Symmetric continuum opinion dynamics: Convergence, but sometimes only in distribution

Julien M. Hendrickx, Alex Olshevsky

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

Abstract

This paper investigates the asymptotic behavior of some common opinion dynamic models. We show that as long as interactions in a continuum of agents are symmetric, the distribution of the agents' opinions converges, but that there exist examples where the opinions themselves do not converge. This phenomenon is in sharp contrast with symmetric models on finite numbers of agents where convergence of opinions is always guaranteed. However, as long as every agent in the continuum interacts with those whose opinions are close to its own (a common assumption in opinion modeling), or that the interactions are uniquely determined by their opinions, the opinions of almost all agents will in fact converge.

Original languageEnglish (US)
Title of host publication2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1989-1994
Number of pages6
ISBN (Print)9781467357173
DOIs
StatePublished - 2013
Event52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
Duration: Dec 10 2013Dec 13 2013

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
Country/TerritoryItaly
CityFlorence
Period12/10/1312/13/13

ASJC Scopus subject areas

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

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