Coincidence of and collinearity between game theoretic solutions

Theo Driessen, Y. Funaki

Research output: Contribution to journalArticleAcademicpeer-review

101 Citations (Scopus)
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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
Issue number1
Publication statusPublished - 1991


  • METIS-140416
  • IR-92493


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