Committee formation under constraints through randomized voting rules on separable domains
研究了在委员会形成存在约束且成员偏好可分离时，随机社会选择函数是满射且策略-proof的充要条件为随机独裁。
We consider the problem of choosing a committee from a set of available candidates through a randomized social choice function when there are restrictions on the committee to be formed and agents have separable preferences over the committees. We show that when the set of feasible committees is non-vacuously restricted, that is, cannot be seen as the set of all committees with a subset of members, a random social choice function is onto and strategy-proof if and only if it is random dictatorial.