Consensus in complex networks with noisy agents and peer pressure

Christopher Griffin, Anna Squicciarini and Feiran Jia

Physica A: Statistical Mechanics and its Applications, 2022, vol. 608, issue P1

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.

Keywords: Consensus; Peer-pressure; Noise; Hidden state recovery; Privacy (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:608:y:2022:i:p1:s0378437122008214

DOI: 10.1016/j.physa.2022.128263

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