Title
An algorithm for computing the nucleolus of disjunctive non-negative additive games with an acyclic permission structure
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.
Year
DOI
Venue
2010
10.1016/j.ejor.2010.05.028
European Journal of Operational Research
Keywords
Field
DocType
Game theory,TU-game,Acyclic permission structure,Peer group game,Nucleolus,Algorithm
Permission,Mathematical economics,Algorithm,Game theory,Time complexity,Non-cooperative game,Utility theory,Mathematics,Polynomial method,Constrained optimization
Journal
Volume
Issue
ISSN
207
2
0377-2217
Citations 
PageRank 
References 
1
0.35
8
Authors
3
Name
Order
Citations
PageRank
René Van Den Brink118727.06
Ilya Katsev231.55
Gerard Van Der Laan314824.79