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Published in: Theory and Decision 2/2019

08-05-2019

Logical independence of the axioms characterizing the degree measure in van den Brink et al. (2008)

Authors: Zhiwei Cui, Yan-An Hwang

Published in: Theory and Decision | Issue 2/2019

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Excerpt

Theorem 5.2 in van den Brink et al. (2008) is incomplete. The following theorem shows that the degree measure can be axiomatically characterized by degree efficiency and reasonability. In other words, edge cutting independence and pending node addition are redundant. …

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Literature
go back to reference van den Brink, R., Borm, P., Hendrickx, R., & Owen, G. (2008). Characterizations of the \( \beta \)- and the degree network power measure. Theory and Decision, 64, 519–536.CrossRef van den Brink, R., Borm, P., Hendrickx, R., & Owen, G. (2008). Characterizations of the \( \beta \)- and the degree network power measure. Theory and Decision, 64, 519–536.CrossRef
Metadata
Title
Logical independence of the axioms characterizing the degree measure in van den Brink et al. (2008)
Authors
Zhiwei Cui
Yan-An Hwang
Publication date
08-05-2019
Publisher
Springer US
Published in
Theory and Decision / Issue 2/2019
Print ISSN: 0040-5833
Electronic ISSN: 1573-7187
DOI
https://doi.org/10.1007/s11238-019-09706-7

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