Title
Convergence rate of the asymmetric Deffuant-Weisbuch dynamics.
Abstract
This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents. In this model, agent i’s opinion is updated ateach time, by first selecting one randomly from n agents, and then combining the selected agent j’s opinion if the distance between j’s opinion and i’s opinion is not larger than the confidence radius ɛ0. This yields the endogenously changing inter-agent topologies. Based on the previous result that all agents opinions will converge almost surely for any initial states, the authors prove that the expected potential function of the convergence rate is upper bounded by a negative exponential function of time t when opinions reach consensus finally and is upper bounded by a negative power function of time t when opinions converge to several different limits.
Year
DOI
Venue
2015
10.1007/s11424-015-3240-z
J. Systems Science & Complexity
Keywords
Field
DocType
Convergence rate, Deffuant-Weisbuch model, multi-agent systems, opinion dynamics
Power function,Mathematical optimization,Mathematical economics,Exponential function,Control theory,Network topology,Multi-agent system,Rate of convergence,Almost surely,Opinion dynamics,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
28
4
1559-7067
Citations 
PageRank 
References 
3
0.43
11
Authors
2
Name
Order
Citations
PageRank
Jiangbo Zhang1205.36
Ge Chen2227.36