Learning under social influence

Alireza Tahbaz-Salehi*, Alvaro Sandroni, Ali Jadbabaie

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

In this paper, we study a model of social learning where individuals are under influence of others in their social clique. In our model, each agent receives private noisy signals about an unobservable, underlying state of the world. At the end of each time period, the belief of an individual is equal to the convex combination of her posterior beliefs derived from the signal observed, and the priors of her neighbors. Our model reduces to the well-known consensus model when private signals are non-informative. We show that if the network of social influences is strongly connected, then all agents will have asymptotically correct forecasts. In other words, all individuals will be able to asymptotically learn the true state of the world, as far as their observations are concerned. Finally, we show that all agents assign asymptotically equal beliefs to the true state of the world.

Original languageEnglish (US)
Title of host publicationProceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
Pages1513-1519
Number of pages7
DOIs
StatePublished - Dec 1 2009
Event48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 - Shanghai, China
Duration: Dec 15 2009Dec 18 2009

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009
CountryChina
CityShanghai
Period12/15/0912/18/09

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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