Subgame Perfection, game theory

2. The Ultimatum Game Two players are splitting a resource. The first player chooses to keep a fraction between 0 and 1 for herself, and offers the rest to the other player. The second player can accept or reject the fraction. If accepted the players receive payoffs equal to their fraction. If rejected both players receive nothing. (a) What are the Nash equilibria of this game? Hint: there are a lot! (b) What are the subgame perfect Nash equilibria of this game? Are any equilibria in question 2a not subgame perfect? Why not