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arXiv · 2306.14586

Consensus in Complex Networks with Noisy Agents and Peer Pressure

Christopher Griffin·Anna Squicciarini·Feiran Jia
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Abstract

In this paper we study a discrete time consensus model on a connected graph with monotonically increasing peer-pressure and noise perturbed outputs masking a hidden state. We assume that each agent maintains a constant hidden state and a presents a dynamic output that is perturbed by random noise drawn from a mean-zero distribution. We show consensus is ensured in the limit as time goes to infinity under certain assumptions on the increasing peer-pressure term and also show that the hidden state cannot be exactly recovered even when model dynamics and outputs are known. The exact nature of the distribution is computed for a simple two vertex graph and results found are shown to generalize (empirically) to more complex graph structures.

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Christopher Griffin, Anna Squicciarini, Feiran Jia. 2023-06-26. Consensus in Complex Networks with Noisy Agents and Peer Pressure. https://doi.org/10.1016/j.physa.2022.128263

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