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.
ASJC Scopus subject areas
- Management Science and Operations Research