In a recent paper in Decision Sciences, Barton proposes the minimum total propensity to disrupt (MTPD) method for finding a unique solution for the nucleolus. We argue that the basis for the MTPD method is flawed because the nucleolus is always unique. Furthermore, the MTPD method is inconsistent and does not exhibit the properties desirable in a cost allocation method. (Barton's response follows on pages 137–139.)