Sustained oscillations in multi-topic belief dynamics over signed networks

10/01/2022

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by   Anastasia Bizyaeva, et al.

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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.