Abeeda and Lorraine play the following game, using a large pile of wooden blocks. Each player, when it is her turn, must put one, two or three blocks on the Tower. If a person topples the Tower, that player loses and the other player wins the game. It is not allowed to pass - when it is your turn you have to play. For simplicity, assume that the Tower always topples when the 13th block is added and both players are fully aware of this. Solve this game using backwards induction. Who will win the game if both players are perfectly rational and Lorraine moves first? Explain. What is the winning strategy?