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Incorporating a monetary variable into the Schelling model addresses the issue of a decreasing entropy trace
1Department of Statistics and Data Science, University of Central Florida, Orlando, 32816, USA. alexander.mantzaris@ucf.edu.
Scientific Reports
|October 13, 2020
Summary
This study modifies the Schelling segregation model by adding a monetary variable, resolving a thermodynamic paradox. The simulation shows that while residential clustering decreases entropy, monetary dynamics increase it, maintaining overall thermodynamic balance.
Area of Science:
- Sociophysics
- Computational Social Science
- Statistical Mechanics
Background:
- The Schelling segregation model exhibits decreasing state entropy, contradicting the second law of thermodynamics.
- Integrating physics principles into sociological models necessitates addressing this entropic paradox.
Purpose of the Study:
- To resolve the entropic paradox in the Schelling model by introducing a monetary variable.
- To investigate the interplay between residential homogeneity and monetary dynamics on system entropy.
Main Methods:
- A modified Schelling model incorporating a monetary variable for residential agents, sampled from income data.
- Estimating simulation entropy based on aggregate residential and income homogeneity over iterations.
Main Results:
- The monetary variable dynamic was shown to increase the system's state entropy.
- Simulation traces demonstrated that monetary dynamics create an independent entropic increase, paralleling residential clustering's entropic decrease.
Conclusions:
- The modified Schelling model reconciles the entropic paradox by balancing segregation-induced entropy decrease with monetary dynamics-induced entropy increase.
- This approach offers a more thermodynamically consistent framework for modeling social segregation and agent-based systems.
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