Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Dynamic Cooperative Games on Networks. / Petrosyan, Leon; Yeung, David; Pankratova, Yaroslavna.
Mathematical Optimization Theory and Operations Research: Recent Trends - 20th International Conference, MOTOR 2021, Revised Selected Papers. ред. / Alexander Strekalovsky; Yury Kochetov; Tatiana Gruzdeva; Andrei Orlov. Springer Nature, 2021. стр. 403-416 (Communications in Computer and Information Science; Том 1476 CCIS).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Dynamic Cooperative Games on Networks
AU - Petrosyan, Leon
AU - Yeung, David
AU - Pankratova, Yaroslavna
N1 - Conference code: 20
PY - 2021
Y1 - 2021
N2 - A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbours in each time instant of the game. This gives the possibility to compute the values of characteristic function for each coalition as a joint payoff of players from this coalition without payments induced by actions of players outside the coalition. Thus the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value and others. Also, it is proved that the proposed characteristic function is convex and as a result, the Shapley value belongs to the core.
AB - A class of cooperative differential games on networks is considered. It is supposed that players have the possibility to cut connections with neighbours in each time instant of the game. This gives the possibility to compute the values of characteristic function for each coalition as a joint payoff of players from this coalition without payments induced by actions of players outside the coalition. Thus the characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minimax confrontation or the Nash non-cooperative stance. The approach essentially simplifies the construction of the characteristic function and cooperative solutions such as the Shapley value and others. Also, it is proved that the proposed characteristic function is convex and as a result, the Shapley value belongs to the core.
KW - Differential network game
KW - Shapley value
KW - Time consistency
KW - τ -value
UR - http://www.scopus.com/inward/record.url?scp=85115868828&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/ab77e91e-b440-3b38-a9ff-99a64b263d2f/
U2 - 10.1007/978-3-030-86433-0_28
DO - 10.1007/978-3-030-86433-0_28
M3 - Conference contribution
AN - SCOPUS:85115868828
SN - 9783030864323
T3 - Communications in Computer and Information Science
SP - 403
EP - 416
BT - Mathematical Optimization Theory and Operations Research
A2 - Strekalovsky, Alexander
A2 - Kochetov, Yury
A2 - Gruzdeva, Tatiana
A2 - Orlov, Andrei
PB - Springer Nature
T2 - 20th International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2021
Y2 - 5 July 2021 through 10 July 2021
ER -
ID: 86492661