Modelling of Information Spreading in the Population of Taxpayers: Evolutionary Approach

Authors

  • Suriya Sh. Kumacheva Saint Petersburg State University
  • Elena A. Gubar Saint Petersburg State University
  • Ekaterina M. Zhitkova Saint Petersburg State University
  • Zlata Kurnosykh Saint Petersburg State University
  • Tatiana Skovorodina Saint Petersburg State University

Abstract

Information technologies such as social networks and Internet allow to spread ideas, rumors, advertisements and information effectively and widely. Here we use this fact to describe two different approach of evaluation the impact of information on the members of tax system. We consider an impact of spreading information about future audits of the tax authorities in a population of taxpayers. It is assumed that all agents pay taxes, if they know that the probability of a tax audit is high. However some agents can hide their true income and then such behavior provokes the tax audit. Each agent adopts her behavior to the received information of future audits, which depends on the behavior of other agents.

Firstly, we model a process of propagation information as an epidemic process and combine it with game between tax authority and taxpayers. Secondly, we consider evolutionary game on network which define structured population of taxpayers and evaluate the impact of the spreading of information on the changes of population states over the time.

We formulate mathematical models, analyze the behavior of agents and corroborate all results with numerical simulations.

Keywords:

tax audit, tax evasion, total tax revenue, information spreading, evolutionary game on networks

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References

Antocia, A. and Paolo Russua, P. and Zarrib, L. (2014). Tax Evasion in a Behaviorally Heterogeneous Society: An Evolutionary Analysis. Economic Modelling, 42, 106–115.

Antunes, L. and Balsa, J. and Urbano, P. Moniz, L. and Roseta-Palma, C. (2006). Tax Compliance in a Simulated Heterogeneous Multi-agent Society. Lecture Notes in Computer Science, 3891, 147–161.

Bloomquist, K. M. (2006). A comparison of agent-based models of income tax evasion. Social Science Computer Review, 24(4), 411–425.

Boure, V. and Kumacheva, S. (2010). A game theory model of tax auditing using statistical information about taxpayers. St. Petersburg, “Vestnik SPbGU”, series 10, 4, 16–24 (in Russian).

Chander, P. and Wilde, L. L. (1998). A General Characterization of Optimal Income Tax Enfocement. Review of Economic Studies, 65, 165–183.

Galegov, A. and Garnaev, A. (2009). A tax game in a cournot duopoly. Mathematical game theory and applications, 1(1), 3–15 (in Russian).

Goffman, W. and Newill, V. A. (1964). Generalization of Epidemic Theory: An Application to the Transmission of Ideas. Nature, 204(4955), 225–228.

Gubar, E. A. (2010). Construction Different Types of Dynamics in an Evolutionary Model of Trades in the Stock Market. Contributions to Game Theory and Management. Vol. 3. SPb: Graduate School of Management, SPbU, 162–171.

Gubar, E. A. and Kumacheva, S. Sh. and Zhitkova, E. M. and Porokhnyavaya, O. Yu. (2015). Impact of Propagation Information in the Model of Tax Audit. Recent advances in game theory and applications, “Static& Dynamic Game Theory: Foundations & Applications”, Birkhauser, 91–110.

Gubar, E. A. and Kumacheva, S. Sh. and Zhitkova, E. M. and Porokhnyavaya, O. Yu. (2015). Propagation of information over the network of taxpayers in the model of tax auditing. Stability and Control Processes in Memory of V.I. Zubov SCP 2015, IEEE Conference Publications. INSPEC Accession Number: 15637330. pp. 244-247.

Harsanyi, J. C. and Selten, R. (1988). General Theory of Equilibrium Selection in Games. Cambridge, MA: The M.I.T. Press.

Hayel, Ye. and Trajanovski, S. and Altman, E. and Wang, H. and Van Mieghem, P. (2014). Complete Game-theoretic Characterization of SIS Epidemic Protection Strategies. Decision and Control (CDC), IEEE, 1179–1184.

Kandhway, K. and Kuri, J. (2014). Optimal control of information epidemics modeled as Maki Thompson rumors. Preprint submitted to Communications in Nonlinear Science and Numerical Simulation.

Kolesin, I. D. and Gubar, E. A. and Zhitkova, E. M. (2014). Strategies of control in medical and social systems. Unipress, SPbSU, St.Petersburg.

Kolesnik, G. V. and Leonova, N. A. (2011). A model of tax competition under taxpayers' local competition. Mathematical game theory and applications. 3(1), 60–80 (in Russian).

Kumacheva, S. Sh. and Gubar, E. A. (2015). Evolutionary Model Of Tax Auditing. Contributions to Game Theory and Management. Vol. 8. SPb: Graduate School of Management, SPbU, 164–175.

Monderer, D. and Shapley, L. S. (1996). Potential Games. Games and Economic Behavior, 14, 124–143.

Nekovee, A. M. and Moreno, Y. and Bianconi, G. and Marsili, M. (2007). Theory of rumor spreading in complex social networks. Physica, A, 374, 457–470.

Niazashvili, A. (2007). Individual differences in risk propensity in different social situations of personal development. Moscow: Moscow University for the Humanities.

Nisan, N. and Roughgarden, T. and Tardos, E. and Vazirani, V. (2007). Algorithmic Game Theory. Cambridge: Cambridge University press.

Novikov, D. A. (2010). Games and networks. Mathematical game theory and applications, 2(1), 107–124 (in Russian).

Reinganum, J. R. and Wilde, L. L. (1985). Income tax compliance in a principalagent framework. Journal of Public Economics, 26, 1–18.

Riehl, J. R. and Cao, M. (2015). Control of Stochastic Evolutionary Games on Networks. 5th IFAC Workshop on Distributed Estimation and Control in Networked Systems, Philadelphia, PA, United States.

Sanchez, I. and Sobel, J. (1993). Hierarchical design and enforcement of income tax policies. Journal of Public Economics, 50, 345–369.

Sandholm, W. H. (2010). Population Games and Evolutionary Dynamics. Cambridge, MA: The M.I.T.Press.

Tembine, H. and Altman, E. and Azouzi, R. and Hayel, Y. (2010). Evolutionary Games in Wireless Networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 40(3), 634–646.

Vasin, A. and Morozov, V. (2005). The Game Theory and Models of Mathematical Economics. Moscow: MAKSpress (in Russian).

Weibull, J. (1995). Evolutionary Game Theory. Cambridge, MA: The M.I.T.Press.

The web-site of the Russian Federation State Statistics Service http://www.gks.ru/

The web-site of the Russian Federal Tax Service. https://www.nalog.ru/

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Published

2022-04-17

How to Cite

Kumacheva, S. S., Gubar, E. A., Zhitkova, E. M., Kurnosykh, Z., & Skovorodina, T. (2022). Modelling of Information Spreading in the Population of Taxpayers: Evolutionary Approach. Contributions to Game Theory and Management, 10. Retrieved from https://gametheory.spbu.ru/article/view/13255

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