plurality with elimination, runoff method, condorcet criterion
TRANSCRIPT
Plurality with elimination, Runoff method, Condorcet criterion
Plurality with Elimination
1. Each voter votes for one candidate.2. A candidate that receiving the majority
of the votes is declared the winner.3. If no candidate receives a majority of the
votes, then the candidate/candidates with the fewest votes is dropped from the ballot and a new election is held.
4. You follow this process until a candidate receives a majority of votes.
Example6 7 5 3 9 3
1st C A C A B D
2nd A C D D A A
3rd B B B B D C
4th D D A C C B
Run – off Method
You only keep the top two first place voters and have an election between those two.
Example8 9 5 4 2
1st C E B A A
2nd A D C D C
3rd B B E B B
4th E C A C D
5th D A D E E
Condorcet Criterion
If candidate X can defeat each of the other candidates in a head-to-head vote, then X is the winner of the election.
Say you have candidates:A,B,C,D
First say A vs. B if B winsThen try B vs. C if B wins
Then try B vs. DHowever, if C won in step 2 then you have to
go back and check C vs. A and C vs. D
ExampleA A A B B C C
B B B C C B B
C C C A A A A
Assignments
Classwork – Pg 33-35 27 (a,b,c, Run-off), 20 (a,b, Run-off), 31, 33 (a,b, Run – off)
Homework - Pg 33-35 28 (Run-off), 30 (Run-off), 32, 34 (a,b, Run – off)