Marginal games and characterizations of the shapley value in TU games

Takumi Kongo, Yukihiko Funaki*

*この研究の対応する著者

研究成果: Conference contribution

抄録

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.

本文言語English
ホスト出版物のタイトルGame Theory and Applications - 3rd Joint China-Dutch Workshop and 7th China Meeting, GTA 2016, Revised Selected Papers
編集者Xiao-Guang Yang, Deng-Feng Li, Marc Uetz, Gen-Jiu Xu
出版社Springer Verlag
ページ165-173
ページ数9
ISBN(印刷版)9789811067525
DOI
出版ステータスPublished - 2017
イベント3rd Joint China-Dutch Workshop on Game Theory and Applications and 7th China Meeting on Game Theory and Applications, GTA 2016 - Fuzhou, China
継続期間: 2016 11月 202016 11月 23

出版物シリーズ

名前Communications in Computer and Information Science
758
ISSN(印刷版)1865-0929

Other

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

ASJC Scopus subject areas

  • コンピュータ サイエンス(全般)
  • 数学 (全般)

フィンガープリント

「Marginal games and characterizations of the shapley value in TU games」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル