4. Two players are to divide $100 as follows: Player I makes an offer that Player 2 can either accept or reject; if she rejects, Player 2 makes an offer that Player I can either accept or reject; and so on for multiple rounds. If an offer is accepted, each player gets her share; if not, both get zero. Future rounds are discounted by 0.9. Consider the following games: a) The game lasts 3 rounds. What division(s) can be supported in a SPNE? 11 b) The game can continue for infinite rounds. What is the SPNE of the game? 8 c) What happens if the future is discounted less and less? What if it is not discounted at all? 6