Ch. 14-- VotingPreference tables

• E, F, G, and H are running for math club president

• If everyone is asked to rank their preferences, how many different ballots could exist? ____

• Instead, we only get 4 as seen on the right.

• Question: Which one should win?

Number of votes

150 110 80 7

1st place E F F G

2nd place F G H F

3rd place G H G H

4th place H E E E

Different voting techniques

• Plurality• Borda Count• Plurality with Elimination• Pairwise comparison– See book for definitions (p. 777)

– See book for Ex. #1: PRST (p. 775- )

Ex #2-- PluralityNumber of votes

130 120 100 150

1st place A D D C

2nd place B B B B

3rd place C C A A

4th place D A C D

Ex #2-- Borda CountNumber of votes

130 120 100 150

1st place A D D C

2nd place B B B B

3rd place C C A A

4th place D A C D

Ex 2- Plurality with EliminationNumber of votes

130 120 100 150

1st place A D D C

2nd place B B B B

3rd place C C A A

4th place D A C D

Ex 2- Pairwise ComparisonNumber of votes

130 120 100 150

1st place A D D C

2nd place B B B B

3rd place C C A A

4th place D A C D