Directed Random Market: the equilibrium distribution

Guy Katriel

Papers from arXiv.org

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 $\frac{1}{2}$. We also prove the convergence of the discrete-time process describing the evolution of the distribution of wealth to the equilibrium distribution.

Date: 2014-04
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Published in Acta Applicandae Mathematicae, 139 (2015), 95-103

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