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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2024 Volume 16, Issue 3, Pages 14–26 (Mi mgta351)

Models of optimal organization of the tax inspection

Alexander A. Vasin, Nikita I. Tsyganov

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Abstract: The problem of optimal organization of the state inspection with an honest head and rational inspectors is considered. The audit schemes are being investigated, in which the honest behavior of taxpayers and auditors turns out to be resistant to deviations from their coalitions. In addition to hierarchical structures, a three-stage scheme with cross-checking is considered. It has been proven that cross-checking is never optimal. The minimum audit costs for 2- and 3-level structures have been determined. The best option is specified depending on the model parameters.

Keywords: corruption, hierarchical structures, game-theoretic models.

UDC: 519.833
BBK: 22.18

Received: 02.09.2024
Revised: 15.09.2024
Accepted: 16.09.2024



© Steklov Math. Inst. of RAS, 2026