David W.K. Yeung, Leon A. Petrosyan, Cooperative-trajectory characteristic function in network differential games with terminal payoffs, Vol. 2025 (2025), Article ID 15, pp. 1-12

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DOI: 10.23952/cot.2025.15

Received October 8, 2023; Accepted February 3, 2024; Published online December 30, 2024

 

Abstract. This paper extends the cooperative-trajectory characteristic function approach to differential network games with terminal payoffs. We derive the corresponding dynamic Shapley value solution and imputation distribution procedure. The salient features of this type of characteristic function include measuring the marginal contributions of individual players are evaluated based on their cooperative actions/strategy, and the simplicity in evaluating the cooperative-trajectory characteristic function. This expands the application of the approach to a much wider class of games, especially real-life games that involve a sizable number of players and terminal payoffs.

 

How to Cite this Article:
D.W.K. Yeung, L. A. Petrosyan, Cooperative-trajectory characteristic function in network differential games with terminal payoffs, Commun. Optim. Theory 2025 (2025) 15.