Geodesic
Cooperative differential games with pairwise interactions in pollution control problems
Contributions to game theory and management, Tome 16 (2023), pp. 295-304

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

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.
Keywords: dynamic network game, pairwise interaction, characteristic function, Shapley value, programming. 
@article{CGTM_2023_16_a18,
     author = {He Yang},
     title = {Cooperative differential games with pairwise interactions in pollution control problems},
     journal = {Contributions to game theory and management},
     pages = {295--304},
     publisher = {mathdoc},
     volume = {16},
     year = {2023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2023_16_a18/}
}
TY  - JOUR
AU  - He Yang
TI  - Cooperative differential games with pairwise interactions in pollution control problems
JO  - Contributions to game theory and management
PY  - 2023
SP  - 295
EP  - 304
VL  - 16
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2023_16_a18/
LA  - en
ID  - CGTM_2023_16_a18
ER  - 
%0 Journal Article
%A He Yang
%T Cooperative differential games with pairwise interactions in pollution control problems
%J Contributions to game theory and management
%D 2023
%P 295-304
%V 16
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2023_16_a18/
%G en
%F CGTM_2023_16_a18
He Yang. Cooperative differential games with pairwise interactions in pollution control problems. Contributions to game theory and management, Tome 16 (2023), pp. 295-304. http://geodesic.mathdoc.fr/item/CGTM_2023_16_a18/