Behavioural Economics and Tax Evasion: Calibrating an Agent-based Econophysics Model with Experimental Tax Compliance Data
Keywords:
Tax Evasion, Tax Compliance Experiments, Agent-Based Model, Behavioural Economics, Econophysics, CalibrationAbstract
We observe in the literature a persistent lack of calibrating agent-based econophysics tax evasion models. However, calibrations are indispensable to the quantitative and predictive application of such computational simulation approaches. Therefore, we analyse individual data from two tax compliance experiments with social interaction: from information on tax enforcement measures in groups with income heterogeneity, where the audit probability is known and audit results are publicly and officially announced; and from information about the mean reported income of other group members in the previous period. In our agent-based econophysics simulation, we implement recent advances in behavioural economics, for instance to describe social interactions within a population of behaviourally heterogeneous taxpayers. For this purpose, we employ experimental data showing a bimodal distribution which allows us to apply Ising’s description of magnetism, a model adopted from statistical physics that can be related to binary choice models. We restrict agents in our econophysics framework to show selfish, imitating, ethical or random motives in their decisions to declare income. We find that the subjects in the experimental laboratory pursue rather mixed behaviour, including random and imitating motives.
References
Allingham, M. G., & Sandmo, A. (1972). Income tax evasion: A theoretical analysis. Journal of Public Economics, 1, 323-338.
Alm, J. (2010). Testing behavioral public economic theories in the laboratory. National Tax Journal, 63(4), 635-658.
Alm, J. (2012). Measuring, explaining, and controlling tax evasion: Lessons from theory, experiments, and field studies. International Tax and Public Finance, 19(1), 54-77.
Alm, J., Bloomquist, K. M., & McKee, M. (2015). On the external validity of laboratory tax compliance experiments. Economic Inquiry, 52(2), 1170-1186.
Alm, J., Deskins, J., & McKee, M. (2009). Do individuals comply on income not reported by their employer? Public Finance Review, 37, 120-141.
Alm, J., Jackson, B. R., & McKee, M. (1992). Institutional uncertainty and taxpayer compliance. The American Economic Review, 82(4), 1018-1026.
Alm, J., Jackson, B. R., & McKee, M. (2009). Getting the word out: Enforcement information dissemination and compliance behavior. Journal of Public Economics, 93, 392-402.
Alm, J., & McKee, M. (2006). Audit certainty, audit productivity, and taxpayer compliance. National Tax Journal, 59, 801-816.
Arsian, O., & İcan, Ö. (2013a). An agent-based analysis of tax compliance for Turkey. Anadolu University Journal of Social Sciences, 13(2), 143-152.
Arsian, O., & İcan, Ö. (2013b). The effects of neighborhood on tax compliance rates: Evidence from an agent-based model. Ç. Ü. Sosyal Bilimler Enstitüsü Dergisi, 22(1), 337-350.
Bazart, C., & Bonein, A. (2014). Reciprocal relationships in tax compliance decisions. Journal of Economic Psychology, 40, 83-102.
Bazart, C., & Pickhardt, M. (2011). Fighting income tax evasion with positive rewards. Public Finance Review, 39(1), 124-149.
Bloomquist, K. M. (2004a). Modeling Taxpayers’ Response to Compliance Improvement Alternatives. Paper presented at the Annual Conference of the North American Association for Computational Social and Organizational Sciences, Pittsburgh, PA, 27-29 June.
Bloomquist, K. M. (2004b). Multi-agent Based Simulation of the Deterrent Effects of Taxpayer Audits. Paper presented at the 97th Annual Conference of the National Tax Association, Minneapolis, MN, November.
Bloomquist, K. M. (2006). A comparison of agent-based models of income tax evasion. Social Science Computer Review, 24(4), 411-425.
Bloomquist, K. M. (2008). Tax compliance simulation: A multi-agent based approach. In B. Edmonds, K. G. Troitzsch, & C. H. Iglesias (Eds), Social Simulation: Technologies, Advances and New Discoveries (pp.13-25). Hershey, PA: Information Science Reference.
Bloomquist, K. M. (2011a). Tax compliance as an evolutionary coordination game: An agent-based approach. Public Finance Review, 39(1), 25-49.
Bloomquist, K. M. (2011b). Multi-agent Simulation of Taxpayer Reporting Compliance. Invited Paper presented at the International Conference on Taxation Analysis and Research, London, December.
Bloomquist, K. M. (2012). Agent-based Simulation of Tax Reporting Compliance. PhD Thesis, George Mason University, Fairfax, VA.
Bloomquist, K. M., & Koehler, M. (2015). A large-scale agent-based model of tax reporting compliance. Journal of Artificial Societies and Social Simulation, 18(2). Retrieved from http://jasss.soc.surrey.ac.uk/18/2/20.html.
Cline, J., Bloomquist, K. M., Gentile, J. E., Koehler, M., & Marques, U. (2013). From Thought to Action: Creating Tax Compliance Models at National Scales. Paper presented at the International Conference on “The Shadow Economy, Tax Evasion and Governance”, Münster, Germany, July.
Crokidakis, N. (2014). A three-state kinetic agent-based model to analyze tax evasion dynamics. Physica A, 414, 321-328.
Davis, J., Hecht, G., & Perkins, J. D. (2003), Social behaviors, enforcement and tax compliance dynamics. The Accounting Review, 78, 39-69.
Garrido, N., & Mittone, L. (2013). An agent based model for studying optimal tax collection policy using experimental data: The cases of Chile and Italy. Journal of Socio-Economics, 42, 24-30.
Hokamp, S. (2013). Income Tax Evasion and Public Goods Provision: Theoretical Aspects and Agent-based Simulations. PhD Thesis, Brandenburg University of Technology, Cottbus, Germany.
Hokamp, S., & Pickhardt, M. (2010). Income tax evasion in a society of heterogeneous agents: Evidence from an agent-based model. International Economic Journal, 24(4), 541-553.
Hokamp, S., & Seibold, G. (2014a). How much rationality tolerates the shadow economy? An agent-based econophysics approach. In B. Kamiński, & G. Koloch (Eds), Advances in Social Simulation, ESSA 2013 (pp.119-128). Berlin: Springer.
Hokamp, S., & Seibold, G. (2014b). Tax compliance and public goods provision: An agent-based econophysics approach. Central European Journal of Economic Modelling and Econometrics, 6(4), 217-236.
Ising, E. (1925). Beitrag zur Theorie des Ferromagnetismus. Zeitschrift für Physik, 31(1), 253-258.
Krauskopf, T., & Prinz, A. (2011). Methods to reanalyze tax compliance experiments: Monte-Carlo simulations and decision time analysis. Public Finance Review, 39(1), 168-188.
Krauth, W. (2006). Statistical Mechanics, Algorithms and Computations. Oxford: Oxford University Press.
Lima, F. W. S. (2010). Analysing and controlling the tax evasion dynamics via majority-vote model. Journal of Physics: Conference Series, 246, 1-12.
Lima, F. W. S. (2012a). Tax evasion dynamics and Zaklan model on opinion-dependent network. International Journal of Modern Physics C: Computational Physics and Physical Computation, 23(6), 1250047-11.
Lima, F. W. S. (2012b). Tax evasion and nonequilibrium model on Apollonian networks. International Journal of Modern Physics C: Computational Physics and Physical Computation, 23(11), 1250079-8.
Lima, F. W. S., & Zaklan, G. (2008). A multi-agent-based approach to tax morale. International Journal of Modern Physics C: Computational Physics and Physical Computation, 19(12), 1797-1808.
Llácer, T., Miguel, F. J., Noguera, J. A., & Tapia, E. (2013). An agent-based model of tax compliance: An application to the Spanish case. Advances in Complex Systems, 16, 1350007-33.
Macal, C. M., & North, M. J. (2005). Tutorial on agent-based modeling and simulation. In M. E. Kuhl, N. M. Steiger, F. B. Armstrong, & J. A. Joines (Eds), Proceedings of the 37th Winter Simulation Conference (pp.2-15), Orlando, FL, 4-7 December.
Miguel, F. J., Noguera, J. A., Llácer, T., & Tapia, E. (2012). Exploring Tax Compliance: An Agent-based Simulation. Paper presented at the 26th European Conference on Modelling and Simulation, Koblenz, Germany, May/June.
Mittone, L., & Patelli, P. (2000). Imitative behavior in tax evasion. In F. Luna, & B. Stefansson (Eds), Economic Simulations in Swarm: Agent-based Modelling and Object Oriented Programming (pp.133-158). Dordrecht: Kluwer Academic.
Noguera, J. A., Llácer, T., Miguel, F. J., & Tapia, E. (2014). Tax compliance, rational choice, and social influence: An agent-based model. Revue Française de Sociologie, 55(4), 765-804.
Nordblom, K., & Žamac, J. (2012). Endogenous norm formation over the life cycle: The case of tax morale. Economic Analysis and Policy, 42(2), 153-170.
Pickhardt, M., & Prinz, A. (2014). Behavioral dynamics of tax evasion: A survey. Journal of Economic Psychology, 40, 1-19.
Pickhardt, M., & Seibold, G. (2014). Income tax evasion dynamics: Evidence from an agent-based econophysics model. Journal of Economic Psychology, 40, 147-160.
Rand, W., & Trust, R. T. (2011). Agent-based modeling in marketing: Guidelines for rigor. International Journal of Research in Marketing, 28, 181-193.
Schinckus, C. (2013). Between complexity of modelling and modelling of complexity: An essay on econophysics. Physica A, 392(13), 3654-3665.
Schulz, M. (2003). Statistical Physics and Economics: Concepts, Tools, and Applications. New York: Springer.
Seibold, G., & Pickhardt, M. (2013). Lapse of time effects on tax evasion in an agent-based econophysics model. Physica A, 392(9), 2079-2087.
Sornette, D. (2014). Physics and financial economics (1776-2014): Puzzles, Ising and agent-based models. Reports on Progress in Physics, 77, 062001-1-28.
Srinivasan, T. N. (1973). Tax evasion: A model. Journal of Public Economics, 2, 339-346.
Stauffer, D. (2013). A biased review of sociophysics. Journal of Statistical Physics, 151, 9-20.
Train, K. (2009). Discrete Choice Methods with Simulation. Cambridge: Cambridge University Press.
Yitzhaki, S. (1974). A note on income tax evasion: A theoretical analysis. Journal of Public Economics, 3, 201-202.
Zaklan, G., Lima, F. W. S., & Westerhoff, F. (2008). Controlling tax evasion fluctuations. Physica A: Statistical Mechanics and its Applications, 387(23), 5857-5861.
Zaklan, G., Westerhoff, F., & Stauffer, D. (2009). Analysing tax evasion dynamics via the Ising model. Journal of Economic Interaction and Coordination, 4, 1-14
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2016 Cécile Bazart, Aurélie Bonein, Sascha Hokamp, Götz Seibold
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our open access status means that authors retain the copyright of their work. However, all papers published in JOTA are done so under a Creative Commons Attribution 4.0 International license (CC BY). This means that others can share and/or adapt your work without your permission as long as they follow certain rules, including attributing your work correctly.
You can learn more about this on our Open Access, Licensing, and Copyright Policies page.