冠状病毒和体育联盟：在赛季无法恢复时获得公平的排名
Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume
摘要：
许多体育联赛都是以严格的循环赛形式进行的，这使得推迟比赛的时间有限。如果赛季因外部冲击（如2020年的冠状病毒疫情）而无法恢复，球队的排名就变得不那么简单了：有必要考虑赛程的不平衡以及可能的比赛数量的不同。首先在文献中，我们确定了一组所需的公理在这些不完整的比赛排名。它被验证，广义行和，参数家庭的评分规则，满足所有这些。特别是，成熟的最小二乘法最大限度地提高了对手的实力对排名的影响。我们的方法是适用于六个主要的总理欧洲足球比赛，排名被发现是强大的关于调整对手的实力的权重。一些方法上更简单的替代政策进行了讨论。
英文摘要：
Many sports leagues are played in a tightly scheduled round-robin format, leaving a limited time window to postpone matches. If the season cannot resume due to an external shock such as the coronavirus pandemic in 2020, the ranking of the teams becomes non-trivial: it is necessary to account for schedule imbalances and possibly for the different number of matches played. First in the literature, we identify a set of desired axioms for ranking in these incomplete tournaments. It is verified that the generalised row sum, a parametric family of scoring rules, satisfies all of them. In particular, the well-established least squares method maximizes the influence of the strength of opponents on the ranking. Our approach is applied for six major premier European soccer competitions, where the rankings are found to be robust concerning the weight of adjustment for the strength of the opponents. Some methodologically simpler alternative policies are also discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
