# Power-law exponent of the Bouchaud-M\'ezard model on regular random network

## Author Info

• Takashi Ichinomiya
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## Abstract

We study the Bouchaud-M\'ezard model on a regular random network. By assuming adiabaticity and independency, and utilizing the generalized central limit theorem and the Tauberian theorem, we derive an equation that determines the exponent of the probability distribution function of the wealth as $x\rightarrow \infty$. The analysis shows that the exponent can be smaller than 2, while a mean-field analysis always gives the exponent as being larger than 2. The results of our analysis are shown to be good agreement with those of the numerical simulations.

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File URL: http://arxiv.org/pdf/1307.4821

## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1307.4821.

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 Length: Date of creation: Jul 2013 Date of revision: Publication status: Published in Phys. Rev. E 88, 012819 (2013) Handle: RePEc:arx:papers:1307.4821 Contact details of provider: Web page: http://arxiv.org/

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