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Deformed Zipf's law in personal donation

Q. Chen, C. Wang and Y. Wang

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The power law or Zipf's law phenomena in human behaviors have been widely observed and attracted intensive attention. In this letter, a new evidence on personal donation is presented and analyzed. A sample of donation to the victims of Sichuan earthquake in 2008 demonstrates that donation distribution has a particular pattern. The upper part is governed by Zipf's law and the lower part exhibits a uniform distribution. We propose a theoretical model in which people's wealth distribution follows a power law, they are willing to donate a random part of their wealth and have preferences on some specific numbers. This model provides us not only a reasonable explanation on the empirical donation pattern but also an effective method to get access to large-scale personal-wealth distributions.


PACS

89.65.Gh Economics; econophysics, financial markets, business and management

89.75.Da Systems obeying scaling laws

89.65.-s Social and economic systems

Subjects

Statistical physics and nonlinear systems

Dates

Issue 3 (November 2009)

Received 30 September 2009, accepted for publication 21 October 2009

Published 4 November 2009



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