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Parilina, Elena; Sedakov, Artem

Stochastic approach for determining stable coalition structure. (English) Zbl 1331.91024

Int. Game Theory Rev. 17, No. 4, Article ID 1550009, 22 p. (2015).
Summary: In this paper, we study TU-games with coalition structure and propose an approach for determining a stable coalition structure solving a stochastic game of a special form. Using a Nash equilibrium in this game, we draw an analogy between the stable coalition structure and an absorbing state in a Markov chain. In addition, we consider a case of restricted coalitions assuming that not all coalitions are feasible and extend the definition of the stable coalition structure to this case.

Cited in 2 Documents

MSC:

91A12 Cooperative games
91A15 Stochastic games, stochastic differential games

Keywords:

TU-game; stochastic game; stationary strategy; stable coalition structure; Shapley value; feasible coalition
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References:

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