Title
Efficiency and collusion neutrality in cooperative games and networks
Abstract
In the literature various axiomatizations of the Shapley and Banzhaf value can be found where the only difference is the Shapley value satisfying efficiency and the Banzhaf value satisfying collusion neutrality. Both properties seem to be desirable. In this paper, we show that there is no solution satisfying efficiency, collusion neutrality and the null player property. After that we show that this impossibility is resolved when cooperation among players is restricted by a cycle-free communication network such that only connected coalitions are feasible. In particular, all hierarchical outcomes introduced by Demange (2004) and their convex combinations satisfy these three properties.
Year
DOI
Venue
2012
10.1016/j.geb.2012.04.001
Games and Economic Behavior
Keywords
Field
DocType
C71
Welfare economics,Mathematical economics,Economics,Telecommunications network,Shapley value,Microeconomics,Impossibility,Collusion,Neutrality
Journal
Volume
Issue
ISSN
76
1
0899-8256
Citations 
PageRank 
References 
3
0.39
4
Authors
3
Name
Order
Citations
PageRank
René Van Den Brink118727.06
vu2856122.39
faculteit der economische wetenschappen en bedrijfskunde39712.85