Abstract
We show that the Owen value for TU games with coalition structure can be characterized without additivity axiom similarly as it was done by Young for the Shapley value for general TU games. Our axiomatization via four axioms of efficiency, marginality, symmetry across coalitions, and symmetry within coalitions is obtained from the original Owen's one by replacement of the additivity and null-player axioms via marginality. We show that the alike axiomatization for the generalization of the Owen value suggested by Winter for games with level structure is valid as well.
| Original language | Undefined |
|---|---|
| Place of Publication | Enschede |
| Publisher | University of Twente, Department of Applied Mathematics |
| Number of pages | 8 |
| ISBN (Print) | 0169-2690 |
| Publication status | Published - 2005 |
Publication series
| Name | Memorandum Afdeling TW |
|---|---|
| Publisher | University of Twente, Department of Applied Mathematics |
| No. | 1761 |
| ISSN (Print) | 0169-2690 |
Keywords
- EWI-3581
- MSC-91A12
- IR-65945
- METIS-227056
Cite this
Khmelnitskaya, A. B., & Yanovskaya, E. B. (2005). Owen coalitional value without additivity axiom. (Memorandum Afdeling TW; No. 1761). Enschede: University of Twente, Department of Applied Mathematics.