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Evolutionary Tax Evasion and Optimal Regulation

Author

Listed:
  • Domenico De Giovanni
  • Fabio Lamantia
  • Mario Pezzino

Abstract

We study the dynamics of compliance in a population of agents that decide whether to engage in tax evasion depending on an evolutionary adaptation process. We model taxpayers’ preferences by means of Prospect Theory. We also consider an optimal control problem to study the longrun level of tax evasion when a tax authority targets the maximization of the expected stream of tax revenues choosing auditing effort. The analysis provides conditions for the evolution of tax evasion to converge to an asymptotically stable interior equilibrium. Moreover, the study of the intertemporal optimal auditing produces novel and rich results, including the existence of multiple equilibria and discontinuities in the optimal control.

Suggested Citation

  • Domenico De Giovanni & Fabio Lamantia & Mario Pezzino, 2018. "Evolutionary Tax Evasion and Optimal Regulation," Economics Discussion Paper Series 1814, Economics, The University of Manchester.
    • Handle: RePEc:man:sespap:1814
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    File URL: http://hummedia.manchester.ac.uk/schools/soss/economics/discussionpapers/EDP-1814.pdf
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    References listed on IDEAS

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    1. Raj Chetty, 2009. "Is the Taxable Income Elasticity Sufficient to Calculate Deadweight Loss? The Implications of Evasion and Avoidance," American Economic Journal: Economic Policy, American Economic Association, vol. 1(2), pages 31-52, August.
    2. Benno Torgler, 2002. "Speaking to Theorists and Searching for Facts: Tax Morale and Tax Compliance in Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 16(5), pages 657-683, December.
    3. Grune, Lars & Semmler, Willi, 2004. "Using dynamic programming with adaptive grid scheme for optimal control problems in economics," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2427-2456, December.
    4. Galbiati, Roberto & Zanella, Giulio, 2012. "The tax evasion social multiplier: Evidence from Italy," Journal of Public Economics, Elsevier, vol. 96(5), pages 485-494.
    5. Timothy Besley & Anders Jensen & Torsten Persson, 2023. "Norms, Enforcement, and Tax Evasion," The Review of Economics and Statistics, MIT Press, vol. 105(4), pages 998-1007, July.
    6. Michele Bernasconi & Alberto Zanardi, 2004. "Tax Evasion, Tax Rates, and Reference Dependence," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 60(3), pages 422-445, September.
    7. Dzhumashev, Ratbek & Gahramanov, Emin, 2011. "Comment on "A dynamic portfolio choice model of tax evasion: Comparative statics of tax rates and its implication for economic growth"," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 253-256, March.
    8. Fahad Khalil, 1997. "Auditing Without Commitment," RAND Journal of Economics, The RAND Corporation, vol. 28(4), pages 629-640, Winter.
    9. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    10. Gwenola Trotin, 2012. "Solving the Yitzhaki Paradox," AMSE Working Papers 1238, Aix-Marseille School of Economics, France.
    11. Domenico De Giovanni & Fabio Lamantia, 2018. "Dynamic Harvesting Under Imperfect Catch Control," Journal of Optimization Theory and Applications, Springer, vol. 176(1), pages 252-267, January.
    12. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    13. James Andreoni & Brian Erard & Jonathan Feinstein, 1998. "Tax Compliance," Journal of Economic Literature, American Economic Association, vol. 36(2), pages 818-860, June.
    14. Traxler, Christian, 2010. "Social norms and conditional cooperative taxpayers," European Journal of Political Economy, Elsevier, vol. 26(1), pages 89-103, March.
    15. Alm, James & McClelland, Gary H. & Schulze, William D., 1992. "Why do people pay taxes?," Journal of Public Economics, Elsevier, vol. 48(1), pages 21-38, June.
    16. Amedeo Piolatto & Matthew D. Rablen, 2017. "Prospect theory and tax evasion: a reconsideration of the Yitzhaki puzzle," Theory and Decision, Springer, vol. 82(4), pages 543-565, April.
    17. Amedeo Piolatto & Gwenola Trotin, 2016. "Optimal Income Tax Enforcement under Prospect Theory," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 18(1), pages 29-41, February.
    18. Manuel S. Santos & Jesus Vigo-Aguiar, 1998. "Analysis of a Numerical Dynamic Programming Algorithm Applied to Economic Models," Econometrica, Econometric Society, vol. 66(2), pages 409-426, March.
    19. Fabio Lamantia & Mario Pezzino & Fabio Tramontana, 2017. "Tax Evasion, Intrinsic Motivation, and the Evolutionary Effects of Tax Reforms," Economics Discussion Paper Series 1707, Economics, The University of Manchester.
    20. Bruno S. Frey & Lars P. Feld, 2002. "Deterrence and Morale in Taxation: An Empirical Analysis," CESifo Working Paper Series 760, CESifo.
    21. Lars P. Feld & Jean‐Robert Tyran, 2002. "Tax Evasion and Voting: An Experimental Analysis," Kyklos, Wiley Blackwell, vol. 55(2), pages 197-221, May.
    22. Levaggi, Rosella & Menoncin, Francesco, 2013. "Optimal dynamic tax evasion," Journal of Economic Dynamics and Control, Elsevier, vol. 37(11), pages 2157-2167.
    23. Gwenola Trotin, 2012. "Solving the Yitzhaki Paradox: Income Tax Evasion and Reference Dependence under Prospect Theory," Working Papers halshs-00793664, HAL.
    24. repec:hal:spmain:info:hdl:2441/2jbidihgpo8bia7dbd5ipjlsi9 is not listed on IDEAS
    25. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    26. Dhami, Sanjit & al-Nowaihi, Ali, 2007. "Why do people pay taxes? Prospect theory versus expected utility theory," Journal of Economic Behavior & Organization, Elsevier, vol. 64(1), pages 171-192, September.
    27. Antoci, Angelo & Russu, Paolo & Zarri, Luca, 2014. "Tax evasion in a behaviorally heterogeneous society: An evolutionary analysis," Economic Modelling, Elsevier, vol. 42(C), pages 106-115.
    28. Erzo F. P. Luttmer & Monica Singhal, 2014. "Tax Morale," Journal of Economic Perspectives, American Economic Association, vol. 28(4), pages 149-168, Fall.
    29. Levaggi, Rosella & Menoncin, Francesco, 2016. "Optimal dynamic tax evasion: A portfolio approach," Journal of Economic Behavior & Organization, Elsevier, vol. 124(C), pages 115-129.
    30. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    31. 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.
    32. Feld, Lars P & Tyran, Jean-Robert, 2002. "Tax Evasion and Voting: An Experimental Analysis," Kyklos, Wiley Blackwell, vol. 55(2), pages 197-222.
    33. A. J. Auerbach & M. Feldstein (ed.), 2002. "Handbook of Public Economics," Handbook of Public Economics, Elsevier, edition 1, volume 4, number 4.
    34. Nordblom, Katarina, 2017. "Tax Morale and Policy Intervention," Working Papers in Economics 711, University of Gothenburg, Department of Economics.
    35. repec:hhs:iuiwop:487 is not listed on IDEAS
    36. Torgler, Benno, 2002. "Speaking to Theorists and Searching for Facts: Tax Morale and Tax Compliance in Experiments," Journal of Economic Surveys, Wiley Blackwell, vol. 16(5), pages 657-683, December.
    37. Wenzel, Michael, 2005. "Motivation or rationalisation? Causal relations between ethics, norms and tax compliance," Journal of Economic Psychology, Elsevier, vol. 26(4), pages 491-508, August.
    38. Dhami, Sanjit & Al-Nowaihi, Ali, 2010. "Optimal taxation in the presence of tax evasion: Expected utility versus prospect theory," Journal of Economic Behavior & Organization, Elsevier, vol. 75(2), pages 313-337, August.
    39. A. J. Auerbach & M. Feldstein (ed.), 2002. "Handbook of Public Economics," Handbook of Public Economics, Elsevier, edition 1, volume 3, number 3.
    40. Yitzhaki, Shlomo, 1974. "Income tax evasion: A theoretical analysis," Journal of Public Economics, Elsevier, vol. 3(2), pages 201-202, May.
    41. Kim, Youngse, 2003. "Income distribution and equilibrium multiplicity in a stigma-based model of tax evasion," Journal of Public Economics, Elsevier, vol. 87(7-8), pages 1591-1616, August.
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    More about this item

    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • H26 - Public Economics - - Taxation, Subsidies, and Revenue - - - Tax Evasion and Avoidance

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