Associated consistency and values for TU games

Theo Driessen

Research output: Contribution to journalArticleAcademicpeer-review

14 Citations (Scopus)
59 Downloads (Pure)


In the framework of the solution theory for cooperative transferable utility games, Hamiache axiomatized the well-known Shapley value as the unique one-point solution verifying the inessential game property, continuity, and associated consistency. The purpose of this paper is to extend Hamiache’s axiomatization to the class of efficient, symmetric, and linear values, of which the Shapley value is the most important representative. For this enlarged class of values, explicit relationships to the Shapley value are exploited in order to axiomatize such values with reference to a slightly adapted inessential game property, continuity, and a similar associated consistency. The latter axiom requires that the solutions of the initial game and its associated game (with the same player set, but a different characteristic function) coincide.
Original languageEnglish
Pages (from-to)467-482
Number of pages16
JournalInternational journal of game theory
Issue number3
Publication statusPublished - Jul 2010


  • Cooperative game
  • Associated game
  • Linear value
  • Shapley value
  • Consistency


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