Perturbed Anisotropic Opinion Dynamics with Delayed Information

Abstract

We revisited the problem of modeling a publicity campaign in a society of intelligent agents that form their opinions by interchanging information with each other and with the society as a whole. We use a Markov approximation to consider the effects of an interaction delay τ in the system of perturbed differential equations that model the social dynamics. The stable points of the dynamical system are the manifestation of the agent’s attitudes, either in favor or against the social rule, as it was previously found, but the approach to the stable points is greatly modified by the presence of the delay.