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Pareto Distributions in Economic Growth Models

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  • Nirei, Makoto

Abstract

This paper analytically demonstrates that the tails of income and wealth distributions converge to a Pareto distribution in a variation of the Solow or Ramsey growth model where households bear idiosyncratic investment shocks. The Pareto exponent is shown to be decreasing in the shock variance, increasing in the growth rate, and increased by redistribution policies by income or bequest tax. Simulations show that even in the short run the exponent is affected by those fundamentals. We argue that the Pareto exponent is determined by the balance between the savings from labor income and the asset income contributed by risk-taking behavior.

Suggested Citation

  • Nirei, Makoto, 2009. "Pareto Distributions in Economic Growth Models," IIR Working Paper 09-05, Institute of Innovation Research, Hitotsubashi University.
  • Handle: RePEc:hit:iirwps:09-05
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    File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/17503/1/070iirWP09_05.pdf
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    Cited by:

    1. Charles I. Jones, 2015. "Pareto and Piketty: The Macroeconomics of Top Income and Wealth Inequality," Journal of Economic Perspectives, American Economic Association, vol. 29(1), pages 29-46, Winter.
    2. Smerlak, Matteo, 2016. "Thermodynamics of inequalities: From precariousness to economic stratification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 441(C), pages 40-50.
    3. Fix, Blair, 2018. "A Hierarchy Model of Income Distribution," Working Papers on Capital as Power 2018/02, Capital As Power - Toward a New Cosmology of Capitalism.
    4. Piketty, Thomas & Saez, Emmanuel, 2012. "A Theory of Optimal Capital Taxation," CEPR Discussion Papers 8946, C.E.P.R. Discussion Papers.
    5. Matteo Smerlak, 2014. "Thermodynamics of inequalities: from precariousness to economic stratification," Papers 1406.6441, arXiv.org, revised Nov 2014.
    6. Charles I. Jones & Jihee Kim, 2014. "A Schumpeterian Model of Top Income Inequality," NBER Working Papers 20637, National Bureau of Economic Research, Inc.
    7. Xavier Gabaix & Jean‐Michel Lasry & Pierre‐Louis Lions & Benjamin Moll, 2016. "The Dynamics of Inequality," Econometrica, Econometric Society, vol. 84, pages 2071-2111, November.
    8. Ricardo T. Fernholz, 2016. "A Statistical Model of Inequality," Papers 1601.04093, arXiv.org.
    9. Yannick Malevergne & Didier Sornette, 2016. "Wealth and Income Inequalities ← → r > g," Swiss Finance Institute Research Paper Series 16-69, Swiss Finance Institute.
    10. Aoki, Shuhei & Nirei, Makoto, 2013. "Pareto Distributions and the Evolution of Top Incomes in the U.S," MPRA Paper 47967, University Library of Munich, Germany.
    11. NIREI Makoto, 2011. "Investment Risk, Pareto Distribution, and the Effects of Tax," Discussion papers 11015, Research Institute of Economy, Trade and Industry (RIETI).
    12. Shuhei Aoki & Makoto Nirei, 2014. "Zipf’s Law, Pareto’s Law, and the Evolution of Top Incomes in the U.S," UTokyo Price Project Working Paper Series 023, University of Tokyo, Graduate School of Economics.
    13. Shuhei Aoki & Makoto Nirei, "undated". "Zipf's Law, Pareto¡¯s Law, and the Evolution of Top Incomes in the U.S," Working Papers e74, Tokyo Center for Economic Research.
    14. Shuhei Aoki & Makoto Nirei, 2016. "Pareto Distribution of Income in Neoclassical Growth Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 20, pages 25-42, April.

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