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Abstract:
As an alliance form for players, a level structure is more general than a coalition structure. This paper devotes to propose the multi-step Shapley value of transferable utility cooperative games with a level structure. Concretely, an allocation procedure and an axiomatic characterization of it are given. Additionally, as an equivalent allocation procedure, this paper proves that it is identical with the weighted Shapley value of an appropriate transferable utility cooperative game. Research results extend the two-step Shapley value of transferable utility cooperative games with a coalition structure, and they can be taken as references to investigate other solutions of transferable utility cooperative games with an alliance restriction. © 2016, Editorial Board of Journal of Systems Engineering Society of China. All right reserved.
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System Engineering Theory and Practice
ISSN: 1000-6788
CN: 11-2267/N
Year: 2016
Issue: 7
Volume: 36
Page: 1863-1870
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count: 2
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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