Title
Weighted component fairness for forest games.
Abstract
We study the set of allocation rules generated by component efficiency and weighted component fairness, a generalization of component fairness introduced by Herings et al. (2008). Firstly, if the underlying TU-game is superadditive, this set coincides with the core of a graph-restricted game associated with the forest game. Secondly, among this set, only the random tree solutions (Béal et al., 2010) induce Harsanyi payoff vectors for the associated graph-restricted game. We then obtain a new characterization of the random tree solutions in terms of component efficiency and weighted component fairness.
Year
DOI
Venue
2012
10.1016/j.mathsocsci.2012.03.004
Mathematical Social Sciences
Field
DocType
Volume
Random tree,Superadditivity,Mathematical optimization,Mathematical economics,Mathematics,Stochastic game
Journal
64
Issue
ISSN
Citations 
2
0165-4896
3
PageRank 
References 
Authors
0.51
9
3
Name
Order
Citations
PageRank
Sylvain Béal17012.23
Eric Rémila232945.22
Philippe Solal37914.55