Bouchaud-M\'ezard model on a random network
Adaptation and Self-Organizing Systems
2012-09-19 v1 Disordered Systems and Neural Networks
Statistical Finance
Abstract
We studied the Bouchaud-M\'ezard(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 than that obtained by the mean-field theory, where represents the strength of interaction between agents. We compared our results with numerical simulation results and found that they were in good agreement.
Keywords
Cite
@article{arxiv.1209.2467,
title = {Bouchaud-M\'ezard model on a random network},
author = {Takashi Ichinomiya},
journal= {arXiv preprint arXiv:1209.2467},
year = {2012}
}
Comments
to be published in Physical Review E