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The mean-field approximation model of company's income growth

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  • Takayuki Mizuno
  • Misako Takayasu
  • Hideki Takayasu

Abstract

We introduce a mean-field type approximation for description of company's income statistics. Utilizing huge company data we show that a discrete version of Langevin equation with additive and multiplicative noises can appropriately describe the time evolution of a company's income fluctuation in statistical sense. The Zipf's law of income distribution is shown to be hold in a steady-sate widely, and country-dependence of income distribution can also be nicely implemented in our numerical simulation.

Suggested Citation

  • Takayuki Mizuno & Misako Takayasu & Hideki Takayasu, 2003. "The mean-field approximation model of company's income growth," Papers cond-mat/0307270, arXiv.org, revised Aug 2003.
  • Handle: RePEc:arx:papers:cond-mat/0307270
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    File URL: http://arxiv.org/pdf/cond-mat/0307270
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