Directed Random Market: the equilibrium distribution

Guy Katriel

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arXiv · 1404.4068

Directed Random Market: the equilibrium distribution

Guy Katriel

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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.

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Guy Katriel. 2014-04-15. Directed Random Market: the equilibrium distribution. https://arxiv.org/abs/1404.4068

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