On Krause's multi-agent consensus model with state-dependent connectivity (Extended version)
| dc.creator | Blondel, Vincent D. | |
| dc.creator | Hendrickx, Julien M. | |
| dc.creator | Tsitsiklis, John N. | |
| dc.date | 2008-07-13 | |
| dc.date | 2009-03-12 | |
| dc.date.accessioned | 2026-07-07T12:51:12Z | |
| dc.date.available | 2026-07-07T12:51:12Z | |
| dc.description | 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 1. 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. | |
| dc.description | 11 tex files, 13 eps files, 1 style file, 15 double columns pages | |
| dc.identifier | https://arxiv.org/abs/0807.2028 | |
| dc.identifier | http://arxiv.org/abs/0807.2028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222918 | |
| dc.subject | Multiagent Systems | |
| dc.title | On Krause's multi-agent consensus model with state-dependent connectivity (Extended version) | |
| dc.type | text |