The City of Phoenix is electing a communications director. The choices for the position are Allen (A), Brady (B), Conrad (C), Davis (D), and Evers (E). The election is conducted, and the preference table is shown below.

Before calculating the results of this election, it is learned that Conrad has dropped out of the race for personal reasons.

a) Using the pairwise comparison method, which candidate is chosen if Conrad is included?

b) Using the pairwise comparison method, which candidate is chosen if Conrad is eliminated from the preference table?

c) Does this second result violate the irrelevant alternatives criterion?

Number of Votes 60 40 40 40 20 10 10 EA D D D D C E BE First Second CE A E C D D E A C BBE B A C B D A A A Third Fourth Fifth