Title
Procedural interpretation and associated consistency for the egalitarian Shapley values.
Abstract
An -egalitarian Shapley value is the convex combination of the Shapley value and the equal division value in terms of a social selfish coefficient [0,1] reconciling the two polar opinions of marginalism and egalitarianism. We present a procedural interpretation for every egalitarian Shapley value. We also characterize each -egalitarian Shapley value by associated consistency, continuity and the -dummy player property. The Jordan normal form approach is applied as the pivotal technique to accomplish the most important proof.
Year
DOI
Venue
2017
10.1016/j.orl.2017.01.012
Oper. Res. Lett.
Keywords
Field
DocType
Cooperative game,Egalitarian Shapley value,Associated consistency,α-dummy player property,Jordan normal form
Mathematical economics,Mathematical optimization,Convex combination,Shapley value,Egalitarianism,Jordan normal form,Mathematics,Marginalism
Journal
Volume
Issue
ISSN
45
2
0167-6377
Citations 
PageRank 
References 
3
0.47
5
Authors
4
Name
Order
Citations
PageRank
Wenna Wang130.81
Hao Sun23110.18
Genjiu Xu3307.31
Dongshuang Hou4116.27