Cooperative opinion dynamics on multiple interdependent topics: Modeling and analysis
Systems and Control
2024-10-25 v2 Systems and Control
Abstract
To model the interdependent couplings of multiple topics, we develop a set of rules for opinion updates of a group of agents. The rules are used to design or assign values to the elements of interdependent weighting matrices. The cooperative and anti-cooperative couplings are modeled in both the inverse-proportional and proportional feedbacks. The behaviors of cooperative opinion dynamics are analyzed using a null space property of state-dependent matrix-weighted Laplacian matrices and a Lyapunov candidate. Various consensus properties of state-dependent matrix-weighted Laplacian matrices are predicted according to the intra-agent network topology and inter-dependency topical coupling topologies.
Keywords
Cite
@article{arxiv.1807.04406,
title = {Cooperative opinion dynamics on multiple interdependent topics: Modeling and analysis},
author = {Hyo-Sung Ahn and Quoc Van Tran and Minh Hoang Trinh and Kevin L. Moore and Mengbin Ye and Ji Liu},
journal= {arXiv preprint arXiv:1807.04406},
year = {2024}
}