Romeo and Juliet are a married couple and they are deciding whether to buy a at or not. They are on the same boat: if the real estate market is going up, they would both bene t from buying; otherwise, they would both suer. The challenge they face is that they are uncertain about the future performance of the real estate market. To model the situation more concretely, let there be two states: good state and bad state. If they decide to buy the at, they both gain a payoof 1 in the good state, and they both suer a payo of 1 in the bad state. If they decide not to buy, their payos are both 0. They share a common prior belief that the state is good with probability 0:3. (a) At the prior belief, will they buy the at? (b) What is the range of belief (about good state) that they nd pro table to buy the at? As buying a at is a major decision for the household, they will go ahead if and only if unanimity is reached. They each write down their individual vote ("For" or "Against") in a sealed envelope anonymously and simultaneously