Geodesic
Cooperative Differential Games with Partner Sets on Networks
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 3, pp. 286-295

Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper, the differential games on networks with partner sets are considered. The payoffs of a given player depend on his actions and the actions of the players from his partner set. The cooperative version of the game is proposed, and the special type of characteristic function is introduced. It is proved the constructed cooperative game is convex. Using the properties of the payoff functions and the constructed characteristic function, the Shapley Value and $\\tau$-value are computed. It is also proved that in this special class of differential games the Shapley value is time-consistent.
Keywords: Shapley value; differential network game; time consistency; partner sets. 
@article{TIMM_2021_27_3_a23,
     author = {L. A. Petrosyan and D. Yeung and Y. B. Pankratova},
     title = {Cooperative {Differential} {Games} with {Partner} {Sets} on {Networks}},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {286--295},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2021_27_3_a23/}
}
TY  - JOUR
AU  - L. A. Petrosyan
AU  - D. Yeung
AU  - Y. B. Pankratova
TI  - Cooperative Differential Games with Partner Sets on Networks
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2021
SP  - 286
EP  - 295
VL  - 27
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2021_27_3_a23/
LA  - en
ID  - TIMM_2021_27_3_a23
ER  - 
%0 Journal Article
%A L. A. Petrosyan
%A D. Yeung
%A Y. B. Pankratova
%T Cooperative Differential Games with Partner Sets on Networks
%J Trudy Instituta matematiki i mehaniki
%D 2021
%P 286-295
%V 27
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2021_27_3_a23/
%G en
%F TIMM_2021_27_3_a23
L. A. Petrosyan; D. Yeung; Y. B. Pankratova. Cooperative Differential Games with Partner Sets on Networks. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 3, pp. 286-295. http://geodesic.mathdoc.fr/item/TIMM_2021_27_3_a23/