Matrix approach to dual similar associated consistency for the Shapley value

Genjiu Xu; Theo Driessen; Hao Sun

doi:10.1016/j.laa.2009.01.009

Matrix approach to dual similar associated consistency for the Shapley value

Genjiu Xu
, Theo Driessen
, Hao Sun

Discrete Mathematics and Mathematical Programming

Research output: Contribution to journal › Article › Academic › peer-review

11 Citations (Scopus)

1 Downloads (Pure)

Abstract

In terms of the similarity of matrices, by combining the dual operator and the linear mapping with respect to Hamiache’s associated game on the game space, the Shapley value for TU-games is axiomatized as the unique value verifying dual similar associated consistency, continuity, and the inessential game property.

Original language	English
Pages (from-to)	2896-2897
Number of pages	2
Journal	Linear algebra and its applications
Volume	430
Issue number	11-12
DOIs	https://doi.org/10.1016/j.laa.2009.01.009
Publication status	Published - 1 Jun 2009

Keywords

Shapley value
Dual game
Dual similar associated consistency

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10.1016/j.laa.2009.01.009

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title = "Matrix approach to dual similar associated consistency for the Shapley value",

abstract = "In terms of the similarity of matrices, by combining the dual operator and the linear mapping with respect to Hamiache{\textquoteright}s associated game on the game space, the Shapley value for TU-games is axiomatized as the unique value verifying dual similar associated consistency, continuity, and the inessential game property.",

keywords = "Shapley value, Dual game, Dual similar associated consistency",

author = "Genjiu Xu and Theo Driessen and Hao Sun",

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T1 - Matrix approach to dual similar associated consistency for the Shapley value

AU - Xu, Genjiu

AU - Driessen, Theo

AU - Sun, Hao

PY - 2009/6/1

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N2 - In terms of the similarity of matrices, by combining the dual operator and the linear mapping with respect to Hamiache’s associated game on the game space, the Shapley value for TU-games is axiomatized as the unique value verifying dual similar associated consistency, continuity, and the inessential game property.

AB - In terms of the similarity of matrices, by combining the dual operator and the linear mapping with respect to Hamiache’s associated game on the game space, the Shapley value for TU-games is axiomatized as the unique value verifying dual similar associated consistency, continuity, and the inessential game property.

KW - Shapley value

KW - Dual game

KW - Dual similar associated consistency

U2 - 10.1016/j.laa.2009.01.009

DO - 10.1016/j.laa.2009.01.009

M3 - Article

SN - 0024-3795

VL - 430

SP - 2896

EP - 2897

JO - Linear algebra and its applications

JF - Linear algebra and its applications

IS - 11-12

ER -

Matrix approach to dual similar associated consistency for the Shapley value

Abstract

Keywords

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