Sustained oscillations in multi-topic belief dynamics over signed networks
Optimization and Control
2023-03-24 v2 Multiagent Systems
Social and Information Networks
Dynamical Systems
Physics and Society
Abstract
We study the dynamics of belief formation on multiple interconnected topics in networks of agents with a shared belief system. We establish sufficient conditions and necessary conditions under which sustained oscillations of beliefs arise on the network in a Hopf bifurcation and characterize the role of the communication graph and the belief system graph in shaping the relative phase and amplitude patterns of the oscillations. Additionally, we distinguish broad classes of graphs that exhibit such oscillations from those that do not.
Cite
@article{arxiv.2210.00353,
title = {Sustained oscillations in multi-topic belief dynamics over signed networks},
author = {Anastasia Bizyaeva and Alessio Franci and Naomi Ehrich Leonard},
journal= {arXiv preprint arXiv:2210.00353},
year = {2023}
}
Comments
6 pages, 6 figures, accepted for publication in the 2023 American Control Conference proceedings