Publications

Scientific publications

А.Ф. Клейменов.
Гибридная задача динамического управления с тремя участниками при наличии альтруистического и агрессивного типов поведения
// Математическая Теория Игр и ее Приложения, т. 13, в. 4. 2021. C. 18-41
Keywords: hybrid control problem, non-antagonistic differential game of two and three persons, altruistic and aggressive types of behavior, Nash solutions, BT-solutions
The paper is close to [5] where a two-step hybrid dynamic control problem with three participants was considered; it was shown that in some cases it is profitable for the owner of management resources to sell a part of them to another participant(s) (assuming that the payoffs are transferable). This paper is also close to [4] where aggressive and altruistic types of behavior were allowed for the participants in three players differential game; then the players can apply the so-called BT-solutions which are better than the Nash ones. The developed in this paper approach is illustrated by a two-step control problem on a plane with the dynamics of simple motions in the presence of altruistic and aggressive behavior types.
Indexed at RSCI, RSCI (WS)

vol13_4_018-41_kleimenov.pdf (337 Kb, total downloads: 83)

Last modified: December 23, 2021