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

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  • van den Brink, René
  • Katsev, Ilya
  • van der Laan, Gerard

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.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 207 (2010)
Issue (Month): 2 (December)
Pages: 817-826

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Handle: RePEc:eee:ejores:v:207:y:2010:i:2:p:817-826

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: Game theory TU-game Acyclic permission structure Peer group game Nucleolus Algorithm;

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