On absence of steady state in the Bouchaud-Mézard network model
arXiv:1704.02377 · doi:10.1016/j.physa.2017.09.076
Abstract
In the limit of infinite number of nodes (agents), the Itô-reduced Bouchaud-Mézard network model of economic exchange has a time-independent mean and a steady-state inverse gamma distribution. We show that for a finite number of nodes the mean is actually distributed as a time-dependent lognormal and inverse gamma is quasi-stationary, with the time-dependent scale parameter.
arXiv comment6 pages, 4 figures
References in corpus (7)
- On growth-optimal tax rates and the issue of wealth inequalities
- Distribution Of Wealth In A Network Model Of The Economy
- A Model for Stock Returns and Volatility
- Correlation and Relaxation Times for a Stochastic Process with a Fat-Tailed Steady-State Distribution
- Breakdown of the mean-field approximation in a wealth distribution model
- Far from equilibrium: Wealth reallocation in the United States
- Corrections to the Central Limit Theorem for Heavy-Tailed Probability Densities