Reduced game property of linear values with equal treatment property

Theo Driessen, T. Namekata

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review


A transferable utility game deals with problems of how to allocate the total benefit among players by considering contributions of various coalitions of players to the total benefit. A value for games is an allocation of the total benefit among them. Many values such as the Shapley value and the prenucleolus are introduced by their own equity consideration. Thus a consistency in terms of a reduced game is a useful tool to compare various solutions in a unified way, because it expresses the differences in solutions as those in associated reduced games. This paper axiomatizes linear values with Equal Treatment Property by the consistency in terms of a reduced game.
Original languageEnglish
Title of host publicationOperations Research and Management Science at Work
EditorsE. Kozan, A. Ohuchi
Place of PublicationDordrecht
PublisherKluwer Academic Publishers
ISBN (Electronic)978-1-4615-0819-9
ISBN (Print)0-7923-7588-2
Publication statusPublished - 2002

Publication series

NameInternational Series in Operations Research & Management Science


  • METIS-208505

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