The preference schedule below represents an election among George (G), Holly (H), James (J), and Inez (I).

How many rounds will it take to determine a winner using the Method of Plurality with Elimination? answer

   

# of Voters

 

Place

13 12 10
1st G I J
2nd H H G
3rd J J H
4th I G I

Using the Method of Plurality with Elimination, which candidate is eliminated in the first round? answer

Since Round 1 eliminated a candidate, Round 2 begins with the 3 remaining candidates.

IMPORTANT POINT!!
Since each voter completed a preference ballot (all of which are summarized in the preference schedule above), we do not have to hold a new election. We simply remove the eliminated candidate from the preference schedule and adjust the remaining candidates appropriately. For instance, if a column of a preference schedule was B (1st), A (2nd), C (3rd), D (4th) and candidate A got eliminated, the column would be B (1st), C (2nd), D (3rd) in the preference schedule for the next round. In other words, for each column of a preference schedule, each candidate below an eliminated candidate moves up one place while the positions of candidates above an eliminated candidate remain unchanged.

Write out the preference schedule for Round 2 (the round with the 3 candidates left after Round 1). answer

Which candidate is eliminated in the second round? answer

Write out the preference schedule for Round 3 (the round with the 2 candidates left after Round 2). answer

Which candidate is eliminated in the third (and final) round? answer

Who wins the election using the Method of Plurality with Elimination? answer

Back