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Cooperative Stochastic Games

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Advances in Dynamic Games

Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 8))

Abstract

A cooperative stochastic n-person game on a finite graph tree is considered. The subtree of cooperative trajectories maximizing the sum of expected players’ payoffs is defined, and the solution of the game along the paths of this tree is investigated. The new notion of cooperative payoff distribution procedure (CPDP) is defined, and the time-consistent Shapley value is constructed.

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References

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© 2006 Birkhäuser Boston

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Petrosjan, L.A. (2006). Cooperative Stochastic Games. In: Haurie, A., Muto, S., Petrosjan, L.A., Raghavan, T.E.S. (eds) Advances in Dynamic Games. Annals of the International Society of Dynamic Games, vol 8. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4501-2_7

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