Socioeconomic agents as active matter in nonequilibrium Sakoda-Schelling models

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Main Authors: Zakine, Ruben, Garnier-Brun, Jerome, Becharat, Antoine-Cyrus, Benzaquen, Michael
Format: Preprint
Published: 2023
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author Zakine, Ruben
Garnier-Brun, Jerome
Becharat, Antoine-Cyrus
Benzaquen, Michael
author_facet Zakine, Ruben
Garnier-Brun, Jerome
Becharat, Antoine-Cyrus
Benzaquen, Michael
contents How robust are socioeconomic agent-based models with respect to the details of the agents' decision rule? We tackle this question by considering an occupation model in the spirit of the Sakoda-Schelling model, historically introduced to shed light on segregation dynamics among human groups. For a large class of utility functions and decision rules, we pinpoint the nonequilibrium nature of the agent dynamics, while recovering the equilibrium-like phase separation phenomenology. Within the mean field approximation we show how the model can be mapped, to some extent, onto an active matter field description. Finally, we consider non-reciprocal interactions between two populations, and show how they can lead to non-steady macroscopic behavior. We believe our approach provides a unifying framework to further study geography-dependent agent-based models, notably paving the way for joint consideration of population and price dynamics within a field theoretic approach.
format Preprint
id arxiv_https___arxiv_org_abs_2307_14270
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Socioeconomic agents as active matter in nonequilibrium Sakoda-Schelling models
Zakine, Ruben
Garnier-Brun, Jerome
Becharat, Antoine-Cyrus
Benzaquen, Michael
Statistical Mechanics
Soft Condensed Matter
General Economics
Economics
Physics and Society
How robust are socioeconomic agent-based models with respect to the details of the agents' decision rule? We tackle this question by considering an occupation model in the spirit of the Sakoda-Schelling model, historically introduced to shed light on segregation dynamics among human groups. For a large class of utility functions and decision rules, we pinpoint the nonequilibrium nature of the agent dynamics, while recovering the equilibrium-like phase separation phenomenology. Within the mean field approximation we show how the model can be mapped, to some extent, onto an active matter field description. Finally, we consider non-reciprocal interactions between two populations, and show how they can lead to non-steady macroscopic behavior. We believe our approach provides a unifying framework to further study geography-dependent agent-based models, notably paving the way for joint consideration of population and price dynamics within a field theoretic approach.
title Socioeconomic agents as active matter in nonequilibrium Sakoda-Schelling models
topic Statistical Mechanics
Soft Condensed Matter
General Economics
Economics
Physics and Society
url https://arxiv.org/abs/2307.14270