Coincidence of and collinearity between game theoretic solutions

T. S.H. Driessen, Y. Funaki

Research output: Contribution to journalArticlepeer-review

81 Citations (Scopus)

Abstract

The first part is the study of several conditions which are sufficient for the coincidence of the prenucleolus concept and the egalitarian nonseparable contribution (ENSC-) method. The main sufficient condition for the coincidence involved requires that the maximal excesses at the ENSC-solution are determined by the (n-1)-person coalitions in the n-person game. The second part is the study of both a new type of games, the so-called k-coalitional n-person games, and the interrelationship between solutions on the class of those games. The main results state that the Shapley value of a k-coalitional n-person game can be written as a convex or affine combination of the ENSC-solution and the centre of the imputation set.

Original languageEnglish
Pages (from-to)15-30
Number of pages16
JournalOR Spektrum
Volume13
Issue number1
DOIs
Publication statusPublished - 1991 Mar
Externally publishedYes

ASJC Scopus subject areas

  • Management Science and Operations Research

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