We analyze the winning coalitions that arise under Bloc voting when voters preferences are single-peaked. For small numbers of candidates and numbers of winners, we determine conditions under which candidates in winning coalitions are adjacent. We also analyze the results of pairwise contests between winning and losing candidates and assess when the winning coalitions satisfy several proposed extensions of the Condorcet criterion to multiwinner voting methods. Finally, we use Monte Carlo simulations to investigate how frequently these coalitions arise under different assumptions about voter behavior.

翻译：本文分析了当投票者偏好呈单峰分布时，区块投票机制下产生的获胜联盟。针对候选人数目较少且当选者数量有限的情形，我们确定了获胜联盟中候选人具有相邻性的条件。同时，我们通过成对对比分析了获胜候选人与落选候选人之间的竞争结果，并评估了获胜联盟在何种情况下满足多种针对多席位投票方法提出的孔多塞准则扩展形式。最后，我们采用蒙特卡洛模拟方法，在不同投票行为假设下研究了这些联盟出现的频率特征。