Relationally equal treatment of equals and affine combinations of values for TU games

Koji Yokote, Takumi Kongo*, Yukihiko Funaki

*この研究の対応する著者

研究成果査読

4 被引用数 (Scopus)

抄録

We axiomatize the set of affine combinations between the Shapley value, the equal surplus division value, and the equal division value in cooperative games with transferable utilities. The set is characterized by efficiency, linearity, the balanced contributions property for equal contributors and outsiders, and the differential null player out property. The balanced contributions property for equal contributors and outsiders requires the balance of contributions between two players who contribute the same amount to the grand coalition and whose singleton coalitions earn the same worth. The differential null player out property requires that an elimination of a null player affects the other players identically. These two relational axioms are obtained by investigating Myerson’s (Int J Game Theory 9:169–182, 1980) balanced contributions property and Derks and Haller’s (Int Game Theory Rev 1:301–314, 1999) null player out property, respectively, from the perspective of a principle of Aristotle’s distributive justice, whereby “equals should be treated equally”.

本文言語English
ページ(範囲)197-212
ページ数16
ジャーナルSocial Choice and Welfare
53
2
DOI
出版ステータスPublished - 2019 8 1

ASJC Scopus subject areas

  • 社会科学(その他)
  • 経済学、計量経済学

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