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The Two Level Cooperation in a Class of n-Person Differential Games. / Petrosyan, Leon; Yeung, David W.K.
в: IFAC-PapersOnLine, Том 51, № 32, 01.01.2018, стр. 585-587.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The Two Level Cooperation in a Class of n-Person Differential Games
AU - Petrosyan, Leon
AU - Yeung, David W.K.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In this paper, we consider a coalitional partition of a set of players, N, in which each coalition Si ⊂ N, i = 1,..., m (Si ∩ Si = 0), i ≠ j of players plays against the other coalitions in a nonzero sum cooperative differential game with prescribed duration and non-transferable payoffs. At the same time players within a coalition play a cooperative differential game with prescribed duration and transferrable utility. The solution concept for such type of differential games is proposed and its properties, namely time-consistency or dynamic stability, investigated.
AB - In this paper, we consider a coalitional partition of a set of players, N, in which each coalition Si ⊂ N, i = 1,..., m (Si ∩ Si = 0), i ≠ j of players plays against the other coalitions in a nonzero sum cooperative differential game with prescribed duration and non-transferable payoffs. At the same time players within a coalition play a cooperative differential game with prescribed duration and transferrable utility. The solution concept for such type of differential games is proposed and its properties, namely time-consistency or dynamic stability, investigated.
KW - Coalitional partition
KW - cooperative TU differential game
KW - Pareto-optimality
KW - payoff distribution procedure
KW - time-consistency
KW - BLOCS
KW - TRADE
UR - http://www.scopus.com/inward/record.url?scp=85058210748&partnerID=8YFLogxK
U2 - 10.1016/j.ifacol.2018.11.486
DO - 10.1016/j.ifacol.2018.11.486
M3 - Article
AN - SCOPUS:85058210748
VL - 51
SP - 585
EP - 587
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
SN - 2405-8971
IS - 32
ER -
ID: 36934648