Consider a divide-the-dollar game in which five citizens {X, Y, A, B, C} divide a single dollar among them. A policy here is an allocation of the dollar among all five citizens (dX, dY , dA, dB, dC), where di is the amount of money that individual i gets. We have argued before that no Condorcet winner allocation exists in this game. We now suppose that citizens X and Y are also candidates, besides being voters. They propose allocations sequentially: X proposes first, then Y proposes second. All five citizens vote on the two proposed allocations and the outcome is decided based on simple majority rule. (i) Suppose that the two candidates are solely office-motivated. Show that Y wins the election for sure