81 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method.
|
Number of Votes |
37 |
21 |
12 |
11 |
|---|---|---|---|---|
|
First Choice |
D |
A |
B |
C |
|
Second Choice |
A |
B |
C |
D |
|
Third Choice |
B |
C |
A |
A |
|
Fourth Choice |
C |
D |
D |
B |
81 voters are asked to rank four brands of cereal: A, B, C, and D. The votes are summarized in the preference table shown below. Determine the winner using the plurality-with-elimination method....
Suppose that the plurality with elimination method is used on the following preference table. If the 7 voters who voted A, C, B, in that order, change their votes to C, A, B, determine if the monotonicity criterion satisfied. Number of Votes 3 6 7 12 First A B A C Second B C C A Third C A B B Is the monotonicity criterion satisfied?
The Coombs method for plurality voting is very similar to the Plurality with Elimination method we practiced in class. The only difference is that the elimination round eliminates the candidate with the largest number of last-place votes (rather than the candidate with the least number of first place votes). Use the Coombs method to determine the winner of a race between candidates A, B, C, and D, where voters have the following preferences between the candidates: Rank of preferences: #...