DocumentCode :
2578719
Title :
Opinion dynamics for agents with opinion-dependent connections
Author :
Blondel, Vincent D. ; Hendrickx, Julien M. ; Tsitsiklis, John N.
Author_Institution :
Dept. of Math. Eng., Univ. catholique de Louvain, Louvain-la-Neuve, Belgium
fYear :
2010
fDate :
15-17 Dec. 2010
Firstpage :
6626
Lastpage :
6632
Abstract :
We study a simple continuous-time multi-agent 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 multi-agent 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 show, under some conditions, the existence of a solution to the system dynamics, convergence to clusters, and a non-trivial 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.
Keywords :
continuous time systems; multi-agent systems; stability; Krause model; continuous-time multiagent system stability; continuum model; opinion dynamics; opinion-dependent connections; system dynamics; Analytical models; Convergence; Integral equations; Mathematical model; Multiagent systems; Stability analysis; Topology;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
ISSN :
0743-1546
Print_ISBN :
978-1-4244-7745-6
Type :
conf
DOI :
10.1109/CDC.2010.5717828
Filename :
5717828
Link To Document :
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