The article is devoted to development and evolving a theoretical basis for modeling strategic interactions that arise during the R&D project implementation. The relevance of the work lies in increasing the effectiveness of decisions made on the R&D projects management and the corresponding improvement in the quality of research and development. As a result of the study, a basic game-theoretic model of strategic interaction between the R&D project stakeholders has been developed, which is designed to develop particular models of strategic interactions that arise during the R&D project implementation, using a special method, also proposed in the article. Together, the results of the research make it possible to evaluate the equilibrium optimality outcomes of individual strategic interactions, as well as to evaluate the effectiveness of measures to improve their optimality. The results of the study are scientifically novel and are aimed at developing the methodological and instrumental base of game theory in the direction of managing R&D projects

**Keywords:** game theory, management, modeling, optimization, R&D project, stakeholder, strategic interaction

- G. Mavrotas, E. Makryvelios. Combining multiple criteria analysis, mathematical programming and Monte Carlo simulation to tackle uncertainty in Research and Development project portfolio selection: A case study from Greece//European Journal of Operational Research. 2021. V. 2 (291). P. 794–806. doi: 10.1016/j.ejor.2020.09.051.
- A. M. Gintciak. Classification of game-theoretic models in project management: literature review//Applied mathematics and control issues. 2021. V. 3 (2021). P. 130–153. (In Russian). doi: 10.15593/2499–9873/2021.03.07.
- M. O. Ahmed et al. Construction Bidding and the Winner’s Curse: Game Theory Approach//Journal of Construction Engineering and Management. 2016. V. 2 (142). P. 04015076. doi: 10.1061/(ASCE)CO.1943–7862.0001058.
- N. A. Zenkevich, Y. Sokolov, M. V. Fattakhova. Game-Theoretic Modeling of the Project Management Contract//Automation and Remote Control. 2020. V. 11 (81). P. 2094–2107. doi: 10.1134/S0005117920110107.
- S. M. Muegge. A game theory perspective on product development project charters: the project manager — project sponsor relationship as an iterated Prisoner’s Dilemma// International Journal of Project Organisation and Management. 2017. V. 1 (9). P. 57. doi: 10.1504/IJPOM.2017.083115.
- T. Karabiyik et al. Understanding the Interactions between the Scrum Master and the Development Team: A Game-Theoretic Approach//Mathematics. 2020. V. 9 (8). P. 1553. doi: 10.3390/math8091553.
- O. I. Vasilieva, Y. A. Alekseeva, S. G. Redko. The project-based approach in organizing cooperation between business institutions and technical universities in digitalization conditions//Sociology of science and technology. 2022. V. 13 (2). P. 135–149. doi: 10.24412/2079–0910–2022–2-135–149.
- M. Piraveenan. Applications of Game Theory in Project Management: A Structured Review and Analysis//Mathematics. 2019. V. 9 (7). P. 858. doi: 10.3390/math7090858.
- D. A. Zubkova, A. M. Gintciak. Approaches to Modeling Strategic Interactions of Stakeholders for Decision Support in Project Activities//Proceedings of the VI All-Russian scientific and practical conference with foreign participation “Digital transformation of economic systems: problems and prospects (ECOPROM‑2022)”. P. 726–728. (In Russian). doi: 10.18720/IEP/2021.4/226.
- M. J. Osborne. An introduction to game theory/M. J. Osborne, New York: Oxford University Press, 2004. 533 p.
- J. Von Neumann, O. Morgenstern. Theory of games and economic behavior/J. Von Neumann, O. Morgenstern, 60th anniversary ed, Princeton, N. J.; Woodstock: Princeton University Press, 2007. 739 p.
- T. H. Quyet, N. B. Trinh, T. X. Nguyen. Nash Equilibrium Model for Conflicts in Project Management//Journal of Computer Science and Cybernetics. 2019. V. 2 (35). P. 167–184. doi: 10.15625/1813–9663/34/3/13095.
- K. H. Bočková, G. Sláviková, J. Gabrhel. Game Theory as a Tool of Project Management//Procedia — Social and Behavioral Sciences. 2015. V. 213. P. 709–715. doi: 10.1016/j. sbspro.2015.11.491.
- J. R. Wright, K. Leyton-Brown. Predicting human behavior in unrepeated, simultaneous-move games//Games and Economic Behavior. 2017. V. 106. P. 16–37. doi: 10.1016/j. geb.2017.09.009.
- T. Brihaye et al. Dynamics and Coalitions in Sequential Games//Electronic Proceedings in Theoretical Computer Science. 2017. V. 256. P. 136–150. doi: 10.4204/EPTCS.256.10.
- S. Ueda et al. Coalition structure generation in cooperative games with compact representations//Autonomous Agents and Multi-Agent Systems. 2018. V. 4 (32). P. 503–533. doi: 10.1007/s10458–018–9386‑z.
- J.-S. Pang, S. Sen, U. V. Shanbhag. Two-stage non-cooperative games with risk-averse players//Mathematical Programming. 2017. V. 1 (165). P. 235–290. doi: 10.1007/ s10107–017–1148–1.
- A. Odekunle et al. Reinforcement learning and non-zero-sum game output regulation for multi-player linear uncertain systems//Automatica. 2020. V. 112. P. 108672. doi: 10.1016/j. automatica.2019.108672.
- R. Derakhshan, R. Turner, M. Mancini. Project governance and stakeholders: a literature review//International Journal of Project Management. 2019. V. 1 (37). P. 98–116. doi: 10.1016/j.ijproman.2018.10.007.
- Q. Yang, J. Lu, S. Kherbachi. Progress in modeling and optimization for complex R&D project based on design structure matrix//System Engineering Theory and Practice. 2016. V. 36 (4). P. 989–1002. doi: 10.12011/1000–6788 (2016)04–0989–14.
- C. J. M. Victório, H. G. Costa, C. G. de Souza. Modeling selection criteria of R&D projects for awarding direct subsidies to the private sector//Science and Public Policy. 2016. V. 2 (43). P. 275–287. doi: 10.1093/scipol/scu088.
- M. V. Bolsunovskaya et al. Possibilities of using a hybrid approach in modeling socio-economic and socio-technical systems//Bulletin of the Voronezh State University. Series: System Analysis and Information Technology. 2022. V 3. P. 73–86. doi: 10.17308/sait/1995–5499/2022/3/73–86.