Distributions of money in model markets of economy

Details Distributions of money in model markets of economy Distributions of money in model markets of economy

2002-05-10

arxiv.org/abs/cond-mat/0205221v1

Int. J. Mod. Phys. C 13, 1315 (2002)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 4 postscript figures. To appear in IJMPC 13 (2002)

Scientific paper

10.1142/S0129183102003905

We study the distributions of money in a simple closed economic system for different types of monetary transactions. We know that for arbitrary and random sharing but locally conserving money transactions, the money distribution goes to the Gibb's distribution of statistical mechanics. We then consider the effects of savings, etc. and see how the distribution changes. We also propose a new model where the agents invest equal amounts of money in each transaction. We find that for short time-periods, the money distribution obeys a power-law with an exponent very close to unity, and has an exponential tail; after a very long time, this distribution collapses and the entire amount of money goes to a tiny fraction of the population.

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