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The Shapley Value in Cooperative Differential Games with Random Duration

  • Ekaterina Shevkoplyas
Chapter
Part of the Annals of the International Society of Dynamic Games book series (AISDG, volume 11)

Abstract

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.

Keywords

Optimal Control Problem Weibull Distribution Optimal Trajectory Differential Game Grand Coalition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Faculty of Applied MathematicsSt. Petersburg State UniversitySt. PetersburgRussia

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