Similarities and differences between success and decisiveness

摘要: We consider binary voting systems in which a probability distribution over coalitions is known. In this broader context decisiveness is an extension of the Penrose-Banzhaf index and success an Rae for simple games. Although are conceptually different we analyze their numerical behavior. The main result provides necessary sufficient conditions ordinal equivalence them. Indeed, under anonymous distributions they become ordinally equivalent. Moreover, it proved that these distributions, respect strength seats, whereas luckiness reverses order.