Paper Info
Title
Continuous-Time Average-Preserving Opinion Dynamics with Opinion-Dependent Communications
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.
Year
DOI
Venue
2010
10.1137/090766188
SIAM J. Control and Optimization
Keywords
Field
DocType
opinion dynamic,stable equilibrium,asymptotic behavior,real value,multiagent system stability,continuum model,system dynamic,simple continuous-time multiagent system,opinion-dependent communications,large number,common value,continuous-time average-preserving opinion dynamics,system dynamics,multiagent systems,consensus,multi agent system,lower bound,dynamic system
Convergence (routing),Cluster (physics),Mathematical optimization,Upper and lower bounds,Continuum (design consultancy),Multi-agent system,Common value auction,System dynamics,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
48
8
0363-0129
Citations 
PageRank 
References 
55
2.75
7
Authors
3
Name
Order
Citations
PageRank
Vincent D. Blondel11880184.86
Julien M. Hendrickx277277.11
John N. Tsitsiklis35300621.34