We study linearly weighted versions of the least core and the (pre)nucleolus and investigatethe reduction possibilities … core and the per-capita (pre)nucleolus from the dual game. This could lead to the design of polynomial time algorithms for … the per-capita (and other monotone nondecreasingly weighted versions of the) least core and the (pre)nucleolus in specific …

This paper studies the core of combined games, obtained by summing two coalitional games. It is shown that the set of … core of the combined game coincides with the sum of the cores of its components. On the other hand, for non-balanced games …, the binary relation associating two component games whose combination has an empty core is not transitive. However, we …

in Baltic Sea. The characteristic func-tion is constructed and the Shapley value and the nucleolus are used as one …