Game theory question: A committee has three members; there are five alternatives. One member prefers x to y to v to w to z, another prefers z to x to v to w to y, and the third prefer y to z to w to v to x. Find the top cycle set, and for each alternative 'a' in the set design a binary agenda for which a is the outcome of sophisticated voting. Convince yourself that for no binary agenda is the outcome of sophisticated voting outside the top cycle set.