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 language | English |
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Pages (from-to) | 15-30 |
Number of pages | 16 |
Journal | OR Spektrum |
Volume | 13 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1991 Mar |
Externally published | Yes |
ASJC Scopus subject areas
- Management Science and Operations Research