Decisional Power in Group Decision Making: A Note on the Allocation of Group Members' Weights in the Multiplicative AHP and SMART

Many complex decisions are made in a group environment, where the decision is made jointly by a committee or group structure. The individual group members are often not equally qualified to contribute equitably to the decision process, or may have different saliences (desires) to influence the decision. A quantitative knowledge of the players' decisional power is useful for better understanding of the group decision process, and could even be used in weighted voting within the group structure. We adapt the REMBRANDT suite of decision models (multiplicative AHP and SMART) to measure decisional power in groups, and we generalise this to cater for the case where power itself is deemed to be multidimensional in nature, and the case of uncertain subjective judgements of power amongst group members.