P. Sudholter, THE MODIFIED NUCLEOLUS AS CANONICAL REPRESENTATION OF WEIGHTED MAJORITY GAMES, Mathematics of operations research, 21(3), 1996, pp. 734-756
Citations number
34
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science",Mathematics
A new solution concept for cooperative transferable utility games is i
ntroduced, which is strongly related to the nucleolus and therefore ca
lled modified nucleolus. It has many properties in common with the pre
nucleolus and can be considered as the canonical restriction of the pr
enucleolus of a certain replicated game. For weighted majority games t
his solution concept induces a representation of the game. In the spec
ial case of weighted majority constant-sum games and and homogeneous g
ames respectively the nucleolus and the minimal integer representation
respectively are adequate candidates for a canonical representation (
see Peleg 1968 and Ostman 1987a). Fortunately the modified nucleolus c
oincides with the just mentioned solutions in these special cases and
can, therefore, be seen as a canonical representation in the general w
eighted majority case.