THE POTENTIAL AND CONSISTENCY PROPERTY FOR MULTI-CHOICE SHAPLEY VALUE

THE POTENTIAL AND CONSISTENCY PROPERTY FOR MULTI-CHOICE SHAPLEY VALUE

In this article, we complete the proof that the extended Shapley value has w-consistent property proposed by Hsiao, Yeh and Mo [4], Then we suggest an axiomatization which is the parallel of Hart and Mas-Colell's [1] axiomatization of the Shapley value by applying the w-consistency property.

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Veröffentlicht in:Taiwanese journal of mathematics 2008-04, Vol.12 (2), p.545-559
Hauptverfasser: Hsiao, Chih-Ru, 蕭志如, Liao, Yu-Hsien, 糜于賢
Format: Artikel
Sprache:eng
Schlagworte:
Axiomatization
Cooperative games
Economic value
Game theory
Harmonic functions
Mathematical vectors
Mathematics
Property titles
Symmetry
Weighting functions
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Zusammenfassung:In this article, we complete the proof that the extended Shapley value has w-consistent property proposed by Hsiao, Yeh and Mo [4], Then we suggest an axiomatization which is the parallel of Hart and Mas-Colell's [1] axiomatization of the Shapley value by applying the w-consistency property.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500574175