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

Authors

  • Nataliia Kondratieva Zaporizhzhia National University https://orcid.org/0000-0002-6994-2536
  • Viktoriia Leontieva Zaporizhzhia National University https://orcid.org/0000-0002-9863-9712
  • Katerina Pazinich Zaporizhzhia National University
  • Arseniy Zhelobetskiy Zaporizhzhia National University
  • Hennadii Usatenko Zaporizhzhia National University
  • Oleksandr Gorbachov Zaporizhzhia National University

DOI:

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

Keywords:

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

Abstract

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

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References

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

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Published

2025-04-30

How to Cite

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

Issue

No. 31-02 (2025)

Section

Articles

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