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Search for ways to resolve conflicts using the Monte Carlo method

https://doi.org/10.55648/1998-6920-2025-19-3-95-110

Abstract

The paper describes a general approach to finding ways to resolve conflict situations with discrete mismatch using a mathematical apparatus. Within the framework of mathematical modeling of conflicts, a general method for constructing a conflict function for each subject participating in the conflict has been developed. The main tasks of conflict resolution have been identified. Using the example of two subjects participating in the conflict, the conditions have been obtained that link the dissatisfaction functions of the subjects, under which the considered problems of conflict resolution will have a solution. The application of the Monte Carlo method to the search for a solution to conflict situations with discrete disagreement for each conflict resolution task has been shown. The considered approach to constructing a dissatisfaction function described using individual psychological characteristics of a person involved in a conflict allows one to better understand the causes of a conflict and make the right decision on resolving a conflict situation. The identified main problems of conflict resolution from the point of view of mathematical modeling of conflicts and the given diagram for constructing the objective function for these tasks can be applied to any type of conflict of any complexity.

About the Author

Ekaterina Sergeevna Antipova
State University of Management
Russian Federation
Senior Lecturer at the Department of Mathematical Methods in Economics and Management


References

1. Sunami A. N. Ehtika «tsifrovogo obshchestva»: novyi konflikt ili novyi balans [Ethics of the "Digi-tal Society": New Conflict or New Balance]. Vestnik Sankt-Peterburgskogo universiteta. Filosofiya i konfliktologiya. 2023, 39 (3), 544–556.

2. Stepanov V. G., Kolesnik E. A. Sotsial'nyi konflikt i napryazhennost' v botchiest v usloviyakh real-izatsii proekta tsifrovizatsii gorodskogo khozyaistva" Umnyi gorod" [Social conflict and tension in society in the context of the implementation of the digitalization project of urban economy "Smart City"]. Izvestiya vysshikh uchebnykh zavedenii. Sotsiologiya. Ehkonomika. Politika. 2021, no. 1, 115-130.

3. Nestik T. A. Vliyanie voennykh konfliktov na psikhologicheskoe sostoyanie obshchestva: perspek-tivnye napravleniya issledovanii [The influence of military conflicts on the psychological state of society: promising areas of research]. Sotsial'naya psikhologiya i obshchestvo. 2023, 14(4), 5-22.

4. Solomatina E. N. Novye formy sotsial'nykh conflictive v sisteme vysshego obrazovaniya Rossii [New forms of social conflicts in the system of higher education in Russia. Vestnik Moskovskogo universiteta. Seriya 18. Sotsiologiya i politologiya. 2021, 27(1), 188-208.

5. Gurieva S. D. i dr. Intellektual'nyi kontsept peregovornykh protsessov [Intellectual concept of ne-gotiation processes]. Sibirskii psikhologicheskii zhurnal. 2024, 93, 155-169.

6. Nikitina YU., Taran K. Mirovye praktiki mediatsii v konfliktakh v tsifrovuyu ehpokhu [Global Prac-tices of Conflict Mediation in the Digital Age]. Puti k miru i bezopasnosti. 2021. №. 1 (60). S. 11-28.

7. Ivanova E. i dr. Teoreticheskie osnovy meditativno-peregovornykh tekhnologii uregulirovaniya konflikta [Theoretical foundations of meditative-negotiation technologies for conflict resolution]. Vestnik Sankt-Peterburgskogo universiteta. Filosofiya i konfliktologiya. 2022, 38(4), 581-593.

8. Du, J.; Liu, S.; Liu, Y.; Yi, J. A novel approach to three-way conflict analysis and resolution with Pythagorean fuzzy information. Inf. Sci. 2022, 584, 65–88.

9. Lang, G.; Yao, Y. Formal concept analysis perspectives on three-way conflict analysis. Int. J. Ap-prox. Reason. 2023, 152, 160–182.

10. Vitanov N. K., Dimitrova Z. I., Ausloos M. Verhulst–Lotka–Volterra (VLV) model of ideological struggle // Physica A: Statistical Mechanics and its Applications. 2010. Т. 389. №. 21. С. 4970-4980.

11. Nazir A., Abbas N., Shatanawi W. On stability analysis of a mathematical model of a society con-fronting with internal extremism // International Journal of Modern Physics B. 2023. Т. 37. №. 07. С. 2350065.

12. Evseev V. O. Metodologiya primenenie ehkspertnykh sistem dlya analiza regional'nykh konfliktov [Methodology of application of expert systems for analysis of regional conflicts]. TSITISEH. 2021, 3, 65-78.

13. Nefedova YU. S., Vartanova E. L., Anikina M. E. Matematicheskaya model' reprezentatsii sotsi-al'nogo konflikta: sozdanie i aprobatsiya na korpuse tekstov [Mathematical model of representa-tion of social conflict: creation and testing on a corpus of texts]. Prezident. 2024, Vol. 18, p. 23.

14. Bandejkina N. N., Kryukova T. V. Ob odnom podkhode k otsenke konfliktologicheskoi kompe-tentnosti rukovoditelya metodom matematicheskogo modelirovaniya [On one approach to as-sessing the conflictological competence of a manager using the method of mathematical modeling. Vestnik Sankt-Peterburgskogo universiteta. Filosofiya i konfliktologiya. 2021, 37(1), 106-117.

15. Antipova E. S. Matematicheskoe modelirovanie konfliktov. [Mathematical modeling of conflicts]. Vestnik Yugorskogo gosudarstvennogo universiteta. 2023; 4, 41-56. DOI 10.18822/byusu20230441-56.

16. Antipova E. S. Diskretnaya dinamicheskaya model' konfliktov [Discrete dynamic model of con-flicts].Izvestiya Yugo-Zapadnogo gosudarstvennogo universiteta. Seriya: Ehkonomika. Sotsiologi-ya. Menedzhment. 2024, 14(1), 283-296.

17. Ganicheva A. V., Ganichev A. V. Priblizhennyi metod optimizatsii zadach nelineinogo program-mirovaniya [Approximate method for optimization of nonlinear programming problems]. Priklad-naya matematika i voprosy upravleniya. 2022, 4, 9-25.

18. Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953). Equation of state calculations by fast computing machines. The journal of chemical physics, 21(6), 1087-1092.


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For citations:


Antipova E.S. Search for ways to resolve conflicts using the Monte Carlo method. The Herald of the Siberian State University of Telecommunications and Information Science. 2025;19(3):95-110. (In Russ.) https://doi.org/10.55648/1998-6920-2025-19-3-95-110

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ISSN 1998-6920 (Print)