2019/06/27 by Tushar Vaidya, Thiparat Chotibut, Georgios Piliouras · 1 citation
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Artificial intelligence #Channel (broadcasting) #Complex Network Analysis Techniques #Computer science #Context (archaeology) #Detailed balance #Dynamics (music) #Mathematical economics #Mathematics #Noise (video) #Nonlinear Dynamics and Pattern Formation #Opinion Dynamics and Social Influence #Physics #Probabilistic logic #Quantum many-body systems #Realization (probability) #Social learning #Statistical physics #Statistics #Synchronization (alternating current) #cond-mat.stat-mech #cs.SI #econ.TH #msc:82B31 #msc:82C05 #msc:91A99 #msc:91B80 #msc:92D99 #physics.soc-ph
paper · pdf · open access · doi:10.1016/j.physa.2021.125818
published in Physica A Statistical Mechanics and its Applications 570, 125818 (Elsevier BV) · 4 figures
arxiv created 2020/05/13 · openalex publication_date 2021/02/06 · arxiv updated 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.