dc.contributor.author | Blondel, Vincent D. | |
dc.contributor.author | Hendrickx, Julien | |
dc.contributor.author | Tsitsiklis, John N. | |
dc.date.accessioned | 2011-07-08T17:43:44Z | |
dc.date.available | 2011-07-08T17:43:44Z | |
dc.date.issued | 2010-10 | |
dc.date.submitted | 2009-07 | |
dc.identifier.issn | 0363-0129 | |
dc.identifier.issn | 1095-7138 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/64777 | |
dc.description.abstract | We study a simple continuous-time multiagent system related to Krause's model of opinion dynamics: each agent holds a real value, and this value is continuously attracted by every other value differing from it by less than 1, with an intensity proportional to the difference. We prove convergence to a set of clusters, with the agents in each cluster sharing a common value, and provide a lower bound on the distance between clusters at a stable equilibrium, under a suitable notion of multiagent system stability. To better understand the behavior of the system for a large number of agents, we introduce a variant involving a continuum of agents. We prove, under some conditions, the existence of a solution to the system dynamics, convergence to clusters, and a nontrivial lower bound on the distance between clusters. Finally, we establish that the continuum model accurately represents the asymptotic behavior of a system with a finite but large number of agents. | en_US |
dc.description.sponsorship | National Science Foundation (U.S.) (Grant ECCS-0701623) | en_US |
dc.language.iso | en_US | |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1137/090766188 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | SIAM | en_US |
dc.title | CONTINUOUS-TIME AVERAGE-PRESERVING OPINION DYNAMICS WITH OPINION-DEPENDENT COMMUNICATIONS | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Blondel, Vincent D., Julien M. Hendrickx, and John N. Tsitsiklis. “Continuous-Time Average-Preserving Opinion Dynamics with Opinion-Dependent Communications.” SIAM Journal on Control and Optimization 48.8 (2010) : 5214. © 2010 Society for Industrial and Applied Mathematics | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Laboratory for Information and Decision Systems | en_US |
dc.contributor.approver | Tsitsiklis, John N. | |
dc.contributor.mitauthor | Tsitsiklis, John N. | |
dc.relation.journal | SIAM Journal on Control and Optimization | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Blondel, Vincent D.; Hendrickx, Julien M.; Tsitsiklis, John N. | en |
dc.identifier.orcid | https://orcid.org/0000-0003-2658-8239 | |
mit.license | PUBLISHER_POLICY | en_US |
mit.metadata.status | Complete | |