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Erscheinungsjahr: 
2014
Schriftenreihe/Nr.: 
IEHAS Discussion Papers No. MT-DP - 2014/18
Verlag: 
Hungarian Academy of Sciences, Institute of Economics, Centre for Economic and Regional Studies, Budapest
Zusammenfassung: 
There lies a network structure between fixed tree and minimum cost spanning tree networks that has not been previously analyzed from a cooperative game theoretic perspective, namely, directed acyclic graph (DAG) networks. In this paper we consider the cost allocation game defined on DAG-networks. We briefly discuss the relation of DAG-games with other network-based cost games. We demonstrate that in general a DAG-game is not concave, even its core might be empty, but we provide an efficiently verifiable condition satisfied by a large class of directed acyclic graphs that is sufficient for balancedness of the associated DAG-game. We introduce a network canonization process and prove various structural results for the core of canonized DAG-games. In particular, we characterize classes of coalitions that have a constant payoff in the core. In addition, we identify a subset of the coalitions that is sufficient to determine the core.
Schlagwörter: 
cooperative game theory
directed acyclic graphs
core
acyclic directed Steiner tree
JEL: 
C71
ISBN: 
978-615-5447-33-4
Dokumentart: 
Working Paper

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