On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity

Blondel, Vincent;Hendrickx, Julien;Tsitsiklis, John
(2009) IEEE Transactions on Automatic Control — Vol. 54, n° 11, p. 2586-2597 (2009)

Files

0807.pdf
  • Open Access
  • Adobe PDF
  • 1.39 MB
Download

Details

Authors
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.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Blondel, V., Hendrickx, J., & Tsitsiklis, J. (2009). On Krause’s Multi-Agent Consensus Model With State-Dependent Connectivity. IEEE Transactions on Automatic Control, 54(11), 2586-2597. https://doi.org/10.1109/TAC.2009.2031211 (Original work published 2009)