Matrix approach to dual similar associated consistency for the Shapley value

Genjiu Xu, Theo Driessen, Hao Sun

Research output: Contribution to journalArticleAcademicpeer-review

8 Citations (Scopus)

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 languageEnglish
Pages (from-to)2896-2897
Number of pages2
JournalLinear algebra and its applications
Volume430
Issue number11-12
DOIs
Publication statusPublished - 1 Jun 2009

Keywords

  • Shapley value
  • Dual game
  • Dual similar associated consistency

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