Bouchaud-Mézard model on a random network

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.

to be published in Physical Review E

References in corpus (2)

• Turing patterns in network-organized activator-inhibitor systems
• Effects of network topology on wealth distributions

Cited by in corpus (1)

• Wealth distribution on complex networks