论文标题
两支球队的双打圆形锦标赛中的锦标赛时间表和激励措施
Tournament schedules and incentives in a double round-robin tournament with four teams
论文作者
论文摘要
在一次循环赛中，如果一支球队的最终排名不取决于仍要参加比赛的结果，则一支球队可能会缺乏获胜的动机。本文介绍了一种分类计划，以在与四支球队的双圆形射击比赛中，在两支圆形比赛中毫无抗衡地确定这些分类方案（一个团队无动于衷）或强烈（两支球队都无动于衷）。这种匹配的可能性可以作为比较和评估匹配时间表的新颖公平标准。欧洲欧洲冠军联赛小组舞台说明了我们的方法。构建了一个仿真模型，以比较组匹配的12个有效时间表。某些时间表被证明由其他时间表主导。发现最强大的球队应该在最后一轮比赛中与其中一支中间队在主场比赛，这取决于锦标赛组织者的偏好。选择相对于所提出的公制的最佳匹配序列可以帮助避免无趣的匹配。
In a round-robin tournament, a team may lack the incentive to win if its final rank does not depend on the outcome of the matches still to be played. This paper introduces a classification scheme to determine these weakly (where one team is indifferent) or strongly (where both teams are indifferent) stakeless matches in a double round-robin contest with four teams. The probability that such matches arise can serve as a novel fairness criterion to compare and evaluate match schedules. Our approach is illustrated by the UEFA Champions League group stage. A simulation model is built to compare the 12 valid schedules for the group matches. Some schedules are shown to be dominated by other schedules. It is found that the strongest team should play at home in the last round against one of the middle teams, depending on the preferences of the tournament organiser. Choosing an optimal sequence of matches with respect to the proposed metric can help to avoid uninteresting matches.
