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基于概率的澳大利亚式足球选秀球员分配方法。

A probability based approach for the allocation of player draft selections in Australian rules football.

机构信息

School of Mathematical and Geospatial Sciences, RMIT University , Bundoora, VIC, Australia.

出版信息

J Sports Sci Med. 2006 Dec 15;5(4):509-16. eCollection 2006.

Abstract

Australian Rules Football, governed by the Australian Football League (AFL) is the most popular winter sport played in Australia. Like North American team based leagues such as the NFL, NBA and NHL, the AFL uses a draft system for rookie players to join a team's list. The existing method of allocating draft selections in the AFL is simply based on the reverse order of each team's finishing position for that season, with teams winning less than or equal to 5 regular season matches obtaining an additional early round priority draft pick. Much criticism has been levelled at the existing system since it rewards losing teams and does not encourage poorly performing teams to win matches once their season is effectively over. We propose a probability-based system that allocates a score based on teams that win 'unimportant' matches (akin to Carl Morris' definition of importance). We base the calculation of 'unimportance' on the likelihood of a team making the final eight following each round of the season. We then investigate a variety of approaches based on the 'unimportance' measure to derive a score for 'unimportant' and unlikely wins. We explore derivatives of this system, compare past draft picks with those obtained under our system, and discuss the attractiveness of teams knowing the draft reward for winning each match in a season. Key PointsDraft choices are allocated using a probabilistic approach that rewards teams for winning unimportant matches.The method is based upon Carl Morris' Importance and probabilistic calculations of making the finals.The importance of a match is calculated probabilistically to arrive at a DScore.Higher DScores are weighted towards teams winning unimportant matches which in turn lead to higher draft selections.Provides an alternative to current draft systems that are based on 'losing to win'.

摘要

澳式足球(Australian Rules Football)由澳大利亚澳式足球联盟(Australian Football League,简称 AFL)管理,是澳大利亚最受欢迎的冬季运动。与北美基于团队的联盟(如 NFL、NBA 和 NHL)一样,AFL 也使用选秀制度让新球员加入球队名单。AFL 中现有选秀顺位分配方法只是简单地根据每个赛季球队的最终排名倒序排列,赢得常规赛少于或等于 5 场比赛的球队将获得额外的首轮优先选秀权。由于该系统奖励输球的球队,并且不鼓励表现不佳的球队一旦赛季结束就赢得比赛,因此该系统受到了很多批评。我们提出了一种基于概率的系统,该系统根据赢得“不重要”比赛的球队来分配分数(类似于卡尔·莫里斯对重要性的定义)。我们根据球队在每个赛季的每轮比赛后进入最后八强的可能性来计算“不重要”的程度。然后,我们根据“不重要”的衡量标准,研究了多种方法,得出了“不重要”和不太可能获胜的分数。我们探讨了该系统的衍生方法,将过去的选秀权与我们系统下获得的选秀权进行了比较,并讨论了球队在知道赢得每个赛季的比赛将获得选秀奖励时的吸引力。要点:选秀顺位使用概率方法分配,奖励赢得不重要比赛的球队。该方法基于卡尔·莫里斯的重要性和进入决赛的概率计算。根据进入决赛的概率来计算比赛的重要性,得出 DScore。较高的 DScore 更倾向于赢得不重要比赛的球队,这反过来又导致更高的选秀顺位。为基于“输球赢球”的现行选秀制度提供了替代方案。

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