https://doi.org/10.1140/epjb/s10051-024-00667-7
Regular Article – Statistical and Nonlinear Physics
Noise effects in Schelling metapopulation model with underlying star topology
Department of Physics, Shanghai Normal University, 200234, Shanghai, People’s Republic of China
b
guifeng_su@shnu.edu.cn
c
yizhang@shnu.edu.cn
Received:
11
December
2023
Accepted:
5
March
2024
Published online:
25
March
2024
The Schelling model, one of the most famous agent-based models in social physics, describes the formation of social segregated groups of agents based on their preferences. It has received significant attention, and various versions of the model have been extensively developed and studied as well. In this paper, we examine the impact of noise on Schelling’s metapopulation segregation model, specifically focusing on an underlying star topological structure. Our findings demonstrate that the fascinating effects caused by the star topology become fragile when the model is subjected to noise. We conducted theoretical analyses and numerical simulations to investigate the stationary state of the systems, their evolutionary process, and the distribution of the agents. Our results indicate that the anomaly in optimizing collective utility by egoists diminishes at a non-vanishing level of noise. On the other hand, altruists regain their ability to optimize collective utility. As the noise level increases, the resulting randomness becomes dominant in the movement of agents, leading to a reduced distinction between the two types of agents and eventually become random walkers.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
