1. (3 points) Centipede game Two players, Alice and Bob take turns choosing either to take a slightly larger share of a slowly increasing pot, or to pass the pot to the other player so the pot can grow. The game ends after 100 rounds (hence the name). The extensive form of this game is presented below. pass Alice Bob pass Alice Bob pass . . . . . . end end end end (2, 0) (1, 3) (4, 2) (3, 5) Bob pass pass . . . . . . Alice Bob (100, 100) end end end (97, 99) (100, 98) (99, 101) What is the sub game perfect Nash equilibrium