Monte Carlo Skill Estimation for Darts

Thomas Miller, Christopher Archibald
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Abstract

In physical games, like darts, the ability of a player to accurately execute an intended action has a significant impact on their success. Determining this execution precision, or skill, for players is thus an important task. Knowledge of skill can be used for player feedback, computer-aided strategy decisions, game handicapping, and opponent modeling. Challenges to estimating player ability include getting precise feedback on executed actions as well as performing the estimation in a natural and user-friendly way. A previous method for estimating skill in darts overcomes the first challenge, but falls short on the second, requiring players to throw 50 darts at the center of the dartboard, which is not a common target in most darts games. In this paper we present an extension of this previous method that enables skill to be estimated when darts are aimed anywhere, not just the center of the dartboard. This method is then utilized to develop a much more efficient and adaptive skill estimation method which requires far fewer darts than the previous method. Experimental results demonstrate the advantages of the proposed approach and additional possible applications are discussed.
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蒙特卡罗技能估计的飞镖
在飞镖等体力游戏中,玩家准确执行预期动作的能力对他们的成功有着重要影响。因此,决定玩家的执行精度或技能是一项重要任务。技能知识可以用于玩家反馈、计算机辅助策略决策、游戏障碍和对手建模。评估玩家能力的挑战包括获得关于执行动作的准确反馈,以及以自然且用户友好的方式进行评估。先前评估飞镖技能的方法克服了第一个挑战,但在第二个挑战中就不够了,要求玩家向飞镖中心投掷50个飞镖,这在大多数飞镖游戏中并不常见。在本文中,我们提出了一种扩展以前的方法,使技能的估计,当飞镖是针对任何地方,而不仅仅是中心的飞镖。然后利用该方法开发出一种比以前的方法更有效和自适应的技能估计方法,该方法所需的飞镖要少得多。实验结果证明了该方法的优点,并讨论了其他可能的应用。
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