  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.
