Consider the following game, referred to as the Ultimatum Game.

3. Consider the following game, referred to as the Ultimatum Game. Suppose that there is $100 to divide between two people. Player 1 makes an offer :1: to player 2 for how much money player 2 would get. Note that 0 S a: g 100. Player 2 then can choose to accept or reject the offer. If 2 accepts, then her payoff is {I} and 1's payoff is 100 :3. If two rejects, then each player gets 0. (a) What are the pure strategy sets for each player? (b) Find all subgame perfect Nash equilibria. (0) Are there any other Nash equilibria