Piketty’s Law Is Pareto’s Law: ‘Bad Faith’ in the Analysis of Income Inequality?

Jill Trinh, M. McLure
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Abstract

Abstract On the face of it, Pareto’s law and Piketty’s law are inconsistent, with Pareto arguing that real per capita economic growth is the solution to the problem of income inequality and Piketty arguing for redistribution to be funded from a wealth tax. In this paper we make three contributions. First, we establish that Piketty’s and Pareto’s laws are essentially the same economic law when the same definition of inequality is adopted by the two scholars. Second, in highlighting the relationship between Pareto’s α and Piketty’s is monotonic, we show that Piketty’s criticism of Pareto for assuming a constant α across the income range would also apply in similar measure to his own law. Third, given the essential equivalence of Pareto’s law and Piketty’s law, we reflect on Piketty’s curious accusation that Pareto undertook his analysis of the relationship between α and inequality in ‘bad faith’.
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皮凯蒂定律是帕累托定律:收入不平等分析中的“恶意”?
从表面上看,帕累托定律和皮凯蒂定律是不一致的,帕累托认为实际人均经济增长是解决收入不平等问题的办法,而皮凯蒂认为再分配应该由财富税提供资金。在本文中,我们做了三个贡献。首先,我们确立了当两位学者采用相同的不平等定义时,皮凯蒂定律和帕累托定律本质上是相同的经济规律。其次,在强调帕累托α和皮凯蒂α之间的关系是单调的时候,我们表明,皮凯蒂对帕累托假设整个收入范围内α不变的批评也适用于他自己的定律。第三,考虑到帕累托定律和皮凯蒂定律在本质上的等价性,我们反思了皮凯蒂对帕累托“恶意”地分析α与不平等之间关系的奇怪指责。
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