Gibbs versus non-Gibbs distributions in money dynamics

M. Patriarca, A. Chakraborti, K. Kaski

    Research output: Contribution to journalArticleScientificpeer-review

    22 Citations (Scopus)


    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 gamma-distribution. (C) 2004 Elsevier B.V. All rights reserved.
    Original languageEnglish
    Pages (from-to)334-339
    JournalPhysica A: Statistical Mechanics and its Applications
    Issue number1-3
    Publication statusPublished - 2004
    MoE publication typeA1 Journal article-refereed


    • econophysics
    • money dynamics
    • gamma distribution
    • Gibbs distribution


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