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Microscopic models for the study of taxpayer audit effects

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  • M. L. Bertotti
  • G. Modanese

Abstract

A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in which also tax evasion and auditing processes occur. The focus is on effects of enforcement regimes, characterized by different choices of the audited taxpayer fraction and of the penalties imposed to noncompliant individuals. A complex systems perspective is adopted: society is considered as a system composed by a large number of heterogeneous individuals. These are divided into income classes and may as well have different tax evasion behaviors. The variation in time of the number of individuals in each class is described by a system of nonlinear differential equations of the kinetic discretized Boltzmann type involving transition probabilities.

Suggested Citation

  • M. L. Bertotti & G. Modanese, 2016. "Microscopic models for the study of taxpayer audit effects," Papers 1602.08467, arXiv.org.
    • Handle: RePEc:arx:papers:1602.08467
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    Cited by:

    1. A. E. Biondo & G. Burgio & A. Pluchino & D. Puglisi, 2022. "Taxation and evasion: a dynamic model," Journal of Evolutionary Economics, Springer, vol. 32(3), pages 797-826, July.
    2. Sergey Dianov & Lyudmila Koroleva & Natalia Pokrovskaia & Natalia Victorova & Andrey Zaytsev, 2022. "The Influence of Taxation on Income Inequality: Analysis of the Practice in the EU Countries," Sustainability, MDPI, vol. 14(15), pages 1-19, July.
    3. V.A. Molodykh, 2021. "Impact of Short-Term Exogenous Shocks on Taxpayer Behavior and Tax Evasion," Journal of Applied Economic Research, Graduate School of Economics and Management, Ural Federal University, vol. 20(2), pages 241-268.

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