Upper and lower bounds of the kernel and nucleolus

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

This paper examines relationships between the smallest contribution of a player and a lower bound of the kernel, and also an upper bound of the nucleolus. We show that the smallest contribution is a lower bound of the kernel outside the core. Moreover we present a necessary and sufficient condition for the smallest contribution to be an upper bound of the nucleolus. In this case, the equivalence of the nucleolus and SCRB solution is also obtained.

Original languageEnglish
Pages (from-to)121-129
Number of pages9
JournalInternational Journal of Game Theory
Volume15
Issue number2
DOIs
Publication statusPublished - 1986 Jun
Externally publishedYes

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Nucleolus
Upper and Lower Bounds
kernel
Lower bound
Upper bound
equivalence
Equivalence
Necessary Conditions
Sufficient Conditions
Lower bounds
Kernel

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Statistics and Probability
  • Mathematics (miscellaneous)
  • Economics and Econometrics

Cite this

Upper and lower bounds of the kernel and nucleolus. / Funaki, Yukihiko.

In: International Journal of Game Theory, Vol. 15, No. 2, 06.1986, p. 121-129.

Research output: Contribution to journalArticle

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