New Axiomatizations and an Implementation of the Shapley Value

T. Kongo, Y. Funaki, S.H. Tijs

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Abstract

Some new axiomatic characterizations and recursive formulas of the Shapley value are presented. In the results, dual games and the self-duality of the value implicitly play an important role. A set of non-cooperative games which implement the Shapley value on the class of all games is given.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages14
Volume2007-90
Publication statusPublished - 2007

Publication series

NameCentER Discussion Paper
Volume2007-90

Keywords

  • Shapley value
  • axiomatization
  • implementation

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