MATHEMATICAL MODEL OF COORDINATED INTERACTION BETWEEN PARTICIPANTS IN THE DESIGN PROCESS OF INTELLIGENT INFORMATION SYSTEMS
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Author(s): | Glukhova L. V., Gudkov A. A., |
| Number of journal: | 2(75) | Date: | June 2026 |
| Annotation: | The article is devoted to the development of mathematical tools for managing the design process of intelligent information and analytical systems (IIAS). In the context of the transition to a data economy, IT projects are characterized by high uncertainty and risks of cost overruns, driven by the active behavior of participants and information asymmetry between the project manager (the Center) and the executors (the Agents). The methodological framework of the study is a synthesis of the theory of active systems, as developed in the works of V.N. Burkov and D.A. Novikov, and cooperative game theory with transferable utility. Within a normative approach, the authors formalize IIAS design as a two-level hierarchical system. The core research method is mechanism design, which facilitated the development of a system of equations linking planned labor intensity indicators, the actual state of executors, and stimulating impacts. Unlike traditional models, this method accounts for the stochastic nature of R&D and the non-linearity of intellectual capital contribution. The primary result is the synthesis of a non-linear incentive mechanism that satisfies the conditions of individual rationality and incentive compatibility. The application of the revelation principle allowed for a mathematical proof that reporting true information regarding algorithmic complexity becomes a dominant strategy for the Agent. This neutralizes the effects of data manipulation and eliminates excessive information rent. The scientific novelty lies in the adaptation of game-theoretic models to the specifics of science-intensive software, including the consideration of learning risks and context-switching penalties. The practical significance consists in the development of a methodology that enables IT organizations to improve the accuracy of metric estimations (supplementing COCOMO II and FPA methods) and minimize transaction costs by automating the control of interest coordination. | ||
| Keywords: | theory of active systems, coordinated interaction, mathematical management model, intelligent systems design, incentive mechanism, game theory, IT project management, single-level system, cost minimization, information asymmetry |
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| For citation: | Glukhova L. V., Gudkov A. A. Mathematical model of coordinated interaction between participants in the design process of intelligent information systems. Biznes. Obrazovanie. Pravo = Business. Education. Law. 2026;2(75):13—21. DOI: 10.25683/VOLBI.2026.75.1628. |
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