A mathematical game
for two player
s. The game starts with one or more line
s of pins, and the players take turns removing either one pin or two adjacent
pins from any line. (This represents knocking them down with a bowling
ball.) The winner is the player who removes the last pin.
If the game is played with a single line of pins, the first player wins by a symmetry strategy. They begin by removing the central one or two pins, leaving two lines of equal length. Then whatever their opponent does to one line, they do the same to the other line of the same length.