Zipf's Law, Pareto's Law, and the Evolution of Top Incomes in the U.S.
Author(s) -
Shuhei Aoki,
Makoto Nirei
Publication year - 2015
Publication title -
ssrn electronic journal
Language(s) - English
Resource type - Journals
ISSN - 1556-5068
DOI - 10.2139/ssrn.2426418
Subject(s) - zipf's law , pareto principle , economics , law , political science , mathematics , statistics , operations management
We construct a tractable neoclassical growth model that generates Pareto's law of income distribution and Zipf's law of the firm size distribution from idiosyncratic, firm-level productivity shocks. Executives and entrepreneurs invest in risk-free assets as well as their own firms' risky stocks, through which their wealth and income depend on firm-level shocks. By using the model, we evaluate how changes in tax rates can account for the evolution of top incomes in the U.S. The model matches the decline in the Pareto exponent of the income distribution and the trend of the top 1% income share in recent decades.
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