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arXiv · 1209.2467

Bouchaud-Mézard model on a random network

Takashi Ichinomiya
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Abstract

We studied the Bouchaud-Mézard(BM) model, which was introduced to explain Pareto's law in a real economy, on a random network. Using "adiabatic and independent" assumptions, we analytically obtained the stationary probability distribution function of wealth. The results shows that wealth-condensation, indicated by the divergence of the variance of wealth, occurs at a larger $J$ than that obtained by the mean-field theory, where $J$ represents the strength of interaction between agents. We compared our results with numerical simulation results and found that they were in good agreement.

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Takashi Ichinomiya. 2012-09-12. Bouchaud-Mézard model on a random network. https://doi.org/10.1103/physreve.86.036111

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