THE MODIFIED NUCLEOLUS AS CANONICAL REPRESENTATION OF WEIGHTED MAJORITY GAMES

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.