Coevolution of opinion dynamics on evolving signed appraisal networks
type: Item
instance of: scholarly article
title: Coevolution of opinion dynamics on evolving signed appraisal networks
zbMATH Open document ID: 1482.91164
author: Rongrong Kang
author: Xiang Li
published in: Automatica
publication date: 2022-01-31T00:00:00Z
review text: This paper studies co-evolution of opinion dynamics on evolving signed appraisal networks. In a network of \(N\) agents, each agent is associated with a value \(x_i(t)\) representing its opinion at time \(t\). A weighted signed digraph \(G(W(t))\) is used to describe the interpersonal appraisals between agents. The positive elements represent positive appraisal and the negative elements represent negative appraisal. Zero elements mean non-appraisal. The co-evolution of opinions and appraisal networks is defined as \(x(t+1)=W(t)x(t)\) for opinion evolution and \(W(t+1)=f(W(t),x(t+1))\) for appraisal evolution, where \(x(t)\) forms the vector of opinions. Assume that \(G(W(t))\) achieves a state of structural balance and strongly connected components remain constant for some associated structures at time \(\tau\). Let \(H_s\) be a sink of the condensation digraph with \(N_s\) nodes at time \(t\ge\tau\). It is shown that the corresponding appraisal subnetwork converges to a fully connected structurally balanced state and the opinions of agents in it achieve a state of bipartite consensus exponentially fast. Convergence of structurally unbalanced sinks and convergence of structurally unbalanced non-sinks are also considered. Some numerical examples are presented to illustrate the results.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 91D30
zbMATH DE Number: 7466844
zbMATH Keywords: opinion dynamics
zbMATH Keywords: evolving networks
zbMATH Keywords: coevolution model
zbMATH Keywords: signed graph
zbMATH Keywords: structural balance theory
zbMATH Keywords: social distancing
MaRDI profile type: Publication
full work available at URL: j.automatica.2021.110138
OpenAlex ID: W4210454312
cites work: Consensus Problems on Networks With Antagonistic Interactions
cites work: Signed bounded confidence models for opinion dynamics
cites work: On Krause's Multi-Agent Consensus Model With State-Dependent Connectivity
cites work: Reaching a Consensus
cites work: Opinion dynamics in social networks with stubborn agents: equilibrium and convergence rate
cites work: Opinion Dynamics and Social Power Evolution over Reducible Influence Networks
cites work: Opinion dynamics and the evolution of social power in influence networks
cites work: Opinion Propagation Over Signed Networks: Models and Convergence Analysis
cites work: Exponential Convergence of the Discrete- and Continuous-Time Altafini Models
cites work: Dynamic Models of Appraisal Networks Explaining Collective Learning
cites work: Disagreement of Hierarchical Opinion Dynamics with Changing Antagonisms
cites work: Opinion Dynamics in Social Networks With Hostile Camps: Consensus vs. Polarization
cites work: Structural Balance and Opinion Separation in Trust–Mistrust Social Networks
cites work: Opinion consensus of modified Hegselmann-Krause models
cites work: An influence network model to study discrepancies in expressed and private opinions
DOI: 10.1016/J.AUTOMATICA.2021.110138
description: scientific article; zbMATH DE number 7466844