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Construction of dynamically stable solutions in differential network games
Author(s)
Date Issued
2020
ISBN
9783030428303
9783030428310
Citation
In Tarasyev, A., Maksimov, V., & Filippova, T. (eds.) (2020). Stability, control and differential games: proceedings of the international conference "stability, control, differential games" (pp. 51-61).
Type
Conference Paper
Abstract
This paper presents a novel measure of the worth of coalitions—named as a cooperative-trajectory characteristic function—to generate a time-consistent Shapley value solution in a class of network differential games. This new class of characteristic function is evaluated along the cooperative trajectory. It measures the worth of coalitions under the process of cooperation instead of under minmax confrontation or Nash non-cooperative stance. The resultant time-consistent Shapley value calibrates the marginal contributions of individual players to the grand coalition payoff based on their cooperative actions/strategy. The cooperative-trajectory characteristic function is also time consistent and yields a new cooperative solution in network differential games.
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