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Approval elections with a variable number of winners

机译：获胜者人数不定的批准选举

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摘要

Multi-winner elections, for example, the election of members to a committee, are now quite common, and include the interesting subclass of elections with a variable number of winners, or VNW elections. In VNW elections, voters determine how many winners there are, as well as which candidates win. Common VNW elections include elections to bestow honorary status, such as enshrinement in a hall of fame, and elections to determine a shortlist of, say, job candidates for interviews. Such elections are VNW elections whenever the number of winners is not specified in advance. Multi-winner elections are often conducted by adapting standard procedures for single-winner elections. Approval balloting is particularly appropriate for multi-winner elections, as every ballot, and the set of winners, are subsets of the set of all candidates. Many methods of counting approval ballots appropriate to VNW elections are reviewed and illustrated, and their properties-desirable and undesirable-discussed.
机译：多赢者选举（例如，委员会成员的选举）现在非常普遍，其中包括有趣的子类别的选举，其中有不同数量的获胜者，即VNW选举。在VNW选举中，选民确定有多少赢家，以及哪些候选人获胜。 VNW的普通选举包括授予名誉的选举，例如在名人堂中供奉，以及确定面试候选人名单的选举。只要未事先指定获奖者人数，此类选举即为VNW选举。多胜者选举通常是通过调整单胜者选举的标准程序来进行的。批准投票特别适合于多获胜者的选举，因为每次投票和获胜者都是所有候选人中的一部分。审查和说明了许多适用于VNW选举的批准选票计数方法，并讨论了它们的特性（理想的和不良的）。

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