Collective decisional skill and decisive voting games - Some results

The paper discusses various representations of collective decisional skill which are useful in the evaluation of decision structures. The recursion fo rmulas we give here and the use of the concepts of majority deficiency as w ell as majority and unanimity games present expedient approaches in analyzi ng collective competence. Using the simple majority system as benchmark, ap plications to certain hierarchic decision structures are presented. The res ulting inequalities dealing with collective decisional skills of hierarchic systems are an improvement of previous published results.