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 …

nucleolus. This paper is an update on the nucleolus and its two related supersolutions, i.e., the kernel and the bargaining set. …

theoretical knowledge we present and compare seven properties of fair profit sharing. Findings: We show that the nucleolus is a … core-solution, which does not fulfil aggregate monotonicity. In contrast the Shapley value is an aggregate monotonic … solution but does not belong to the core of every cooperative game. Moreover, we present the Lorenz dominance as an additional …