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. 
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     author = {He Yang},
     title = {Cooperative differential games with pairwise interactions in pollution control problems},
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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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