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Analysing tax evasion dynamics via the Ising model

Author

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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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Suggested Citation

  • 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.
  • Handle: RePEc:spr:jeicoo:v:4:y:2009:i:1:p:1-14
    DOI: 10.1007/s11403-008-0043-5
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    File URL: http://hdl.handle.net/10.1007/s11403-008-0043-5
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    References listed on IDEAS

    as
    1. Joel Slemrod, 2007. "Cheating Ourselves: The Economics of Tax Evasion," Journal of Economic Perspectives, American Economic Association, vol. 21(1), pages 25-48, Winter.
    2. 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.
    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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    Citations

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    Cited by:

    1. 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.
    2. M. L. Bertotti & G. Modanese, 2016. "Mathematical models describing the effects of different tax evasion behaviors," Papers 1701.02662, arXiv.org.
    3. 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.
    4. 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, vol. 24(4), pages 541-553.
    5. 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.
    6. 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.
    7. Pellizzari, Paolo & Rizzi, Dino, 2014. "Citizenship and power in an agent-based model of tax compliance with public expenditure," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 35-48.
    8. 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.
    9. 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.
    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. 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.
    12. 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.
    13. Shu-Heng Chen & Sai-Ping Li, 2011. "Econophysics: Bridges over a Turbulent Current," Papers 1107.5373, arXiv.org.
    14. 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.
    15. 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.
    16. R.Kavita Rao & Suranjali Tandon, 2016. "Revisiting the Tax Compliance Problem using Prospect Theory," Working Papers id:11225, eSocialSciences.
    17. 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.
    18. Pickhardt, Michael & Prinz, Aloys, 2014. "Behavioral dynamics of tax evasion – A survey," Journal of Economic Psychology, Elsevier, vol. 40(C), pages 1-19.
    19. repec:eee:tefoso:v:127:y:2018:i:c:p:38-56 is not listed on IDEAS
    20. 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".
    21. Richard Vale, 2015. "A Model for Tax Evasion with Some Realistic Properties," Papers 1508.02476, arXiv.org.

    More about this item

    Keywords

    Opinion dynamics; Sociophysics; Ising model;

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