A modified Kohlberg criterion and a nonlinear method to compute the nucleolus of a cooperative game

Kazuo Kido

doi:10.11650/twjm/1500405041

A modified Kohlberg criterion and a nonlinear method to compute the nucleolus of a cooperative game

Kazuo Kido

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We propose a new nonlinear method for finding a coalition array in a cooperative game, a new coherent criterion for concluding whether its array corresponds to the nucleolus or not, and an adjusting process for obtaining the nucleolus strictly from its nonlinear approximation.

Original language	English
Pages (from-to)	1581-1590
Number of pages	10
Journal	Taiwanese Journal of Mathematics
Volume	12
Issue number	6
DOIs	https://doi.org/10.11650/twjm/1500405041
Publication status	Published - 2008 Sept

Keywords

Balanced
Cooperative game
Kohlberg criterion
Nucleolus
Property II
ℓ-nucleolus

ASJC Scopus subject areas

Mathematics(all)

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10.11650/twjm/1500405041

Cite this

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abstract = "We propose a new nonlinear method for finding a coalition array in a cooperative game, a new coherent criterion for concluding whether its array corresponds to the nucleolus or not, and an adjusting process for obtaining the nucleolus strictly from its nonlinear approximation.",

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KW - Property II

KW - ℓ-nucleolus

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A modified Kohlberg criterion and a nonlinear method to compute the nucleolus of a cooperative game

Abstract

Keywords

ASJC Scopus subject areas

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