# Gaussian Noise Effects on the Evolution of Wealth in a Closed System of n-Economies

## Author Info

• J. M. Pellon-Diaz
• A. Aragones-Munoz
• A. Sandoval-Villalbazo
• A. Diaz-Reynoso
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## Abstract

Based on the stochastic model proposed by Patriarca-Kaski-Chakraborti that describes the exchange of wealth between $n$ economic agents, we analyze the evolution of the corresponding economies under the assumption of a Gaussian background, modeling the exchange parameter $\epsilon$. We demonstrate, that within Gaussian noise, the variance of the resulting wealth distribution will significantly decrease, and the equilibrium state is reached faster than in the case of a uniform distributed $\epsilon$ parameter. Also, we show that the system with Gaussian noise strongly resembles a deterministic system which is solved by means of a Z-Transform based technique.

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File URL: http://arxiv.org/pdf/1102.1713

## Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1102.1713.

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 Length: Date of creation: Feb 2011 Date of revision: Feb 2011 Handle: RePEc:arx:papers:1102.1713 Contact details of provider: Web page: http://arxiv.org/

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