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JAIT 2025 Vol.16(12): 1746-1757
doi: 10.12720/jait.16.12.1746-1757

A Model for Financing the Process of Education Informatization, Taking into Account Computer Security within the Framework of a Differential Quality Game

Arkadii Chikrii 1, Kaiyrbek Makulov 2, Volodimir Malyukov 1, Berik Akhmetov 2, Valerii Lakhno 3, Inna Malyukova 4, and Bagdat Yagaliyeva 5,6,*
1. Department of Optimization of Controlled Processes of the V. M. Glushkov, Institute of Cybernetics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
2. Department of Computer Science, Caspian University of Technology and Engineering Named after Sh. Yessenov, Aktau, Kazakhstan
3. Department of Computer Systems and Networks, National University of Life and Environmental Sciences of Ukraine, Kyiv, Ukraine
4. Rating Agency “Expert-Rating”, Lead Analyst, Kyiv, Ukraine
5. Global Education and Training, School at Illinois, University of Illinois at Urbana Champaign, Champaign, Illinois, USA
6. Department of Cybersecurity, Information Processing and Storage, Satbayev University, Almaty, Kazakhstan
Email: g.chikrii@gmail.com (A.C.); kaiyrbek.makulov@yu.edu.kz (K.M.); volod.malyukov@gmail.com (V.M.); berik.akhmetov@yu.edu.kz (B.A.); lva964@nubip.edu.ua (V.L.); imalyukova82@gmail.com (I.M.); bagdaty@illinois.edu, b.yagaliyeva@satbayev.university (B.Y.)
*Corresponding author

Manuscript received June 12, 2025; revised June 26, 2025; accepted September 2, 2025; published December 12, 2025.

Abstract—This article proposes a game-theoretic model for financing education informatization, incorporating Cyber Security (CS) considerations within a university context. The model formalizes the financial interactions between stakeholders, addressing the critical interdependence between educational quality and cybersecurity. This interdependence necessitates optimized resource allocation to establish a secure and innovative educational environment. The core challenge investigated is the strategic balance between investments in digitalization and the costs of associated information security measures. The novelty of our approach lies in applying a differential quality game with a bilinear structure, where the participants’ financial states are governed by a system of differential equations. Classical methods for solving linear differential games are inapplicable here, as the bilinear structure prevents the use of the Cauchy formula to solve the system. Furthermore, the positional differential game approach is also unsuitable, as the model permits the use of non-measurable controls by an opponent. These mathematical challenges underscore the work’s significance, contributing not only as a tool for CS policy but also through its theoretical advancements. Within this framework, the model identifies player preference sets and optimal strategies, findings which are validated through a computational experiment. The visualization of the preference set for the first player—the Computer Security Center (CSC)—demonstrates the model’s practical utility in resolving financing dilemmas for education informatization amid cybersecurity constraints. The study’s impact lies in providing a robust analytical tool for developing optimal resource allocation strategies. This contributes significantly to the sustainable development of Higher Education (HE) systems navigating digital transformation and escalating cyber threats.
 
Keywords—higher education, informatization, cybersecurity, game theory, scenarios, resources, optimal strategy

Cite: Arkadii Chikrii, Kaiyrbek Makulov, Volodimir Malyukov, Berik Akhmetov, Valerii Lakhno, Inna Malyukova, and Bagdat Yagaliyeva, "A Model for Financing the Process of Education Informatization, Taking into Account Computer Security within the Framework of a Differential Quality Game," Journal of Advances in Information Technology, Vol. 16, No. 12, pp. 1746-1757, 2025. doi: 10.12720/jait.16.12.1746-1757

Copyright © 2025 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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