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

Mat. Teor. Igr Pril., 2022 Volume 14, Issue 3, Pages 45–74 (Mi mgta307)

Two-stage game-theoretic model of inspection and embezzlement in a three-level control system

Suriya Sh. Kumacheva, Ivan M. Orlov

Saint Petersburg State University

Abstract: The subhierarchical two-stage game-theoretic model of embezzlement and bribery is designed, the particular example based on the scheme with six officials on three levels is solved. Theoretic conditions and numerical corruption minimization settings are suggested. The cooperative extension is proposed and the computer simulation is carried out for two different approaches to the isolated components, the results analyzed for stability.

Keywords: corruption, embezzlement, hierarchical game, inspection, bribery, cooperative games, core, Myerson value.

UDC: 519.83
BBK: 22.18

Received: 18.02.2022
Revised: 29.06.2022
Accepted: 12.09.2022



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© Steklov Math. Inst. of RAS, 2025