Table 1-26 (see Exercise 4 ) shows the preference schedule for an election with five candidates ( A, B, C and D ). In this election ties are not allowed to stand, and the following tie-breaking rule is used: Whenever there is a tie between candidates, the tie is broken in favor of the winner of a head-to-head comparison between the candidates . Use the plurality method to a. find the winner of the election. b. find the complete ranking of the candidates. Table 1-26 Number of voters 202 160 153 145 125 110 108 102 55 1st B C A D D C B A A 2nd D B C B A A C B D 3rd A A B A C D A D C 4th C D D C B B D C B
Table 1-26 (see Exercise 4 ) shows the preference schedule for an election with five candidates ( A, B, C and D ). In this election ties are not allowed to stand, and the following tie-breaking rule is used: Whenever there is a tie between candidates, the tie is broken in favor of the winner of a head-to-head comparison between the candidates . Use the plurality method to a. find the winner of the election. b. find the complete ranking of the candidates. Table 1-26 Number of voters 202 160 153 145 125 110 108 102 55 1st B C A D D C B A A 2nd D B C B A A C B D 3rd A A B A C D A D C 4th C D D C B B D C B
Table 1-26(see Exercise 4) shows the preference schedule for an election with five candidates (A, B, C and D). In this election ties are not allowed to stand, and the following tie-breaking rule is used: Whenever there is a tie between candidates, the tie is broken in favor of the winner of a head-to-head comparison between the candidates. Use the plurality method to
The results of an election are summarized in the following preference table. Determine the winner using the plurality method.
The results of an election are summarized in the following preference table. Determine the winner using the Borda Count method.
Twenty−three
members of the executive committee of the Student Senate must vote for a student representative for the college board of trustees from among three candidates: Greenburg (G), Haskins (H), and Vazquez (V). The preference table follows.
Number of Votes
9
2
8
4
First
V
G
H
H
Second
G
H
V
G
Third
H
V
G
V
Another way to determine the winner if the plurality with elimination method is used is to eliminate the candidate with the most last-place votes at each step. Using the preference table given to the left, determine the winner if the plurality with elimination method is used and the candidate with the most last-place votes is eliminated at each step. Choose the correct answer below.
A.
Haskins
B.
Greenburg
C.
Vazquez
D.
There is no winner. There is a tie between
Vazquez
and
Greenburg.
E.
There is no winner. There is a three-way tie.
A Problem Solving Approach to Mathematics for Elementary School Teachers (12th Edition)
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