A MODIFIED KOHLBERG CRITERION AND A NONLINEAR METHOD TO COMPUTE THE NUCLEOLUS OF A COOPERATIVE GAME

A MODIFIED KOHLBERG CRITERION AND A NONLINEAR METHOD TO COMPUTE THE NUCLEOLUS OF A COOPERATIVE GAME

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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Veröffentlicht in:Taiwanese journal of mathematics 2008-09, Vol.12 (6), p.1581-1590
Hauptverfasser: Kido, Kazuo, 木戶 一夫
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Cooperative games
Eigenfunctions
Game theory
Linear equations
Mathematical vectors
Maximality
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Beschreibung
Zusammenfassung: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.
ISSN:1027-5487
2224-6851
DOI:10.11650/twjm/1500405041