收入不平等的标度及其动力学根源
Scaling in Income Inequalities and its Dynamical Origin
摘要:
我们提供了一个可分析的模型,以统一的方式描述所有收入类别的收入分配。该方法是基于一个主方程的增长和重置条款。增长和重置率的模型假设进行了测试,在一个详尽的数据库上的个人层面的收入跨越9年期间在克卢日县(罗马尼亚)。与我们的理论预测相一致,我们发现,当考虑适当的正常化收入时,几年来计算的收入分布在主曲线上崩溃。Beta Prime分布适用于拟合塌陷数据,并且表明其他国家的分布也遵循类似的趋势,但拟合参数不同。拟合参数的非通用特征表明,为了更现实地建模,模型参数必须与具体的社会经济法规相联系。
英文摘要:
We provide an analytically treatable model that describes in a unified manner income distribution for all income categories. The approach is based on a master equation with growth and reset terms. The model assumptions on the growth and reset rates are tested on an exhaustive database with incomes on individual level spanning a nine year period in the Cluj county (Romania). In agreement with our theoretical predictions we find that income distributions computed for several years collapse on a master-curve when a properly normalised income is considered. The Beta Prime distribution is appropriate to fit the collapsed data and it is shown that distributions derived for other countries are following similar trends with different fit parameters. The non-universal feature of the fit parameters suggests that for a more realistic modelling the model parameters have to be linked with specific socio-economic regulations.
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