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Day 3:  Plurality with elimination, Runoff method, Condorce Day 3:  Plurality with elimination, Runoff method, Condorce

Day 3: Plurality with elimination, Runoff method, Condorce - PowerPoint Presentation

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Day 3: Plurality with elimination, Runoff method, Condorce - PPT Presentation

Txt1213 amp SOL DM8 Classwork p33 27abc run off 29ab run off 31 33ab run off Homework day 3 p33 28 run off 30 run off 32 34ab run off Plurality with Elimination Sequential RunOff ID: 495269

candidate run watch majority run candidate majority watch https www votes youtube voters wins election candidates winner day needed

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Slide1

Day 3: Plurality with elimination, Runoff method, Condorcet criterion(Txt:1.2,1.3 & SOL: DM.8)

Classwork:

p.33 (27abc run off, 29ab run off, 31,

33ab run off)

Homework (day 3):

p.33 (28 run off, 30 run off, 32, 34ab run off)Slide2

Plurality with Elimination (Sequential Run-Off)

Each voter votes for one candidate.

A candidate that receiving the majority of the votes is declared the winner.

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.You follow this process until a candidate receives the majority of votes.

https://www.youtube.com/watch?v=r-VmxJQFMq8

https

://

www.youtube.com/watch?v=Ak7q5XSMCyASlide3

Ex

6

7

5

3

9

31stCACABD2ndACDDAA3rdBBBBDC4thDDACCB

How many voters are there? 33 Therefore how many are needed for a majority? 17A = 10, B = 9, C = 11, D = 3Who has the majority? No one so D looses and is eliminatedSlide4

 

6

7

5

3

9

31CACA

BA

2

A

C

B

B

A

C

3BBACCB

Eliminate D

 

6105391CACAB2ACBBA3BBACC

 6105391CACAA2ACACC

Eliminate B

 

22111AC2CA

Therefore A wins!!!!Slide5

Run – off MethodYou only keep the top two first place voters and have an election between those two.

https://

www.youtube.com/watch?v=RsT1NYsPn2oSlide6

Ex

8

9

5

4

2

1stCEBAA2ndADCDC3rdBBEBB4thECAC

D5thDAD

EE

How many voters are there? 28 Therefore how many are needed

for a majority? 15A = 6, B = 5, E = 9 C = 8, D

= 03) Who should you keep? C and E

 

8

9

542

1

C

ECCC2ECEEE 1991CE2EC4) Who is the winner? CSlide7

Condorcet Criterion1. 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 winsThen 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

https://

www.youtube.com/watch?v=r-VmxJQFMq8

(Begin at 4:30 minutes into video)https://www.youtube.com/watch?v=5RtOCvFqIKkSlide8

Ex

A

A

AB

B

C

CBBBCCBBCCCAAAAA versus B 3 to 4 B winsAAABB

CCBBBC

CB

BCC

CA

AAA

B versus C 5 to

2 B wins

A

AABBCCBBBCCBBCC

CAA

AA