Owen coalitional value without additivity axiom

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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 languageUndefined
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages8
ISBN (Print)0169-2690
Publication statusPublished - 2005

Publication series

NameMemorandum Afdeling TW
PublisherUniversity 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.
Khmelnitskaya, Anna Borisovna ; Yanovskaya, E.B. / Owen coalitional value without additivity axiom. Enschede : University of Twente, Department of Applied Mathematics, 2005. 8 p. (Memorandum Afdeling TW; 1761).
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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.",
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author = "Khmelnitskaya, {Anna Borisovna} and E.B. Yanovskaya",
note = "Imported from MEMORANDA",
year = "2005",
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publisher = "University of Twente, Department of Applied Mathematics",
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Khmelnitskaya, AB & Yanovskaya, EB 2005, Owen coalitional value without additivity axiom. Memorandum Afdeling TW, no. 1761, University of Twente, Department of Applied Mathematics, Enschede.

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/ReportReportProfessional

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 -

Khmelnitskaya AB, Yanovskaya EB. Owen coalitional value without additivity axiom. Enschede: University of Twente, Department of Applied Mathematics, 2005. 8 p. (Memorandum Afdeling TW; 1761).