A new characterization of M-convex set functions by substitutability

Rashid Farooq, Akihisa Tamura

研究成果: Article査読

3 被引用数 (Scopus)

抄録

The concepts of M-convex functions and M -convex functions play central roles in the theory of discrete convex analysis which has been applied to mathematical economics. On the other hand, substitutability, which is a key property guaranteeing the existence of a stable matching in generalized stable marriage models, is known as a nice property in mathematical economics. In this paper, we introduce new properties, which are extensions of substitutability, and present new characterizations of M -convex set functions by these properties.

本文言語English
ページ(範囲)18-24
ページ数7
ジャーナルJournal of the Operations Research Society of Japan
47
1
DOI
出版ステータスPublished - 2004 3
外部発表はい

ASJC Scopus subject areas

  • 決定科学(全般)
  • 経営科学およびオペレーションズ リサーチ

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