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Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise

We introduce an agent-based model for co-evolving opinions and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents’ movements are governed by the positions and opinio...

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Detalles Bibliográficos
Autores principales: Djurdjevac Conrad, Nataša, Köppl, Jonas, Djurdjevac, Ana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9601133/
https://www.ncbi.nlm.nih.gov/pubmed/37420373
http://dx.doi.org/10.3390/e24101352
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author Djurdjevac Conrad, Nataša
Köppl, Jonas
Djurdjevac, Ana
author_facet Djurdjevac Conrad, Nataša
Köppl, Jonas
Djurdjevac, Ana
author_sort Djurdjevac Conrad, Nataša
collection PubMed
description We introduce an agent-based model for co-evolving opinions and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents’ movements are governed by the positions and opinions of other agents and similarly, the opinion dynamics are influenced by agents’ spatial proximity and their opinion similarity. Using numerical simulations and formal analyses, we study this feedback loop between opinion dynamics and the mobility of agents in a social space. We investigate the behaviour of this ABM in different regimes and explore the influence of various factors on the appearance of emerging phenomena such as group formation and opinion consensus. We study the empirical distribution, and, in the limit of infinite number of agents, we derive a corresponding reduced model given by a partial differential equation (PDE). Finally, using numerical examples, we show that a resulting PDE model is a good approximation of the original ABM.
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spelling pubmed-96011332022-10-27 Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise Djurdjevac Conrad, Nataša Köppl, Jonas Djurdjevac, Ana Entropy (Basel) Article We introduce an agent-based model for co-evolving opinions and social dynamics, under the influence of multiplicative noise. In this model, every agent is characterized by a position in a social space and a continuous opinion state variable. Agents’ movements are governed by the positions and opinions of other agents and similarly, the opinion dynamics are influenced by agents’ spatial proximity and their opinion similarity. Using numerical simulations and formal analyses, we study this feedback loop between opinion dynamics and the mobility of agents in a social space. We investigate the behaviour of this ABM in different regimes and explore the influence of various factors on the appearance of emerging phenomena such as group formation and opinion consensus. We study the empirical distribution, and, in the limit of infinite number of agents, we derive a corresponding reduced model given by a partial differential equation (PDE). Finally, using numerical examples, we show that a resulting PDE model is a good approximation of the original ABM. MDPI 2022-09-24 /pmc/articles/PMC9601133/ /pubmed/37420373 http://dx.doi.org/10.3390/e24101352 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Djurdjevac Conrad, Nataša
Köppl, Jonas
Djurdjevac, Ana
Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title_full Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title_fullStr Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title_full_unstemmed Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title_short Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise
title_sort feedback loops in opinion dynamics of agent-based models with multiplicative noise
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9601133/
https://www.ncbi.nlm.nih.gov/pubmed/37420373
http://dx.doi.org/10.3390/e24101352
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