Abstract The Borda rule, originally defined on profiles of individual preferences modelled as linear orders over the set of alternatives, is one of the most important voting rules. But voting rules often need to be used on preferences of a different format as well, such as top-truncated orders, where agents rank just their most preferred alternatives. What is the right generalisation of the Borda rule to such richer models of preference? Several suggestions have been made in the literature, typically considering specific contexts where the rule is to be applied. In this work, taking an axiomatic perspective, we conduct a principled analysis of the different options for defining the Borda rule on top-truncated preferences.

中文翻译：

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博达级

摘要 Borda 规则最初定义为个人偏好的配置文件，建模为对备选方案集的线性顺序，是最重要的投票规则之一。但是投票规则通常也需要用于不同格式的偏好，例如顶部截断的订单，其中代理只对他们最喜欢的替代品进行排名。Borda 规则对这种更丰富的偏好模型的正确概括是什么？文献中提出了一些建议，通常是考虑要应用规则的特定上下文。在这项工作中，从公理的角度来看，我们对定义顶部截断偏好的 Borda 规则的不同选项进行了原则性分析。