Directed Random Market: the equilibrium distribution
General Finance
2019-10-07 v1 Adaptation and Self-Organizing Systems
Abstract
We find the explicit expression for the equilibrium wealth distribution of the Directed Random Market process, recently introduced by Mart\'inez-Mart\'inez and L\'opez-Ruiz, which turns out to be a Gamma distribution with shape parameter . We also prove the convergence of the discrete-time process describing the evolution of the distribution of wealth to the equilibrium distribution.
Cite
@article{arxiv.1404.4068,
title = {Directed Random Market: the equilibrium distribution},
author = {Guy Katriel},
journal= {arXiv preprint arXiv:1404.4068},
year = {2019}
}