Consider a three-period alternating-offer bargaining game in which player 1's discount factor is 0.6 and player 2's discount factor is 0.7. In period 1, player 1 makes an offer m1 to player 2. If player 2 rejects player 1's offer, then the game proceeds to period 2, where player 2 makes an offer m2 to player 1. If player 1 rejects this offer, then the game proceeds to period 3, where player 1 makes an offer m3. If an agreement is reached in period t, then at that time the player who accepted the offer gets mt dollars and the other player gets 1 - mt dollars. If an agreement is not reached by the end of the third period, then both players get 0. What is player 1's payoff in the subgame perfect Nash equilibrium of this game?