Collective decision skill and decisive voting games

The paper discusses various representations of collective decisional skill which are useful in the evaluation of decision structures. The recursion formulas we give here and the use of the concepts of majority deficiency as well as majority and unanimity games present expedient approaches in analyzing collective competence. Using the simple majority system as benchmark, applications to certain hierarchic decision structures are presented. The resulting inequalities dealing with collective decisional skills of hierarchic systems are an improvement of previous published results.