Shapley value for differential network games: Theory and application

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
L. Petrosyan, D. Yeung
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引用次数: 8

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.
差分网络博弈的Shapley值:理论与应用
本文提出了一类微分网络博弈的时间一致动态Shapley值估计方法。针对Shapley值归算,提出了一种新的衡量联盟价值的形式——合作轨迹特征函数。这类新的特征函数沿着合作轨迹进行了评估。它衡量的是联盟在合作过程中的价值,而不是在最小-最大对抗或纳什非合作立场下的价值。由此得到的动态Shapley值输入给出了差分网络博弈的一种新的合作解。
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来源期刊
Journal of Dynamics and Games
Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
2.00
自引率
0.00%
发文量
26
期刊介绍: The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.
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