Kinematics and dynamics of Pareto–Zipf's law and Gibrat's law

Hideaki Aoyama, Yoshi Fujiwara and Wataru Souma

Physica A: Statistical Mechanics and its Applications, 2004, vol. 344, issue 1, 117-121

Abstract: We discuss Pareto–Zipf's law and Gibrat's law found in the high-end regions of personal income, company's income, and various measures of company size. The fact that these phenomenological laws coexist in wide range of data suggests some deep mathematical relations between them. In this paper we find just such relationships under the law of detailed-balance. This sets a basis for perturbative treatment of the economic change.

Keywords: Pareto's law; Gibrat's law; Power law; Scaling (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:344:y:2004:i:1:p:117-121

DOI: 10.1016/j.physa.2004.06.099

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