Noise-based control of social dynamics

06/11/2018

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by   Wei Su, et al.

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Designing practical control strategies for opinion dynamics of social size has never been an easy job. It requires the control law cannot 1) be implemented on all individuals of the society; 2) rely on the specific opinion values of the social system. Thanks to the emerging studies on noise-induced consensus of opinion dynamics, the noise-based intervention strategy seems meet the above two requirements and displays its potential in social control, yet its general theory still lacks. In this paper, we establish a theoretical analysis on the noise-based control strategy where only part of agents are affected by randomly generated noises. That is, no matter how many agents (even only one) receive noise, the system will a.s. achieve quasi-consensus in finite time, and the critical noise strength is obtained. The result provides solid ground for implementing social control using noise.