Kinematics and dynamics of Pareto–Zipfʹs law and Gibratʹs law

We discuss Pareto–Zipfʹs law and Gibratʹs law found in the high-end regions of personal income, companyʹs 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.