Question

(2 points) 5 4 4 0 6 Dominic Annie Florence Dominic Florence Annie Annie Dominic Florence Annie Florence Dominic Florence Dominic Annie Florence Annie Dominic Construct an example with 19 voters in which: 1) Dominic would win with the Plurality method 2) Annie would win with the Borda count method and be a Condorcet candidate (and win with Pairwise Comparison as well), 3) Florence would win if Plurality with Elimination is used 4) Also, Annie has a total of two first place votes. To do this, you will need to answer Parts (a)-(e) so you can fill in the numbers at the top of the preference schedule (a) We have seen that last place votes can make it difficult for someone to win with some of the voting methods. Which of the three candidates should not get any last place votes? Annie (b) Which two columns have the candidate you chose in part (a) in last place (at the bottom)? Select all columns where the candidate you chose in part (a) is in last place. There is more than one correct answer - pick them both. A. Column 1 B. Column 2 C. Column 3 D. Column 4 E. Column 5 F Column 6 Once you get Parts (a) and (b) correct, you now know two columns that should have zeroes at the top of them in the preference schedule to represent no ballots of those orderings from the voters. (c) Florence must win with Plurality with Elimination, but notice that Florence cannot be a majority candidate, because Dominic is supposed to have the most first place votes. If Florence has over 50%, then Dominic must also have more than that, which would be over 50%, and it is not possible for two people to both have over 50% of the first place votes. Hence someone would get eliminated if Plurality with Elimination is used

Answer 1

Answer (a): Annie has been very consistent on the voting pattern in the 6 columns, there it is impediment for Annie to not get any last place orders. (Answer to (a) is Annie).

Answer (b): Annie is at the bottom of Column 5 and Column 2. (Answer to (b) are Column B and Column E).

Answer (c): As per the Plurality of elimination, Annie would be the candidate to get eliminated. Annie would have fewer first place cotes. (Answer to (c) is Annie).

Answer (d): As per the columns, Florence will receive the first place when Annie is eliminated in the Column 4. (Answer to (d) is Column 4).

Answer (e): As per the answers we have opted above and as per the given options in the column, we can justify that the number of first place votes needed to be a majority candidate in the election is 10. (Answer to (e) is 10)