The multilevel theory proposed by Hollenbeck et al. identified a set of core variables that are central to accuracy in decision-making in hierarchical teams with distributed expertise. Following the identification of the limitations of the original core variables, a new set of core variables is proposed: (a) member validity, which represents the overall predictability of team members with regard to the correct decision and (b) hierarchical sensitivity, which represents the effectiveness of the leader's weightings of members' recommendations. To test the revised theory, a computational model called Team-Soar is used. The simulation results show that the small set of new core variables explains a large portion of the variance in the team decision accuracy and mediates the effects of other variables on the accuracy. The revised theory can be used as a conceptual vehicle to parsimoniously explain the performance of hierarchical decision-making teams. The theory could also be used to diagnose and train real teams in terms of the core variables.