Person A and person B need to split $400. They both have a utility function of: U(x) = 3x, where x is income. There are two arbitrators in the market. Based on their beliefs, if they go to arbitrator M, there is a 50% chance that person A will receive $160 and person B will receive $240, and 50% chance that person A will receive $240 and person B will receive $160. If they go to arbitrator N, there is an 80% chance that person A will receive $225 and person B will receive $175, and 20% chance that person A will receive $100 and person B will receive $300. (1) (5 points) Who would person A go to for arbitration? Why? (2) (5 points) How much is person B willing to give up to avoid arbitration? (3) (5 points) What is the contract zone?