Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Two Level Cooperation in Dynamic Network Games with Partner Sets. / Petrosyan, Leon; Pankratova, Yaroslavna.
Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings. ed. / Panos Pardalos; Michael Khachay; Vladimir Mazalov. Springer Nature, 2022. p. 250-263 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13367 LNCS).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
}
TY - GEN
T1 - Two Level Cooperation in Dynamic Network Games with Partner Sets
AU - Petrosyan, Leon
AU - Pankratova, Yaroslavna
N1 - Publisher Copyright: © 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - In the presented paper, we consider dynamic network games with partner sets in which players cooperate to get the best outcomes. Using the game structure the two-level cooperative scheme is introduced. On the first level, the partner sets are considered as players, and the cooperative behavior is used in the game with partner sets, it is assumed that partners intend to maximize their joint payoff and then distribute it using a given optimality principle as usual in cooperative game theory. On the second level, the gain obtained by each player (partner set) is distributed among members of this partner set. The distribution of this gain is also made based on solution concepts from classical cooperative game theory. Since the game is dynamic the problem of time-consistency (dynamic stability) of the proposed two-level solution arises. To simplify the calculations the new characteristic function is introduced based on the possibility of cutting connections by players outside the coalition. Also, this newly defined characteristic function allows construction of time-consistent (dynamically stable) solutions.
AB - In the presented paper, we consider dynamic network games with partner sets in which players cooperate to get the best outcomes. Using the game structure the two-level cooperative scheme is introduced. On the first level, the partner sets are considered as players, and the cooperative behavior is used in the game with partner sets, it is assumed that partners intend to maximize their joint payoff and then distribute it using a given optimality principle as usual in cooperative game theory. On the second level, the gain obtained by each player (partner set) is distributed among members of this partner set. The distribution of this gain is also made based on solution concepts from classical cooperative game theory. Since the game is dynamic the problem of time-consistency (dynamic stability) of the proposed two-level solution arises. To simplify the calculations the new characteristic function is introduced based on the possibility of cutting connections by players outside the coalition. Also, this newly defined characteristic function allows construction of time-consistent (dynamically stable) solutions.
KW - Dynamic network game
KW - Partner set
KW - Shapley value
UR - http://www.scopus.com/inward/record.url?scp=85134187788&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/3dae07b3-fd66-3f62-92f7-982ac4665ae8/
U2 - 10.1007/978-3-031-09607-5_18
DO - 10.1007/978-3-031-09607-5_18
M3 - Conference contribution
AN - SCOPUS:85134187788
SN - 9783031096068
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 250
EP - 263
BT - Mathematical Optimization Theory and Operations Research - 21st International Conference, MOTOR 2022, Proceedings
A2 - Pardalos, Panos
A2 - Khachay, Michael
A2 - Mazalov, Vladimir
PB - Springer Nature
T2 - 21st International Conference on Mathematical Optimization Theory and Operations Research , MOTOR 2022
Y2 - 2 July 2022 through 6 July 2022
ER -
ID: 97538892