Cooperative Differential Games with Pairwise Interactions in Pollution Control Problems
Abstract
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
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Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
