Members of the Student Activity Committee at a college are considering three film directors to speak at a campus arts festival: Ron Howard (H), Spike Lee (L), and Steven Spielberg (S). Committee members vote for their preferred speaker. The winner is to be selected by the pairwise comparison method. The preference table for the election is shown.
Number of Votes | 10 | 8 | 5 |
First Choice | H | L | s |
Second Choice | S | S | L |
Third Choice | L | H | H |
a. Using the pairwise comparison method, who is selected as the speaker?
b. Prior to the announcement of the speaker, Ron Howard informs the committee that he will not be able to participate due to other commitments. Construct a new preference table for the election with H eliminated. Using the new table and the pairwise comparison method, who is selected as the speaker?
c. Is the irrelevant alternatives criterion satisfied? Explain your answer.
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EBK THINKING MATHEMATICALLY
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