Blondel, Vincent
[UCL]
Hendrickx, Julien
[UCL]
Tsitsiklis, John
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.
Bibliographic reference |
Blondel, Vincent ; Hendrickx, Julien ; Tsitsiklis, John. On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity. In: IEEE Transactions on Automatic Control, Vol. 54, no. 11, p. 2586-2597 (2009) |
Permanent URL |
http://hdl.handle.net/2078.1/35185 |