Practice with election methods
Prepared by:
Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451
email:
malkevitch@york.cuny.edu
web page:
http://york.cuny.edu/~malk
Given the election below
Question 1:
i. Determine the winner of the election using:
a. Plurality
b. Run-off
c. Sequential run-off
d. Borda count (using as the number of points for a particular candidate the number of candidates below that candidate on the ballot)
e. Condorcet method (Is there a winner in this case?)
ii. If instead of picking a single winner you needed to select a ranking (perhaps with ties allowed) what ranking would you produce using the "spirit" of each of the methods above?
Question 2:
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is increased by 1.
Question 3:
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is decreased by 1.
Question 4
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is doubled.
Question 5
In Figure 1 what fraction of voter ranked E in third place? In Figure 1 what percentage of voters ranked C in second place?
Question 6
How might one implement the "spirit' of approval voting using ranked ballots rather than an approval ballot?
Question 7
Did did you learn by doing Questions 2, 3, and 4? (Are there "theorems" lurking here somewhere?)