论文标题
投票权重分配的福利顺序
Welfare ordering of voting weight allocations
论文作者
论文摘要
本文研究了代表不同规模的委员会中投票权重的分配。我们介绍了基于社会福利随机比较的重量分配的部分顺序。我们表明，当组数量足够大时，这种排序渐近与权重和组大小之间的余弦相称性引起的总排序相吻合。推论的是，一类期望形式的目标函数，包括预期福利，平均多数赤字和反转的可能性，在余弦比例中是渐近单调的。
This paper studies the allocation of voting weights in a committee representing groups of different sizes. We introduce a partial ordering of weight allocations based on stochastic comparison of social welfare. We show that when the number of groups is sufficiently large, this ordering asymptotically coincides with the total ordering induced by the cosine proportionality between the weights and the group sizes. A corollary is that a class of expectation-form objective functions, including expected welfare, the mean majority deficit and the probability of inversions, are asymptotically monotone in the cosine proportionality.
