Skip navigation
Skip navigation

Continuous-time opinion dynamics on multiple interdependent topics

Ye, Mengbin; Trinh, Minh Hoang; Lim, Young-Hun; Anderson, Brian; Ahn, Hyo-Sung

Description

In this paper, and inspired by the recent discrete-time model in Parsegov et al. (2017) and Friedkin et al. (2016), we study two continuous-time opinion dynamics models (Model 1 and Model 2) where the individuals discuss opinions on multiple logically interdependent topics. The logical interdependence between the different topics is captured by a "logic" matrix, which is distinct from the Laplacian matrix capturing interactions between individuals. For each of Model 1 and Model 2, we obtain a...[Show more]

dc.contributor.authorYe, Mengbin
dc.contributor.authorTrinh, Minh Hoang
dc.contributor.authorLim, Young-Hun
dc.contributor.authorAnderson, Brian
dc.contributor.authorAhn, Hyo-Sung
dc.date.accessioned2021-03-12T00:23:17Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/227132
dc.description.abstractIn this paper, and inspired by the recent discrete-time model in Parsegov et al. (2017) and Friedkin et al. (2016), we study two continuous-time opinion dynamics models (Model 1 and Model 2) where the individuals discuss opinions on multiple logically interdependent topics. The logical interdependence between the different topics is captured by a "logic" matrix, which is distinct from the Laplacian matrix capturing interactions between individuals. For each of Model 1 and Model 2, we obtain a necessary and sufficient condition for the network to reach to a consensus on each separate topic. The condition on Model 1 involves a combination of the eigenvalues of the logic matrix and Laplacian matrix, whereas the condition on Model 2 requires only separate conditions on the logic matrix and Laplacian matrix. Further investigation of Model 1 yields two sufficient conditions for consensus, and allows us to conclude that one way to guarantee a consensus is to reduce the rate of interaction between individuals exchanging opinions. By placing further restrictions on the logic matrix, we also establish a set of Laplacian matrices which guarantee consensus for Model 1. The two models are also expanded to include stubborn individuals, who remain attached to their initial opinions. Sufficient conditions are obtained for guaranteeing convergence of the opinion dynamics system, with the final opinions generally being at a persistent disagreement. Simulations are provided to illustrate the results.
dc.description.sponsorshipM. Ye and B.D.O. Anderson are supported by the Australian Research Council (ARC) under grants DP-160104500 and DP-190100887. B.D.O. Anderson is also supported by Data61-CSIRO, Australia. M.H. Trinh and H.-S. Ahn were supported by the National Research Foundation (NRF) of Korea under the grant NRF-2017R1A2B3007034.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherElsevier
dc.rights© 2020 Elsevier Ltd
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceAutomatica
dc.subjectInfluence networks
dc.subjectSocial networks
dc.subjectMulti-dimensional opinion dynamics
dc.subjectAgent-based model
dc.titleContinuous-time opinion dynamics on multiple interdependent topics
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume115
dc.date.issued2020
local.identifier.absfor090602 - Control Systems, Robotics and Automation
local.identifier.ariespublicationu6269649xPUB455
local.publisher.urlhttps://www.elsevier.com/en-au
local.type.statusAccepted Version
local.contributor.affiliationYe, Mengbin, Curtin University
local.contributor.affiliationTrinh, Minh Hoang, Hanoi University of Science and Technology (HUST)
local.contributor.affiliationLim, Young-Hun, Gyeongnam National University of Science and Technology
local.contributor.affiliationAnderson, Brian, College of Engineering and Computer Science, ANU
local.contributor.affiliationAhn, Hyo-Sung, Gwangju Institute of Science and Technology
local.description.embargo2022-05-30
dc.relationhttp://purl.org/au-research/grants/arc/DP160104500
dc.relationhttp://purl.org/au-research/grants/arc/DP190100887
local.bibliographicCitation.startpage1
local.bibliographicCitation.lastpage10
local.identifier.doi10.1016/j.automatica.2020.108884
local.identifier.absseo970117 - Expanding Knowledge in Psychology and Cognitive Sciences
dc.date.updated2020-11-15T07:28:09Z
local.identifier.scopusID2-s2.0-85079522897
dcterms.accessRightsOpen Access
dc.provenancehttps://v2.sherpa.ac.uk/id/publication/4278..."The Accepted Version can be archived in an Institutional Repository. 24 Months. CC BY-NC-ND." from SHERPA/RoMEO site (as at 21/04/2021).
dc.rights.licenseCC BY-NC-ND
CollectionsANU Research Publications

Download

File Description SizeFormat Image
AN1254_BY020_CT_OpDyn_Accepted.pdf838.53 kBAdobe PDF    Request a copy


This item is licensed under a Creative Commons License Creative Commons

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator