Gibbs versus non-Gibbs distributions in money dynamics

Details Gibbs versus non-Gibbs distributions in money dynamics Gibbs versus non-Gibbs distributions in money dynamics

2003-12-05

arxiv.org/abs/cond-mat/0312167v1

Physics

Condensed Matter

Statistical Mechanics

6 pages including 3 figures. Elsevier style. Submitted for Conference Proceedings of the International Conference "News and Ex

Scientific paper

10.1016/j.physa.2004.04.024

We review a simple model of closed economy, where the economic agents make money transactions and a saving criterion is present. We observe the Gibbs distribution for zero saving propensity, and non-Gibbs distributions otherwise. While the exact solution in the case of zero saving propensity is already known to be given by the Gibbs distribution, here we provide the explicit analytical form of the equilibrium distribution for the general case of nonzero saving propensity. We verify it through comparison with numerical data and show that it can be cast in the form of a Poisson distribution.

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