Can the wolves catch the hare? Say you have 7 positions. 1 Hare and two Wolves in the following starting positions: H o o W W o o The hare can take a step of size 2. The Wolves can take a step of size 1. The game starts by making a step with one of the wolves. The hare and one of the wolves move subsequently. The game is over when the Hare steps on a wolf. Can the wolves win this? If so, how?

The wolves cannot win. Suppose they could. Take a winning sequence of moves such that the hare played in a way that maximized the length of the game. Eventually such a sequences leads to it being some rotation of the starting position with it being the hare's move. Backing up two moves, it is the hare's move in one of the following situations (two are pictured, the other two are similar by symmetry):


o o
W o o o
H W or H W
o o W o


However, now we see that the hare can go to the lower right spot instead of the top spot, extending the game further. This contradicts that the hare played optimally, so the wolves cannot win.