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Statistical mechanics of money: how saving propensity affects its distribution

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Chakraborti, A., Chakrabarti, B.K.·2000·The European Physical Journal B

Abstract

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. Analogous 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 probability distribution of money. When the agents do not save, the equilibrium money distribution becomes the usual Gibb's distribution, characteristic of non-interacting agents. However with saving, even for individual self-interest, the dynamics becomes 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 functions of the marginal saving propensity of the agents.

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Metadata

Authors
Chakraborti, A., & Chakrabarti, B. K.
Venue
The European Physical Journal B
Published
2000-08
Volume
17
Issue
1
Pages
167-170
ISSN
1434-6028 (ISSN-L)
OpenAlex
W1978341896
Cited by
419
References
5
FWCI
6.79
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Statistical mechanics of money: how saving propensity affects its distribution. https://app.cochat.ai/papers/10.1007/s100510070173
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Chakraborti, A., & Chakrabarti, B. K. (2000). Statistical mechanics of money: how saving propensity affects its distribution. The European Physical Journal B. https://doi.org/10.1007/s100510070173

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.