AI 中文总结
该研究从液体民主视角研究同行选择问题，引入液体概貌，分析比例公理在该域的表现及相关投票规则，发现可实现强比例保障，具现实应用潜力。
AI 中文摘要
我们研究同行选择问题，即一组同行需从自身中选出固定规模的委员会。为此，受液体民主中的委托图及其中信任的传递性启发，我们引入一类基于认可的偏好概貌，称之为“液体概貌”。在这一新的域限制下，每个投票者指定一名可信代理人，进而认可该个体所信任的所有人。在建立与标准受限偏好概貌的关系并考察液体概貌的计算属性后，我们聚焦于理解新型及已有的比例公理在该域中的表现及其相互关系。随后，我们研究各类投票规则下这些公理的满足情况，包括直接受液体概貌结构启发的新规则。我们的发现表明，在这一新域中可实现特别强的比例保障，显示出通过传递委托应用于现实世界同行选择问题的潜力。
英文摘要
We study the peer selection problem in which a group of peers must select a fixed-size committee from among themselves. To this end, we introduce a class of approval-based preference profiles, inspired by delegation graphs in liquid democracy and the transitivity of trust therein, which we call ``liquid profiles''. Under this new domain restriction, each voter designates a single trusted agent and, in turn, approves all those trusted by that individual. After establishing relationships to standard restricted preference profiles and examining computational properties of liquid profiles, we focus on understanding how novel and established proportionality axioms behave in this domain and how they relate to one another. Then, we study their satisfaction under various voting rules, including new ones that are directly inspired by the structure of liquid profiles. Our findings reveal that particularly strong proportionality guarantees are attainable in this new domain, showing promise for applications to real-world peer selection problems via transitive delegations.
