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

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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. 
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/
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