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 |