Convergence analysis for asymmetric Deffuant-Weisbuch model

Convergence rate of the asymmetric Deffuant-Weisbuch dynamics

“…To illustrate the transient behavior during the opinion convergence process, we give the following definition proposed in [10]. (1), the separation time T * (ω) is a mapping T * (ω) :…”

“…We first present the following lemma which is proved in [10]. Lemma 3.6 (see [10]) For any initial values x(0) of the model (1),…”

“…In this paper, we will consider an asymmetric DW model [9,10] , which is the asymmetric form of the conventional DW model. In our previous work, we proved that all agent opinions in the asymmetric DW model will converge almost surely for any initial state [9,10] , which is similar with the convergence result for the conventional DW model [11,12] , but the analysis of the convergence rate is still lacked.…”

“…The objective of this paper is to study the convergence rate of the asymmetric DW model, which is a random and state-dependent multi-agent system [10] . In fact, various previous theoretical convergence rate results of multi-agent systems are obtained [8,[13][14][15][16] .…”

Multiagent opinion dynamics influenced by individual susceptibility and anchoring effect

“…Social opinion evolution takes place ubiquitously in our daily life [3,11,24]. In fact, social influence happens because of various reasons such as persuasion and conformity [8].…”