In many real world situations, the design of social rankings over agents or items from a given raking over groups or coalitions, to which these agents or items belong to, is of big interest. With this aim, we revise the lexicographic excellence solution and introduce two novel solutions which, moreover, take into account the size of the groups. We present some desirable axioms which are interpreted in this context. Next, a comparable axiomatization of these three solutions is established, revealing the main differences among the two new social rankings and the lexicographic excellence solution. Finally, we apply the three social rankings under study to a real scenario. Specifically, the performance of some football players of Paris Saint-Germain during the UEFA Champions League according to these three rules is analyzed.

在许多现实世界的情况下，对来自给定的代理或项目所属的团体或联盟的代理或项目的社会排名的设计是非常有趣的。为此，我们修改了词典编纂卓越解决方案，并引入了两种新颖的解决方案，此外，它们还考虑了群体的规模。我们提出了一些在这种情况下解释的理想公理。接下来，建立这三个解决方案的可比公理化，揭示两个新的社会排名和词典卓越解决方案之间的主要差异。最后，我们将所研究的三个社会排名应用到实际场景中。具体来说，根据这三个规则来分析巴黎圣日耳曼队部分球员在欧冠联赛中的表现。