论文标题
结构化委员会的结构性投票
Structured Voting for Structured Committees
论文作者
论文摘要
最近在多翼投票系统上进行了很多工作。但是，有时委员会是高度结构化的，如果我们想投票赞成这样的委员会，我们的投票方法也应该更加结构化。我们考虑由代表组成的集体委员会的委员会；例如，组织的n个部门可能每个人都有可能选择的代表。但是，在我们的模型中，整个人口仍然可以对委员会进行投票，我们需要尊重这种对称性，我们通过在Barcelo等人的早期工作来进行对称。使用花环产品的代表理论。本文的主要目的是在此框架中宣传和分类令人惊讶的基于点的（线性）投票方法。例如，如果选民对所有可能的结构化委员会进行排名，则使用取决于排名委员会之间关系的权重可能是合理的，而不仅仅是他们的命令，例如“传统”投票框架！
There has been much recent work on multiwinner voting systems. However, sometimes a committee is highly structured, and if we want to vote for such a committee, our voting method should be more structured as well. We consider committees consisting of representatives for disjoint parts of a collective; for instance, n departments of an organization might each have m possible representatives to choose from. However, in our model the entire population still gets to vote on the committee, and we need to respect that symmetry, which we do by building on earlier work of Barcelo et al. using representation theory of wreath products. The main thrust of this paper is to advertise and catalog the surprising variety of possible points-based (linear) voting methods in this framework. For instance, if a voter ranks all possible structured committees, it may be reasonable to use weights which depend on the relations between the ranked committees, and not just their order as in 'traditional' voting frameworks!
