Information collecting and dissemination in the network of taxpayers: Bayesian approach
Contributions to game theory and management, Tome 14 (2021), pp. 236-256.

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The current research is based on the assumption that the result of tax inspections is not only collection of taxes and fines. The information about audited taxpayers is also collected and helps to renew a priori knowledge of each agent's evasion propensity and obtain new a posteriori estimate of this propensity. In the beginning of the following tax period the fiscal authority can correct auditing strategy using updated information on every taxpayer. Each inspection is considered as a repeated game, in which the choice of agents to audit is associated with their revealed tendency to evade. Taxpayers also renew the information on the number of inspected neighbors using their social connections, represented by networks of various configurations, and estimate the probability of auditing before the next tax period. Thus, the application of the Bayesian approach to the process of collecting and disseminating information in the network of taxpayers allows to optimize the audit scheme, reducing unnecessary expenses of tax authority and eventually increasing net tax revenue. To illustrate the application of the approach described above to the indicated problem, numerical simulation and scenario analysis were carried out.
Keywords: tax control, tax evasions, risk propensity, structured network, a posteriori information, Bayesian approach.
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Suriya Sh. Kumacheva; Galina A. Tomilina. Information collecting and dissemination in the network of taxpayers: Bayesian approach. Contributions to game theory and management, Tome 14 (2021), pp. 236-256. http://geodesic.mathdoc.fr/item/CGTM_2021_14_a18/

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

[2] Antunes L., Balsa J., Urbano P., Moniz L., Roseta-Palma C., “Tax Compliance in a Simulated Heterogeneous Multi-agent Society”, Lecture Notes in Computer Science, 3891, 2006, 147–161

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

[4] Bure V., Kumacheva S., “A model of audit with using of statistical information about taxpayers' income”, Vestnik SPbGU, series 10, 2005, no. 1–2, 140–145 (in Russian)

[5] Bure V., Kumacheva S., “A game theory model of tax auditing using statistical information about taxpayers”, Vestnik SPbGU, series 10, 2010, no. 4, 16–24 (in Russian) | MR

[6] Chander P., Wilde L. L., “A General Characterization of Optimal Income Tax Enforcement”, Rev. of Econ. Studies, 65 (1998), 165–183 | MR | Zbl

[7] De Groot M. H., Optimal Statistical Decisions, Mir, M., 1974 (in Russian) | MR | Zbl

[8] Gubar E. A., Kumacheva S. Sh., Zhitkova E. M., Porokhnyavaya O. Yu., “Propagation of information over the network of taxpayers in the model of tax auditing”, Proceedings, IEEE Conference Publications, International Conference on Stability and Control Processes in Memory of V.I. Zubov, (SCP 2015), 2015, 244–247 | MR

[9] Gubar E., Kumacheva S., Zhitkova E., Porokhnyavaya O., “Impact of Propagation Information in the Model of Tax Audit”, Recent advances in game theory and applications, “Static Dynamic Game Theory: Foundations Applications”, Birkhauser, Springer, 2016, 91–110 | MR | Zbl

[10] Gubar E., Kumacheva S., Zhitkova E., Kurnosykh Z., “Evolutionary Behavior of Taxpayers in the Model of Information Dissemination”, Constructive Nonsmooth Analysis and Related Topics, CNSA 2017, Dedicated to the Memory of V.F. Demyanov, Proceedings, IEEE Conference Publications, 2017, 1–4 | Zbl

[11] Gubar E., Kumacheva S., Zhitkova E., Kurnosykh Z., Skovorodina T., “Modelling of Information Spreading in the Population of Taxpayers: Evolutionary Approach”, Contributions to Game Theory and Management, 10 (2017), 100–128 | MR

[12] Gubar E., Kumacheva S., Zhitkova E., Tomilina G., “Modelling of the impact of information on tax audits on the risk statuses and evasions of individuals”, Vestnik SPbGU, 15:2 (2019), 245–258 (in Russian) | MR

[13] Gubar E., Kumacheva S., Zhitkova E., Tomilina G., Sanchez Carrera E. J., “Games and network structures on corruption, income inequality, and tax control”, Contributions to Game Theory and Management, 13 (2020), 152–172

[14] Kendall M. G., Stuart A., Distribution Theory, Nauka, M., 1966 (in Russian) | MR | Zbl

[15] Kumacheva S. Sh., “Tax Auditing Using Statistical Information about Taxpayers”, Contributions to Game Theory and Management, 5 (2012), 156–167 | MR | Zbl

[16] Kumacheva S. Sh., Gubar E. A., “Evolutionary model of tax auditing”, Contributions to Game Theory and Management, 8 (2015), 164–175 | MR

[17] Kumacheva S., Gubar E., Zhitkova E., Tomilina G., “Evolution of Risk-Statuses in One Model of Tax Control”, Frontiers of Dynamic Games, 2018, 121–138, Birkhauser, Cham | MR | Zbl

[18] Kumacheva S., Gubar E., Zhitkova E., Tomilina G., “Modeling the behaviour of Economic Agents as a Response to Information on Tax Audits”, Modeling and Simulation of Social-Behavioral Phenomena in Creative Societies, First International EURO Mini Conference (MSBC 2019) Proceedings, eds. Agarwal N., Sakalauskas L., Weber G.-W., Springer International Publishing, 2019, 96–111

[19] Kumacheva S., Gubar E., Zhitkova E., Tomilina G., “Analysis of Economic Behaviour in Evolutionary Model of Tax Control Under Information Diffusion”, Frontiers of Dynamic Games. Static Dynamic Game Theory: Foundations Applications, Birkhauser, Verlag AG, 2020, 121–140 | MR

[20] Macho-Stadler I., Perez-Castrillo J. D., “Auditing with signals”, Economica, 02 (2002), 1–20

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

[22] Niazashvili A., Individual differences in risk propensity in different social situations of personal development, Moscow University for the Humanities, M., 2007

[23] Riehl J. R., Cao M., “Control of Stochastic Evolutionary Games on Networks”, 5th IFAC Workshop on Distributed Estimation and Control in Networked Systems (Philadelphia, PA, United States, 2015), 458–462 | Zbl

[24] Samuelson P., Nordhaus W., Economics, Williams, M., 2007 (in Russian)

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

[26] Vasin A., Morozov V., The Game Theory and Models of Mathematical Economics, MAKSpress, M., 2005 (in Russian)

[27] Zellner A., Bayesian Analysis in Econometrics and Statistics: The Zellner View and Papers, Edward Elgar, 1997 | MR

[28] The web-site of the Russian Federation State Statistics Service, , 2019 http://www.gks.ru/

[29] The web-site of the Russian Federal Tax Service, , 2019 https://www.nalog.ru/