1. There are two players, A and B, and there is a pile of N quarters. The players take turns removing quarters from the pile. Each time, the player whose turn it is may remove one or two quarters from the pile. Player A goes first. Whoever is forced to remove the final quarter is the loser. (a) There are a few rollback equilibria of this game. Find one, and give each player's strategy. (b) Is it better to go first or second in this game (is there a first- or second-mover advantage)? (c) Who wins if there are 18 markers