unbounded, it is known that agents converge to the correct action and correct belief. We study how quickly convergence occurs, and show that it happens more slowly than it does when agents observe signals. However, we also show that the speed of learning from actions can be arbitrarily close to the speed of learning from signals. In particular, the expected time until the agents stop taking the wrong action can be either finite or infinite, depending on the private signal distribution. In the canonical case of Gaussian private signals we calculate the speed of convergence precisely, and show explicitly that, in this case, learning from actions is significantly slower than learning from signals.

Technical Details

RePEc Handle
repec:eee:jetheo:v:173:y:2018:i:c:p:383-409
Journal Field
Theory
Author Count
3
Added to Database
2026-01-29