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Simulation of a generalized asset exchange model with economic growth and wealth distribution
Kang K L Liu1, N Lubbers1, W Klein1,2
1Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
This study generalizes the agent-based yard-sale model to include economic growth, revealing a critical point at λ=1. Below this point, agents experience wealth growth and mobility; above it, wealth concentrates, and mobility ceases.
Area of Science:
- Statistical mechanics applied to economic systems
- Agent-based modeling of wealth distribution
- Economic growth and inequality dynamics
Background:
- Traditional economic models often simplify wealth distribution and growth dynamics.
- Agent-based models offer a powerful framework for simulating complex economic interactions.
- Understanding the statistical properties of economic systems is crucial for policy-making.
Purpose of the Study:
- To generalize the agent-based yard-sale model by incorporating exponential economic growth.
- To investigate the impact of growth distribution on wealth inequality and economic mobility.
- To explore the applicability of equilibrium statistical mechanics to economic phenomena.
Main Methods:
- Generalization of the agent-based yard-sale model.
- Numerical simulations to analyze wealth distribution and agent mobility.
- Definition of system energy to assess thermodynamic equilibrium.
- Estimation of critical exponents and comparison with mean-field theory.
Main Results:
- Identification of a critical point at parameter λ=1, distinguishing between economic mobility and wealth condensation phases.
- Demonstration of exponential wealth growth for all agents when λ<1.
- Observation of wealth condensation and lack of mobility for λ≥1.
- System found to be in thermodynamic equilibrium for λ<1.
Conclusions:
- Economic growth benefits all agents if its distribution is equitable.
- The model exhibits distinct phases analogous to phase transitions in physics.
- The study provides insights into applying equilibrium statistical mechanics to economic systems.
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