论文标题
罚球大战中的公平性：是否值得使用动态序列？
Fairness in penalty shootouts: Is it worth using dynamic sequences?
论文作者
论文摘要
动态团队锦标赛中的一系列举动可能会扭曲前胜利的概率和伤害效率。本文比较了从理论的角度来比较七个确定踢出顺序的足球点球枪战规则。他们的公平性是在合理的首次推动力优势模型中评估的。我们还讨论了达到突然死亡阶段的概率。在固定评分概率的情况下，动态机制并不比静态规则更好。但是，值得通过将其成为突然死亡阶段的第一名来补偿第二越野车的情况。我们的工作有可能影响决策者，这些决策者可以通过精心选择的行动来确保动态锦标赛的更公平的成果。
The sequence of moves in a dynamic team tournament may distort the ex-ante winning probabilities and harm efficiency. This paper compares seven soccer penalty shootout rules that determine the kicking order, from a theoretical perspective. Their fairness is evaluated in a reasonable model of First Mover Advantage. We also discuss the probability of reaching the sudden death stage. In the case of stationary scoring probabilities, dynamic mechanisms are not better than static rules. However, it is worth compensating the second-mover by making it the first-mover in the sudden death stage. Our work has the potential to impact decision-makers who can guarantee fairer outcomes in dynamic tournaments by a carefully chosen sequence of actions.
