Research output: Contribution to journal › Article › peer-review
Cooperative differential ganes with pairwise interactions in pollution control problems. / Хе, Ян.
In: Contributions to Game Theory and Management, Vol. 16, 31.12.2023, p. 295-304.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Cooperative differential ganes with pairwise interactions in pollution control problems
AU - Хе, Ян
PY - 2023/12/31
Y1 - 2023/12/31
N2 - This paper establishes a new class of dynamic games which contain two phenomena often observed in real life, differential network games and pairwise interactions. It is assumed that the vertices of the network are players, and the edges are connections between them. By cooperation, a particular type of characteristic function is introduced. Then, the cooperative solutions are constructed, proportional solution and the shapley value. Finally, the results are illustrated by an example.
AB - This paper establishes a new class of dynamic games which contain two phenomena often observed in real life, differential network games and pairwise interactions. It is assumed that the vertices of the network are players, and the edges are connections between them. By cooperation, a particular type of characteristic function is introduced. Then, the cooperative solutions are constructed, proportional solution and the shapley value. Finally, the results are illustrated by an example.
KW - dynamic network games
KW - pairwise interactions
KW - characteristic function
KW - shapley value
U2 - 10.21638/11701/spbu31.2023.18
DO - 10.21638/11701/spbu31.2023.18
M3 - Article
VL - 16
SP - 295
EP - 304
JO - Contributions to Game Theory and Management
JF - Contributions to Game Theory and Management
SN - 2310-2608
ER -
ID: 122754212