The middle class: An analysis of the dependence of size on the level of income inequality

Alexander Varshavsky
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Abstract

The article examines the dependence of the middle class size on the level of income inequality. For this purpose, the indicators that characterize the size of the middle class (the share of income of the middle class as a whole and the shares of its different strata) are analyzed. For this the analytical expressions were used which were found using the income distribution model based on the finite functional sequence that was developed by the author and described earlier in several articles. The results obtained in the work show a certain stability of the income share of the middle class as a whole in a rather wide range of the level of income inequality. At the same time, it is shown that there are significant differences in the dependence of the income shares of various middle class strata on the level of inequality. With the help of analytical expressions obtained on the basis of the developed model, a diagram is constructed for an approximate assessment of the middle class size depending on the level of income inequality. This diagram allows to estimate the size of the middle class for its various definitions in relation to the median income. Based on the results obtained, some variants of the possible reaction of the middle class as a whole and its individual strata to the increase in income inequality were considered. It is concluded that the middle class, being a source of stability, at the same time can become the initiator of the income inequality reduction when the inequality level is very high.
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中产阶级:规模对收入不平等程度的依赖性分析
本文考察了中产阶级规模对收入不平等程度的依赖关系。为此目的,分析了表征中产阶级规模的指标(整个中产阶级的收入份额及其不同阶层的份额)。为此,使用了解析表达式,这些表达式是在基于有限函数序列的收入分配模型中发现的,该模型是由作者开发的,并在前面的几篇文章中描述过。研究结果表明,在相当大的收入不平等水平范围内,中产阶级的收入份额作为一个整体具有一定的稳定性。同时,各中产阶级阶层收入份额对不平等程度的依赖程度存在显著差异。借助在已开发模型的基础上获得的解析表达式,构建了一个图表,用于根据收入不平等水平对中产阶级规模进行近似评估。这个图表可以根据中产阶级的不同定义来估计中产阶级的规模与收入中位数的关系。根据所获得的结果,考虑了中产阶级作为一个整体及其个别阶层对收入不平等加剧的可能反应的一些变体。得出的结论是,当收入不平等程度很高时,中产阶级作为稳定的源泉,同时也可以成为减少收入不平等的发起者。
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