Marginal games and characterizations of the shapley value in TU games

Takumi Kongo, Yukihiko Funaki

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Axiomatizations and recursive representations of the Shapley value on the class of all cooperative games with transferable utilities are given. Marginal games, which are closely related to dual games, play central roles in our results. Our axiomatizations are based on axioms that are marginal game variations of the well-known balanced contributions property, so that they are interpreted as fair treatment between two players in games as the balanced contributions property is. Our general recursive representation enables us to represent the Shapley value for n-person games by those for r-person and (n − r)-person games with fixed r < n. The particular case of r = 1 has a clear contrasting interpretation to the existing recursive formula.

Original languageEnglish
Title of host publicationGame Theory and Applications - 3rd Joint China-Dutch Workshop and 7th China Meeting, GTA 2016, Revised Selected Papers
EditorsXiao-Guang Yang, Deng-Feng Li, Marc Uetz, Gen-Jiu Xu
PublisherSpringer Verlag
Pages165-173
Number of pages9
ISBN (Print)9789811067525
DOIs
Publication statusPublished - 2017
Event3rd Joint China-Dutch Workshop on Game Theory and Applications and 7th China Meeting on Game Theory and Applications, GTA 2016 - Fuzhou, China
Duration: 2016 Nov 202016 Nov 23

Publication series

NameCommunications in Computer and Information Science
Volume758
ISSN (Print)1865-0929

Other

Other3rd Joint China-Dutch Workshop on Game Theory and Applications and 7th China Meeting on Game Theory and Applications, GTA 2016
CountryChina
CityFuzhou
Period16/11/2016/11/23

Keywords

  • Balanced contribution
  • Dual game
  • Marginal game
  • Recursive representation
  • Shapley value

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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