Coincidence of the Shapley value with other solutions satisfying covariance

Koji Yokote*, Yukihiko Funaki, Yoshio Kamijo

*この研究の対応する著者

研究成果: Article査読

3 被引用数 (Scopus)

抄録

We identify the necessary and sufficient condition under which the Shapley value coincides with the prenucleolus for general TU games. For 0-normalized 3-person games, the coincidence holds if and only if the game is symmetric or satisfies the PS property (Kar et al., 2009). We also identify the necessary and sufficient coincidence condition in the following allocation problems: the airport games (Littlechild and Owen, 1973), the bidder collusion games (Graham et al., 1990) and the polluted river games (Ni and Wang, 2007). The coincidence between the Shapley value and the CIS and ENSC values is discussed as well.

本文言語English
ページ(範囲)1-9
ページ数9
ジャーナルMathematical social sciences
89
DOI
出版ステータスPublished - 2017 9月

ASJC Scopus subject areas

  • 社会学および政治科学
  • 社会科学(全般)
  • 心理学(全般)
  • 統計学、確率および不確実性

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