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Who is in equilibrium?

Author

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  • Valerio Astuti

Abstract

In order to describe the properties of the observed distribution of wealth in a population, most economic models rely on the existence of an asymptotic equilibrium state. In addition, the process generating the equilibrium distribution is usually assumed to be ergodic, with a finite asymptotic average and bounded inequality. Here we show, using data from Bank of Italy's Survey on Household Income and Wealth and Forbes Italian billionaires lists, that the last hypothesis is not justified in Italy. We find that, even if an equilibrium asymptotic distribution exists, the average wealth has no finite asymptotic value. As a consequence we find that - without changes in the parameters of the wealth evolution process - wealth inequality is bound to diverge with time. In addition we evaluate the equilibration time of the evolution process when its parameters are chosen in order to admit both an equilibrium distribution and a finite equilibrium average wealth. Even when both the equilibrium hypotheses are satisfied, we find equilibration times much longer than the typical time span between economic shocks.

Suggested Citation

  • Valerio Astuti, 2024. "Who is in equilibrium?," Papers 2402.05716, arXiv.org.
    • Handle: RePEc:arx:papers:2402.05716
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    References listed on IDEAS

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    1. Moshe Levy & Haim Levy, 2003. "Investment Talent and the Pareto Wealth Distribution: Theoretical and Experimental Analysis," The Review of Economics and Statistics, MIT Press, vol. 85(3), pages 709-725, August.
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    3. Levy, Moshe, 2003. "Are rich people smarter?," Journal of Economic Theory, Elsevier, vol. 110(1), pages 42-64, May.
    4. Benhabib, Jess & Bisin, Alberto & Zhu, Shenghao, 2015. "The wealth distribution in Bewley economies with capital income risk," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 489-515.
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