On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
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Blondel-et_al-On_Krause's-extended.pdf
Description
long version
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1.39 MB
Format
Adobe PDF
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Author(s)
Blondel, Vincent D.
Hendrickx, Julien
Tsitsiklis, John N.
Date Issued
November 2009
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers
Citation
On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
Blondel, V.D.; Hendrickx, J.M.; Tsitsiklis, J.N.;
Automatic Control, IEEE Transactions on
Volume 54, Issue 11, Nov. 2009 Page(s):2586 - 2597
Version
Author's final manuscript
Abstract
We study a model of opinion dynamics introduced by Krause: each agent has an opinion represented by a real number, and updates its opinion by averaging all agent opinions that differ from its own by less than one. We give a new proof of convergence into clusters of agents, with all agents in the same cluster holding the same opinion. We then introduce a particular notion of equilibrium stability and provide lower bounds on the inter-cluster distances at a stable equilibrium. To better understand the behavior of the system when the number of agents is large, we also introduce and study a variant involving a continuum of agents, obtaining partial convergence results and lower bounds on inter-cluster distances, under some mild assumptions.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
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Attribution-Noncommercial-Share Alike 3.0 Unported
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DOI of Published Version
http://dx.doi.org/10.1109/TAC.2009.2031211
