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Far from equilibrium: Wealth reallocation in the United States

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  • Yonatan Berman
  • Ole Peters
  • Alexander Adamou

Abstract

Studies of wealth inequality often assume that an observed wealth distribution reflects a system in equilibrium. This constraint is rarely tested empirically. We introduce a simple model that allows equilibrium but does not assume it. To geometric Brownian motion (GBM) we add reallocation: all individuals contribute in proportion to their wealth and receive equal shares of the amount collected. We fit the reallocation rate parameter required for the model to reproduce observed wealth inequality in the United States from 1917 to 2012. We find that this rate was positive until the 1980s, after which it became negative and of increasing magnitude. With negative reallocation, the system cannot equilibrate. Even with the positive reallocation rates observed, equilibration is too slow to be practically relevant. Therefore, studies which assume equilibrium must be treated skeptically. By design they are unable to detect the dramatic conditions found here when data are analysed without this constraint.

Suggested Citation

  • Yonatan Berman & Ole Peters & Alexander Adamou, 2016. "Far from equilibrium: Wealth reallocation in the United States," Papers 1605.05631, arXiv.org.
    • Handle: RePEc:arx:papers:1605.05631
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    Cited by:

    1. Berman, Yonatan & Shapira, Yoash, 2017. "Revisiting r>g—The asymptotic dynamics of wealth inequality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 562-572.
    2. Anand Sahasranaman & Henrik Jeldtoft Jensen, 2019. "Dynamics of reallocation within India's income distribution," Papers 1909.04452, arXiv.org, revised Oct 2020.
    3. Zdzislaw Burda & Malgorzata J. Krawczyk & Krzysztof Malarz & Malgorzata Snarska, 2021. "Wealth rheology," Papers 2105.08048, arXiv.org, revised Jun 2021.

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