The Shapley Value in Cooperative Differential Games with Random Duration
The class of cooperative differential games with random duration is studied in this chapter. The problem of the Shapley Value calculation is examined. As a result, the Hamilton–Jacobi–Bellman equation for the problem with random duration is derived. The Shapley Value calculation method, which uses the obtained equation, is represented by an algorithm. An application of the theoretical results is illustrated with a model of nonrenewable resource extraction by n firms or countries.
KeywordsOptimal Control Problem Weibull Distribution Optimal Trajectory Differential Game Grand Coalition
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