AUTOMATION OF THE PROCESS OF STUDYING CONFLICT SITUATIONS AND SOLVING GAME THEORY PROBLEMS WITH LINEAR PROGRAMMING METHODS

Автор(и)

  • Наталія Кондратьєва Zaporizhzhia National University https://orcid.org/0000-0002-6994-2536
  • Вікторія Леонтьєва Zaporizhzhia National University https://orcid.org/0000-0002-9863-9712
  • Катерина Пазініч Zaporizhzhia National University
  • Арсеній Желобецький Zaporizhzhia National University
  • Геннадій Усатенко Zaporizhzhia National University
  • Олександр Горбачов Zaporizhzhia National University

DOI:

https://doi.org/10.30888/2663-5712.2025-31-02-081

Ключові слова:

conflict situation, matrix game, mixed strategies, game theory, linear programming, automation, software

Анотація

The research focuses on the automation of analyzing conflict situations through the effective solution of game theory problems. The article presents and substantiates a methodology for reducing mixed-strategy matrix games to linear programming problems. W

Metrics

Metrics Loading ...

Посилання

Samuel G. O., Ekoko P. O. (2024). Formulation of game model as a linear programming problem using various models. African Journal of Mathematics and Statistics Studies, issue 2, vol. 7, pp. 79–95.

DOI: 10.52589/AJMSS-XHFXSZP7

Wolford S. (2019). The Politics of the First World War: A Course in Game Theory and International Security. Cambridge: Cambridge University Press. 464 p.

DOI: 10.1017/9781108349956

Itchhaporia D. (2022). Game Theory, Health Care, and Economics. Journal of the American College of Cardiology, issue 15, vol. 79, pp. 1542–1543.

DOI: 10.1016/j.jacc.2022.03.331

Djulbegovic B, Hozo I, Ioannidis J. (2015). Modern health care as a game theory problem: reply. European Journal of Clinical Investigation, issue 4, vol. 45,

p.

DOI: 10.1111/eci.12414

McNamara J. M., Leimar O. (2020). Game Theory in Biology. Oxford: Oxford University Press. 352 p.

DOI: 10.1093/oso/9780198815778.001.0001

McNamara J. M. (2013). Towards a richer evolutionary game theory. Journal of The Royal Society Interface, issue 88, vol. 10, 20130544.

DOI: 10.1098/rsif.2013.0544

Samuelson L. (2016). Game Theory in Economics and Beyond. Journal of Economic Perspectives, issue 4, vol. 30, pp. 107–30.

DOI: 10.1257/jep.30.4.107

Leimar O., McNamara J. M. (2023). Game theory in biology: 50 years and onwards. Philosophical Transactions B, issue 1876, vol. 378, 20210509.

DOI: 10.1098/rstb.2021.0509

Frahm G. (2019). Rational Choice and Strategic Conflict: The Subjectivistic Approach to Game and Decision Theory. Berlin: De Gruyter, 2019. 340 p.

DOI: 10.4000/oeconomia.8322

Maschler M., Solan E., Zamir S. (2013). Game Theory. Cambridge: Cambridge University Press. 352 p.

DOI: 10.1017/CBO9780511794216

Downloads

Опубліковано

2025-04-30

Як цитувати

Кондратьєва, Н., Леонтьєва, В., Пазініч, К., Желобецький, А., Усатенко, Г., & Горбачов, О. (2025). AUTOMATION OF THE PROCESS OF STUDYING CONFLICT SITUATIONS AND SOLVING GAME THEORY PROBLEMS WITH LINEAR PROGRAMMING METHODS. SWorldJournal, 2(31-02), 26–37. https://doi.org/10.30888/2663-5712.2025-31-02-081

Номер

№ 31-02 (2025)

Розділ

Статті

Ліцензія

Авторське право (c) 2025 Автори

Creative Commons License

Ця робота ліцензується відповідно до Creative Commons Attribution 4.0 International License.