Coincidence of and collinearity between game theoretic solutions

Theo Driessen, Y. Funaki

Research output: Contribution to journalArticleAcademicpeer-review

80 Citations (Scopus)
109 Downloads (Pure)

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 then-person game. The second part is the study of both a new type of games, the so-calledk-coalitionaln-person games, and the interrelationship between solutions on the class of those games. The main results state that the Shapley value of ak-coalitionaln-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
JournalOR Spectrum = OR Spektrum
Volume13
Issue number1
DOIs
Publication statusPublished - 1991

Keywords

  • METIS-140416
  • IR-92493

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