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Mathematical models describing the effects of different tax evasion behaviors

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  • M. L. Bertotti
  • G. Modanese

Abstract

Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax evasion. In particular, the existence is postulated, in relation to the level of evasion, of different individual taxpayer behaviors. The effects of the mentioned different behaviors on shape and features of the emerging income distribution profile are investigated qualitatively and quantitatively. Numerical solutions show that the Gini inequality index of the total population increases when the evasion level is higher, but does not depend significantly on the evasion spread. For fixed spread, the relative difference between the average incomes of the worst evaders and honest taxpayers increases approximately as a quadratic function of the evasion level.

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  • M. L. Bertotti & G. Modanese, 2016. "Mathematical models describing the effects of different tax evasion behaviors," Papers 1701.02662, arXiv.org.
    • Handle: RePEc:arx:papers:1701.02662
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    References listed on IDEAS

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    1. Els Heinsalu & Marco Patriarca, 2014. "Kinetic models of immediate exchange," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(8), pages 1-10, August.
    2. Maria Letizia Bertotti & Giovanni Modanese, 2014. "Micro to macro models for income distribution in the absence and in the presence of tax evasion," Papers 1403.0015, arXiv.org.
    3. Leigh Tesfatsion & Kenneth L. Judd (ed.), 2006. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 2, number 2.
    4. Fabio Tramontana, 2010. "Economics as a compartmental system: a simple macroeconomic example," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 57(4), pages 347-360, December.
    5. Sascha Hokamp & Götz Seibold, 2014. "Tax Compliance and Public Goods Provision. An Agent-based Econophysics Approach," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 6(4), pages 217-236, December.
    6. Georg Zaklan & Frank Westerhoff & Dietrich Stauffer, 2009. "Analysing tax evasion dynamics via the Ising model," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 4(1), pages 1-14, June.
    7. Chakrabarti, Anindya S. & Chakrabarti, Bikas K., 2009. "Microeconomics of the ideal gas like market models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4151-4158.
    8. Alan Kirman, 2006. "Heterogeneity in Economics," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 1(1), pages 89-117, May.
    9. M. Bertotti & G. Modanese, 2012. "Exploiting the flexibility of a family of models for taxation and redistribution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(8), pages 1-10, August.
    10. Crokidakis, Nuno, 2014. "A three-state kinetic agent-based model to analyze tax evasion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 321-328.
    11. Simone Landini & Mauro Gallegati & Joseph Stiglitz, 2015. "Economies with heterogeneous interacting learning agents," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 10(1), pages 91-118, April.
    12. Victor M. Yakovenko & J. Barkley Rosser, 2009. "Colloquium: Statistical mechanics of money, wealth, and income," Papers 0905.1518, arXiv.org, revised Dec 2009.
    13. Maria Letizia Bertotti & Giovanni Modanese, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Papers 1109.0606, arXiv.org.
    14. Bertotti, Maria Letizia & Modanese, Giovanni, 2011. "From microscopic taxation and redistribution models to macroscopic income distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3782-3793.
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