Economy – Quantitative Finance – Statistical Finance
Scientific paper
2008-09-24
Journal of Statistical Mechanics, P02014 (2009)
Economy
Quantitative Finance
Statistical Finance
11 pages, 3 figures
Scientific paper
10.1088/1742-5468/2009/02/P02014
One of the key socioeconomic phenomena to explain is the distribution of wealth. Bouchaud and M\'ezard have proposed an interesting model of economy [Bouchaud and M\'ezard (2000)] based on trade and investments of agents. In the mean-field approximation, the model produces a stationary wealth distribution with a power-law tail. In this paper we examine characteristic time scales of the model and show that for any finite number of agents, the validity of the mean-field result is time-limited and the model in fact has no stationary wealth distribution. Further analysis suggests that for heterogeneous agents, the limitations are even stronger. We conclude with general implications of the presented results.
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