Statistical mechanics of money: how saving propensity affects its distribution

2000/04/30 by Anirban Chakraborti, Bikas K. Chakrabarti · 15 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #Economic theories and models #cond-mat.stat-mech #q-fin.GN

paper · pdf · doi:10.1007/s100510070173

published as Eur. Phys. J. B 17, 167 (2000) · 9 pages, 5 figures. Revised version with major changes in the text and figures (to appear in Euro. Phys. Jour. B)

arxiv created 2000/06/02 · openalex publication_date 2000/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are equivalent to energy and temperature, respectively. We investigate the effect of the saving propensity of the agents on the stationary or equilibrium money distribution.The equilibrium probablity distribution of money becomes the usual Gibb's distribution, characteristic of non-interacting agents, when the agents do not save. However with saving, even for local or individual self-interest, the dynamics become cooperative and the resulting asymmetric Gaussian-like stationary distribution acquires global ordering properties. Intriguing singularities are observed in the stationary money distribution in the market, as function of the ``marginal saving propensity'' of the agents.

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