Differential game model of limited resource extraction with dynamic updating is studied in the paper. The class of games with dynamic updating is new in the theory of differential games. Cooperative setting of limited resource extraction with dynamic updating is considered. Optimal strategies, cooperative payoff, characteristic function and allocation rule for cooperative payoff between the players are derived in an explicit form. As an optimality principle or cooperative solution Shapley value is used. Results of numerical simulation in the Python environment are demonstrated.

中文翻译：

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关于一种具有动态更新的差分博弈模型

研究了动态更新的有限资源抽取的差分博弈模型。动态更新的游戏类别是差分游戏理论中的新事物。考虑了有限资源提取与动态更新的协作设置。以明确的形式推导了参与者之间合作收益的最优策略，合作收益，特征函数和分配规则。作为最佳性原则或合作解决方案，使用Shapley值。演示了在Python环境中进行数值模拟的结果。