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Shapley value for differential network games: Theory and application
Author(s)
Date Issued
2021
Journal
ISSN
2164-6074
2164-6066
Citation
Journal of Dynamics & Games, Apr. 2021, vol. 8(2), pp. 151-166.
Type
Peer Reviewed Journal Article
Abstract
This paper presents a time-consistent dynamic Shapley value imputation for a class of differential network games. A novel form for measuring the worth of coalitions – named as cooperative-trajectory characteristic function – is developed for the Shapley value imputation. This new class of characteristic functions is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under min-max confrontation or the Nash non-cooperative stance. The resultant dynamic Shapley value imputation yields a new cooperative solution in differential network games.
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