If the excesses of the coalitions in a transferable utility game are weighted, then we show that the arising weighted modifications of the well-known (pre)nucleolus and (pre)kernel satisfy the equal treatment property if and only if the weight system is symmetric in the sense that the weight of...

A cooperative situation is characterized by a group of players choosing from a set of alternatives, where each alternative results in a joint cost. In this paper we assume that an alternative with minimum total cost will be chosen and we focus on the corresponding cost allocation problem by...