Abstract

We describe a class of differential games on networks and study the problem of constructing cooperative optimality principles using a characteristic function of a special type taking into account the network structure of the game. We use the core, Shapley value, and \(\tau \)-value as cooperative optimality principles. The results are demonstrated on a model of a differential knowledge stock game, where the Shapley value and the \(\tau \)-value are constructed in explicit form.

中文翻译：

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网络微分博弈中的合作最优原则

摘要

我们描述了一类网络上的微分博弈，并考虑到博弈的网络结构，使用特殊类型的特征函数来研究构建合作最优原则的问题。我们使用核心、Shapley 值和 \(\tau \)值作为合作最优原则。结果在差异知识股票博弈模型上得到证明，其中 Shapley 值和\(\tau \)值以显式形式构建。