| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1142071 | Operations Research Letters | 2016 | 5 Pages |
Abstract
The Shapley value for directed graph (digraph) TU games with limited cooperation induced by a digraph prescribing the dominance relation among the players is introduced. It is defined as the average of the marginal contribution vectors corresponding to all permutations which do not violate the induced subordination of players. We study properties of this solution and its core stability. For digraph games with the digraphs being directed cycles an axiomatization of the solution is obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Anna Khmelnitskaya, Özer Selçuk, Dolf Talman,