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author:

Hu, X. (Hu, X..) [1] | Li, D. (Li, D..) [2]

Indexed by:

Scopus CSCD CSSCI

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.

Keyword:

Coalition structure; Cooperative game; Level structure; Shapley value; Two-step Shapley value; Weighted Shapley value

Community:

  • [ 1 ] [Hu, X.]School of Economics and Management, Fuzhou University, Fuzhou, 350108, China
  • [ 2 ] [Li, D.]School of Economics and Management, Fuzhou University, Fuzhou, 350108, China

Reprint 's Address:

  • [Li, D.]School of Economics and Management, Fuzhou UniversityChina

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Source :

System Engineering Theory and Practice

ISSN: 1000-6788

Year: 2016

Issue: 7

Volume: 36

Page: 1863-1870

Cited Count:

WoS CC Cited Count:

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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