Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Coalition and Anti-coalition Interaction in Cooperative Differential Games. / Gromova, Ekaterina V.; Marova, Ekaterina V.
в: IFAC-PapersOnLine, Том 51, № 32, 2018, стр. 479-483.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Coalition and Anti-coalition Interaction in Cooperative Differential Games
AU - Gromova, Ekaterina V.
AU - Marova, Ekaterina V.
N1 - Conference code: 17
PY - 2018
Y1 - 2018
N2 - This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players’ behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.
AB - This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players’ behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.
KW - Behaviour
KW - control applications
KW - control open-loop
KW - cooperation
KW - cooperative control
KW - decision making
KW - differential games
KW - economic design
KW - environment control
KW - payoff functions
UR - http://www.scopus.com/inward/record.url?scp=85058195509&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2018.11.466
DO - 10.1016/j.ifacol.2018.11.466
M3 - статья
AN - SCOPUS:85058195509
VL - 51
SP - 479
EP - 483
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8971
IS - 32
Y2 - 15 October 2018 through 19 December 2018
ER -
ID: 36758914