Abstract
| 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
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Owen coalitional value without additivity axiom. / Khmelnitskaya, Anna Borisovna; Yanovskaya, E.B.
Enschede : University of Twente, Department of Applied Mathematics, 2005. 8 p. (Memorandum Afdeling TW; No. 1761).Research output: Book/Report › Report › Professional
TY - BOOK
T1 - Owen coalitional value without additivity axiom
AU - Khmelnitskaya, Anna Borisovna
AU - Yanovskaya, E.B.
N1 - Imported from MEMORANDA
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
KW - EWI-3581
KW - MSC-91A12
KW - IR-65945
KW - METIS-227056
M3 - Report
SN - 0169-2690
T3 - Memorandum Afdeling TW
BT - Owen coalitional value without additivity axiom
PB - University of Twente, Department of Applied Mathematics
CY - Enschede
ER -