Properties of sports ranking methods
本文提出了体育排名方法应具备的公平性和全面性性质，评估了五种常见方法是否满足这些性质，并找到一种在合理条件下满足所有性质的方法。
Ideally, the ranking of sports teams should incorporate information (comprehensiveness) obtained from the outcome of a match, such as the strength of the opponent and schedule. In addition, the ranking method should be fair and not reward teams for poor performance or factors beyond their control, such as the sequence of the matches. We state properties such that if followed, the ranking methods will be fair and comprehensive. We evaluate five popular sports ranking methods and whether or not they adhere to these properties. Further, we identify a ranking method that under reasonably sufficient conditions will satisfy all of the properties.