An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure

Rene van den Brink (), Ilya Katsev () and Gerard van der Laan

European Journal of Operational Research, 2010, vol. 207, issue 2, 817-826

Abstract: A cooperative game with a permission structure describes a situation in which players in a cooperative TU-game are hierarchically ordered in the sense that there are players that need permission from other players before they are allowed to cooperate. In this paper we consider non-negative additive games with an acyclic permission structure. For such a game we provide a polynomial time algorithm for computing the nucleolus of the induced restricted game. The algorithm is applied to a market situation where sellers can sell objects to buyers through a directed network of intermediaries.

Keywords: Game; theory; TU-game; Acyclic; permission; structure; Peer; group; game; Nucleolus; Algorithm (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:207:y:2010:i:2:p:817-826

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