The City of Detroit is electing a communications director. The choices for the position are Allen (A),

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The City of Detroit 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.

Number of Votes 60 40 40 40 20 10 10 First B A D Second D D D B Third A D D Fourth A B B B А с в D A A Fifth A B A 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?

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A Survey of Mathematics with Applications

ISBN: 978-0134112107

10th edition

Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde

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