Scientific publications

М.А. Горелов.

Модель двухуровневой иерархической системы с некооперативным поведением элементов нижнего уровня

// Математическая Теория Игр и ее Приложения, т. 14, в. 4. 2022. C. 45-68

Mikhail A. Gorelov. A model of a two-level hierarchical system with non-cooperative behavior of lower-level elements // Mathematical game theory and applications. Vol 14. No 4. 2022. Pp. 45-68

Keywords: hierarchical games, maximal guaranteed result, Nash equilibrium

One of the possible generalizations for the case of many persons of the classical hierarchical Germeier game is investigated. It is assumed that lower-level players tend to Nash equilibrium situations. The solution of the corresponding problem for games without feedback is given. An example is constructed demonstrating the fundamental difficulties encountered in the study of a game with feedback. A meaningful example is considered in which the proposed constructions adequately describe reality.

DOI: 10.17076/mgta_2022_4_61

Indexed at RSCI, RSCI (WS)

vol14_4_45_gorelov.pdf (411 Kb, total downloads: 58)

Last modified: January 19, 2023