Concept explainers
Four candidates, Harrison (H), Lennon (L), McCartney (M), and Starr (S), are running for region-al manager. After the polls close, ranked ballots are tallied, and the results are summarized in Figure 6.32.
Number of Ballots Cast | |||||||
23 | 98 | 45 | 82 | 32 | 17 | 21 | |
1st choice | H | L | L | M | M | S | S |
2nd choice | L | M | S | L | L | H | M |
3rd choice | S | H | M | H | S | L | H |
4th choice | M | S | H | S | H | M | L |
a. How many votes were cast?
b. Use the plurality method of voting to determine the winner.
c. What percent of the votes did the winner in part (b) receive?
d. Use the instant runoff method to determine the winner.
e. What percent of the votes did the winner in part (d) receive?
f. Use the Borda count method to determine the winner.
g. How many points did the winner in part (f) receive?
h. Use the pairwise comparison method to determine the winner.
i. How many points did the winner in part (h) receive?
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Chapter 6 Solutions
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