冠状病毒与体育联盟:在赛季无法恢复时获得公平的排名

IF 1.9 3区工程技术 Q3 MANAGEMENT

IMA Journal of Management Mathematics Pub Date : 2021-08-01 DOI:10.1093/imaman/dpab020

László Csató

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引用次数: 5

摘要

摘要许多体育联赛都是以严格安排的循环赛形式进行的，因此推迟比赛的时间窗口有限。如果由于2020年的冠状病毒疫情等外部冲击而无法恢复本赛季，那么球队的排名就变得不重要了：有必要考虑到赛程的不平衡，并可能考虑到不同的比赛次数。首先在文献中，我们确定了一组期望的公理，用于在这些不完全锦标赛中进行排名。验证了广义行和作为一个参数族的评分规则满足所有这些规则。特别是，公认的最小二乘法最大限度地提高了对手实力对排名的影响。我们的方法适用于六项主要的欧洲顶级足球比赛，这些比赛的排名在对手实力调整的权重方面是稳健的。还讨论了一些方法上更简单的替代政策。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume

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 generalized 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.

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来源期刊

IMA Journal of Management Mathematics OPERATIONS RESEARCH & MANAGEMENT SCIENCE-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

17.60%

发文量

审稿时长

>12 weeks

期刊介绍： The mission of this quarterly journal is to publish mathematical research of the highest quality, impact and relevance that can be directly utilised or have demonstrable potential to be employed by managers in profit, not-for-profit, third party and governmental/public organisations to improve their practices. Thus the research must be quantitative and of the highest quality if it is to be published in the journal. Furthermore, the outcome of the research must be ultimately useful for managers. The journal also publishes novel meta-analyses of the literature, reviews of the "state-of-the art" in a manner that provides new insight, and genuine applications of mathematics to real-world problems in the form of case studies. The journal welcomes papers dealing with topics in Operational Research and Management Science, Operations Management, Decision Sciences, Transportation Science, Marketing Science, Analytics, and Financial and Risk Modelling.