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JAIT 2026 Vol.17(8): 1557-1570
doi: 10.12720/jait.17.8.1557-1570

Multifactorial Model of the Confrontation of Financial Resources of the Parties in Targeted Attacks

Valerii Lakhno 1, Volodimir Malyukov 1, Inna Malyukova 2, Bakhytzhan Akhmetov 3, Zhuldyz Alimseitova 4,*, and Moldіr Ydyryshbayeva 5,*
1. Department of Computer systems, Networks and Cybersecurity, Faculty of Information Technology,
National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine
2. Rating Agency “Expert-rating”, Kyiv, Ukraine
3. Department of Informatics and Informatization of Education, Institute of Mathematics, Physics and Computer Science, Kazakh National Pedagogical University named after Abai, Almaty, Kazakhstan
4. Department of Cybersecurity, Satbayev University, Almaty, Kazakhstan
5. Department of Information Systems, Faculty of Information Technology, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Email: valss21@ukr.net (V.L.); volod.malyukov@gmail.com (V.M.); imalyukova82@gmail.com (I.M.); bakhytzhan.akhmetov.54@mail.ru (B.A.); zhuldyz_al@mail.ru (Z.A.); moldir.ydyryshbaeva@gmail.com (M.Y.)
*Corresponding author

Manuscript received February 23, 2026; revised March 18, 2026; accepted May 29, 2026; published August 19, 2026.

Abstract—A multifactorial model of countering targeted attacks (Advanced Persistent Threats (APT) attacks) is considered in the context of available financial resources within the framework of a bilinear multistep quality game with several terminal surfaces. The distinguishing feature of the proposed model is its incorporation of multivariance in financial strategies for safeguarding against APT attacks and counterattacks, which is manifested in the dynamics of interaction between opposing sides. This facilitates the consideration of the overarching problem of cyber defense within the framework of the game scheme, encompassing the tasks of countering APT attacks with the financial resources available to the defense side. The proposed solution to the problem entailed the implementation of a bilinear multistep game of the quality of multidimensional objects. The resolution of quality issues, considering their multidimensionality and the bilinearity of the dynamics of player interaction, is a rather challenging problem. However, the formulated problem was solved in the paper by employing the optimality principle of R. Bellman. The solution was identified within the framework of a positional multistep game scheme with complete information. A comprehensive investigation was conducted to ascertain the optimal strategies for allocating the financial resources of the first player to build a system of protection against targeted attacks. The model delineated in the paper was implemented in the form of a software module of an intelligent information system. The results of a computational experiment that was conducted to test the model’s operability are presented herein.
 
Keywords—multistep quality game, preference set, optimal strategy, targeted cyberattack, financial resources
 
Cite: Valerii Lakhno, Volodimir Malyukov, Inna Malyukova, Bakhytzhan Akhmetov, Zhuldyz Alimseitova, and Moldіr Ydyryshbayeva, "Multifactorial Model of the Confrontation of Financial Resources of the Parties in Targeted Attacks," Journal of Advances in Information Technology, Vol. 17, No. 8, pp. 1557-1570, 2026. doi: 10.12720/jait.17.8.1557-1570

Copyright © 2026 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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