three-person committee has to choose whom to hire at McBain consulting rm. After some debate, there are three candidates still under consideration. Each interviewed well but the rst came across as a bit arrogant; the second, as a bit brusque; and the third, as a bit cantankerous all qualities valued highly at McBain. Lets call these candidates a, b and c; and call the committee members 1,2 and 3. The preferences of the committee members are as follows: member 1 prefers a to b and b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The rules of the hiring committee say that, if they disagree, they should vote (secret ballot, one member one vote) and that, if and only if the vote is tied, the winner will be the candidate for whom member 1 (the chairperson) voted. Thus, it might seem that member 1 has an advantage. How should the members vote, and which candidate will get hired? The following gets you to reason through this slowly