Repository: Freie Universität Berlin, Math Department

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

Djurdjevac Conrad, Nataša and Köppl, Jonas and Djurdjevac, Ana (2022) Feedback Loops in Opinion Dynamics of Agent-Based Models with Multiplicative Noise. Entropy, 24 (10). pp. 1-23.

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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

Item Type:Article
Subjects:Mathematical and Computer Sciences
Mathematical and Computer Sciences > Mathematics
Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2941
Deposited By: Monika Drueck
Deposited On:18 Apr 2023 08:14
Last Modified:05 Feb 2024 10:54

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