Non-cooperative and axiomatic characterizations of the average lexicographic value

Takumi Kongo*, Yukihiko Funaki, Rodica Branzei, Stef Tijs

*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 give a non-cooperative and an axiomatic characterization of the Average Lexicographic value (AL-value) on the class of balanced games. The AL-value is a single-valued solution for balanced TU-games. It is defined as the average of lexicographic maximum of the core of the game with respect to all orders on the player set, and it can be seen as a core selection based on the priority orders on the players. In both of our characterizations of the AL-value, a consistency property which we call average consistency plays an important role, and the property is obtained by the consistency property à la Davis and Maschler of the lexicographic vectors with respect to any order of players.

本文言語English
ページ(範囲)417-435
ページ数19
ジャーナルInternational Game Theory Review
12
4
DOI
出版ステータスPublished - 2010 12月

ASJC Scopus subject areas

  • ビジネスおよび国際経営
  • コンピュータ サイエンス(全般)
  • 統計学、確率および不確実性

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