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A Probability Based Approach for the Allocation of Player Draft Selections in Australian Rules Football

机译:基于规则的澳大利亚规则足球运动员选秀分配方法

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摘要

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 Points class="unordered" style="list-style-type:disc">Draft 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’.
机译:由澳大利亚橄榄球联盟(AFL)管辖的澳大利亚规则足球是澳大利亚最受欢迎的冬季运动。与NFL,NBA和NHL等基于北美球队的联赛一样,AFL使用草案系统让新秀球员加入球队名单。在AFL中分配选秀权的现有方法仅是基于该赛季每支球队终点排名的相反顺序,胜出少于或等于5场常规赛的球队将获得额外的早期回合优先选秀权。由于它奖励失去的球队并且不鼓励表现不佳的球队在赛季结束后赢得比赛,因此对现有系统的批评很多。我们建议一种基于概率的系统,该系统根据赢得“不重要”比赛的球队分配得分(类似于卡尔·莫里斯的重要性定义)。我们计算“不重要”的依据是一支球队在本赛季每个回合之后进入最后八支球队的可能性。然后,我们基于“无关紧要”的度量方法研究各种方法,以得出“无关紧要”和不太可能获胜的分数。我们将探索该系统的派生产品,将过去的选秀权与在我们的系统下获得的选秀权进行比较,并讨论知道一个赛季赢得每场比赛的选秀奖励的球队的吸引力。 style-type:disc“> <!-list-behavior = unordered prefix-word = mark-type = disc max-label-size = 0-> 使用概率方法分配草稿选择,该方法奖励团队赢得不重要的比赛。 该方法基于卡尔·莫里斯(Carl Morris)的重要性以及打进决赛的概率计算。 根据概率计算比赛的重要性,以得出DScore。 / li> 较高的DScores用于赢得不重要比赛的球队,这反过来又会导致较高的选秀人数。 为基于“输赢”的当前选秀系统提供替代方案。 li>

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