The SM-Nucleolus in Glove Market Games

In the present paper we consider a special class of TU-games { glove market games. Using both analytical and algorithmic approaches we apply the SM-nucleolus { a comparably new solution concept that is based on the idea of the blocking power of a coalition { to this kind of games. We provide analytical formulae for calculation of the SMnucleolus. On the top of this, Potters’ algorithm for the prenucleolus has been adapted for nding the SM-nucleolus as well. Some examples are given and explained in the paper. Finally, we discuss similarity and dierences that the SM-nucleolus and dierent solution concepts of TU-games demonstrate for a class of glove market games.