Title :
Convergence analysis of asymmetric homogeneous Deffuant-Weisbuch model
Author :
Zhang, Jiangbo ; Chen, Ge ; Hong, Yiguang
Author_Institution :
Fac. of Key Lab. of Syst. & Control, Acad. of Math. & Syst. Sci., Beijing, China
Abstract :
In this paper, we consider the convergence property of asymmetric homogeneous Deffuant-Weisbuch (DW) model, which is described by discrete-time equations driven by endogenously changing topologies. We focus on the dynamics analysis for this model when the agent selection probability is distributed independently and uniformly on the set of all agents. Although the opinions updated by a local rule are time-varying, we prove that all the opinions of the agents will convergent almost surely for any initial states, which verifies the aggregation characteristics of the asymmetric stochastic opinion dynamics models.
Keywords :
cognition; convergence; discrete time systems; multi-agent systems; probability; stochastic processes; agent selection probability; asymmetric stochastic opinion dynamic model; convergence analysis; discrete-time equation; dynamics analysis; homogeneous Deffuant-Weisbuch model; Analytical models; Biological system modeling; Convergence; Mathematical model; Protocols; Random variables; Trajectory; aggregation; convergence; multi-agent systems; opinion dynamics; separability;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244384