论文标题
在Niedermaier的飞镖游戏中
On a dart game of Niedermaier
论文作者
论文摘要
我们分析了Andy Niedermaier引入的游戏，$ P $玩家轮流在Dartboard上投掷飞镖。除非他的飞镖比以前扔的飞镖更靠近中心，否则球员将被淘汰，在这种情况下，他进入了线的后部，直到只有一个球员保留。使用生成功能，我们确定游戏中掷球数的分布，并获得一个递归公式来计算每个玩家获胜的概率。
We analyze a game introduced by Andy Niedermaier, where $p$ players take turns throwing a dart at a dartboard. A player is eliminated unless his dart lands closer to the center than all previously thrown darts, in which case he goes to the back of the line, until only one player remains. Using generating functions, we determine the distribution of the number of throws in the game, and we obtain a recursive formula to compute the probability that each player wins.
