Practice with election methods
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451
Given the election below
i. Determine the winner of the election using:
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?
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is increased by 1.
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is decreased by 1.
Redo Question 1 where the number of votes for each of the ballots in Figure 1 is doubled.
In Figure 1 what fraction of voter ranked E in third place? In Figure 1 what percentage of voters ranked C in second place?
How might one implement the "spirit' of approval voting using ranked ballots rather than an approval ballot?
Did did you learn by doing Questions 2, 3, and 4? (Are there "theorems" lurking here somewhere?)