Whose deletion does not affect your payoff? the difference between the Shapley value, the egalitarian value, the solidarity value, and the Banzhaf value

Yoshio Kamijo*, Takumi Kongo

*この研究の対応する著者

研究成果: Article査読

37 被引用数 (Scopus)

抄録

This study provides a unified axiomatic characterization method of one-point solutions for cooperative games with transferable utilities. Any one-point solution that satisfies efficiency, the balanced cycle contributions property (BCC), and the axioms related to invariance under a player deletion is characterized as a corollary of our general result. BCC is a weaker requirement than the well-known balanced contributions property. Any one-point solution that is both symmetric and linear satisfies BCC. The invariance axioms necessitate that the deletion of a specific player from games does not affect the other players' payoffs, and this deletion is different with respect to solutions. As corollaries of the above characterization result, we are able to characterize the well-known one-point solutions, the Shapley, egalitarian, and solidarity values, in a unified manner. We also studied characterizations of an inefficient one-point solution, the Banzhaf value that is a well-known alternative to the Shapley value.

本文言語English
ページ(範囲)638-646
ページ数9
ジャーナルEuropean Journal of Operational Research
216
3
DOI
出版ステータスPublished - 2012 2 1
外部発表はい

ASJC Scopus subject areas

  • コンピュータ サイエンス(全般)
  • モデリングとシミュレーション
  • 経営科学およびオペレーションズ リサーチ
  • 情報システムおよび情報管理

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