Broken Detailed Balance and Non-Equilibrium Dynamics in Noisy Social Learning Models

Tushar Vaidya, Thiparat Chotibut and Georgios Piliouras

Papers from arXiv.org

Abstract: We propose new Degroot-type social learning models with feedback in a continuous time, to investigate the effect of a noisy information source on consensus formation in a social network. Unlike the standard Degroot framework, noisy information models destroy consensus formation. On the other hand, the noisy opinion dynamics converge to the equilibrium distribution that encapsulates correlations among agents' opinions. Interestingly, such an equilibrium distribution is also a non-equilibrium steady state (NESS) with a non-zero probabilistic current loop. Thus, noisy information source leads to a NESS at long times that encodes persistent correlated opinion dynamics of learning agents. Our model provides a simple realization of NESS in the context of social learning. Other phenomena such as synchronization of opinions when agents are subject to a common noise are also studied.

Date: 2019-06, Revised 2020-05
New Economics Papers: this item is included in nep-cdm, nep-gth and nep-mic
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Published in Volume 570, 15 May 2021

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