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Analysing tax evasion dynamics via the Ising model

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  • Georg Zaklan
  • Frank Westerhoff
  • Dietrich Stauffer

Abstract

We develop a model of tax evasion based on the Ising model. We augment the model using an appropriate enforcement mechanism that may allow policy makers to curb tax evasion. With a certain probability tax evaders are subject to an audit. If they get caught they behave honestly for a certain number of periods. Simulating the model for a range of parameter combinations, we show that tax evasion may be controlled effectively by using punishment as an enforcement mechanism.

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  • Georg Zaklan & Frank Westerhoff & Dietrich Stauffer, 2008. "Analysing tax evasion dynamics via the Ising model," Papers 0801.2980, arXiv.org.
  • Handle: RePEc:arx:papers:0801.2980
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    File URL: http://arxiv.org/pdf/0801.2980
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    References listed on IDEAS

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    1. Allingham, Michael G. & Sandmo, Agnar, 1972. "Income tax evasion: a theoretical analysis," Journal of Public Economics, Elsevier, vol. 1(3-4), pages 323-338, November.
    2. Joel Slemrod, 2007. "Cheating Ourselves: The Economics of Tax Evasion," Journal of Economic Perspectives, American Economic Association, vol. 21(1), pages 25-48, Winter.
    3. Zaklan, Georg & Lima, F.W.S. & Westerhoff, Frank, 2008. "Controlling tax evasion fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5857-5861.
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    Cited by:

    1. Pickhardt, Michael & Prinz, Aloys, 2014. "Behavioral dynamics of tax evasion – A survey," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 1-19.
    2. Pickhardt, Michael & Seibold, Goetz, 2014. "Income tax evasion dynamics: Evidence from an agent-based econophysics model," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 147-160.
    3. Levaggi, Rosella & Menoncin, Francesco, 2012. "Tax audits, fines and optimal tax evasion in a dynamic context," Economics Letters, Elsevier, vol. 117(1), pages 318-321.
    4. 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.
    5. Richard Vale, 2015. "A Model for Tax Evasion with Some Realistic Properties," Papers 1508.02476, arXiv.org.
    6. Paolo Pellizzari & Dino Rizzi, 2011. "A Multi-Agent Model of Tax Evasion with Public Expenditure," Working Papers 2011_15, Department of Economics, University of Venice "Ca' Foscari".
    7. Chen, Shu-Heng & Chang, Chia-Ling & Wen, Ming-Chang, 2014. "Social networks and macroeconomic stability," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 8, pages 1-40.
    8. Pellizzari, Paolo & Rizzi, Dino, 2014. "Citizenship and power in an agent-based model of tax compliance with public expenditure," Journal of Economic Psychology, Elsevier, pages 35-48.
    9. Shu-Heng Chen & Sai-Ping Li, 2011. "Econophysics: Bridges over a Turbulent Current," Papers 1107.5373, arXiv.org.
    10. Sascha Hokamp & Götz Seibold, 2014. "Tax Compliance and Public Goods Provision. An Agent-based Econophysics Approach," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 6(4), pages 217-236, December.
    11. Sascha Hokamp & Michael Pickhardt, 2010. "Income Tax Evasion in a Society of Heterogeneous Agents - Evidence from an Agent-based Model," International Economic Journal, Taylor & Francis Journals, pages 541-553.
    12. Muñoz, Francisco & Nuño, Juan Carlos & Primicerio, Mario, 2015. "Effects of inspections in small world social networks with different contagion rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 76-86.
    13. Nuno Trindade Magessi & Luis Antunes, 2015. "Risk Perception and Risk Attitude on a Tax Evasion Context," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 7(3), pages 127-149, September.
    14. Chen, Shu-Heng & Chang, Chia-Ling & Tseng, Yi-Heng, 2014. "Social networks, social interaction and macroeconomic dynamics: How much could Ernst Ising help DSGE?," Research in International Business and Finance, Elsevier, vol. 30(C), pages 312-335.
    15. Hokamp, Sascha, 2014. "Dynamics of tax evasion with back auditing, social norm updating, and public goods provision – An agent-based simulation," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 187-199.
    16. M. L. Bertotti & G. Modanese, 2016. "Mathematical models describing the effects of different tax evasion behaviors," Papers 1701.02662, arXiv.org.
    17. Andrei, Amanda L. & Comer, Kevin & Koehler, Matthew, 2014. "An agent-based model of network effects on tax compliance and evasion," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 119-133.
    18. Rao, R. Kavita & Tandon, Suranjali, 2016. "Revisiting the tax compliance problem using prospect theory," Working Papers 16/169, National Institute of Public Finance and Policy.
    19. R.Kavita Rao & Suranjali Tandon, 2016. "Revisiting the Tax Compliance Problem using Prospect Theory," Working Papers id:11225, eSocialSciences.
    20. Zaklan, Georg & Lima, F.W.S. & Westerhoff, Frank, 2008. "Controlling tax evasion fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5857-5861.

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