Question 9.38

8. The mathematics department is hiring a new faculty member and the five-person hiring committee has interviewed four candidates: Adam, Beth, Carol, and Dan. They have decided to use Condorcet’s method on their five ballots (reproduced in the following table). Who gets the offer?

Voter 1 Voter 2 Voter 3 Voter 4 Voter 5
First
choice
Adam Dan Carol Dan Beth
Second
choice
Beth Beth Adam Adam Adam
Third
choice
Carol Carol Beth Carol Dan
Fourth
choice
Dan Adam Dan Beth Carol