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Voting
Procedures
Majority Rule
• Majority rule is when a vote gets over 50% of the votes.
MaJorityrule&pluralityvoting
• Majority rule:
• The candidate who receives an absolute majority (
more than half the votes ) wins.
• Plurality voting:
• Candidate who receives most votes wins.
candidate A B C
# votes
received
23 28 12
Example
Majority rule: No candidate wins
Plurality voting: Candidate B wins
Plurality voting
Votes Winning
Option:
Total Votes:
Option A: Poutine 8
Option B: New York 8
Option C: History 6
The candidate who receives the most
votes wins.
Options:
(A)
Votes:
Pizza: 3
Poutine: 8
Chicken: 3
Ice cream: 4
Total:
18
Options: (B) Votes:
Paris: 2
London
England:
2
Rome: 6
New York
City:
8
Total:
18
Options: (C) Votes:
Gym: 5
Art/Music/
Drama
4
Math: 3
History: 6
Total:
18
Borda count
• Each voter ranks candidates by order of preference.
• If there are n candidates n points will go to each voter’s
FIRST choice…
• n -1 to their SECOND etc..
• The candidate with the most points wins.
Borda Count
• Borda Count is adding the amount based on the results.
18 14 12 10
1st
choice
(X3)
A B C C
2nd
choice
(X2)
B A A B
3rd
Answers
• A-(18 x 3)+(14 x 2)+(12 x 2)+(10 x 1)=116
• B-(18 x 2)+(14 x 3)+(12 x 1)+(10 x 2)=110
• C-(18 x 1)+(14 x 1)+(12 x 3)+(10 x 3)=98
• A has more points so they are the winner
Condorcet method
• Each voter ranks candidates by order of preference.
• The candidate who defeats all other candidates one-on-
one wins.
• http://www.youtube.com/watch?v=5RtOCvFqIKk
Condorcet Method
Condorcet Method is the most preferred of
the votes such as A-B, A-C, B-C and you
compare to see who wins…..
18 14 12 10
1st
choice
A B C C
2nd
choice
B A A B
3rd
choice
C C B A
Answers
• A vs B= A(18+12=30) - B(14+10=24)- A wins
• A vs C= A(18+14=32) - C(12+10=22)- A wins
• B vs C= B(18+14=32) - C(12+10=22)- B wins
• A is most preferred so A is the winner.
Proportional representation
Under a proportional representation voting system, if 30%
of voters support a particular party then roughly 30% of
available seats will be won by that party.

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CST 504 Voting Procedure Introduction

  • 2. Majority Rule • Majority rule is when a vote gets over 50% of the votes.
  • 3. MaJorityrule&pluralityvoting • Majority rule: • The candidate who receives an absolute majority ( more than half the votes ) wins. • Plurality voting: • Candidate who receives most votes wins. candidate A B C # votes received 23 28 12
  • 4. Example Majority rule: No candidate wins Plurality voting: Candidate B wins
  • 5. Plurality voting Votes Winning Option: Total Votes: Option A: Poutine 8 Option B: New York 8 Option C: History 6 The candidate who receives the most votes wins.
  • 6. Options: (A) Votes: Pizza: 3 Poutine: 8 Chicken: 3 Ice cream: 4 Total: 18 Options: (B) Votes: Paris: 2 London England: 2 Rome: 6 New York City: 8 Total: 18 Options: (C) Votes: Gym: 5 Art/Music/ Drama 4 Math: 3 History: 6 Total: 18
  • 7. Borda count • Each voter ranks candidates by order of preference. • If there are n candidates n points will go to each voter’s FIRST choice… • n -1 to their SECOND etc.. • The candidate with the most points wins.
  • 8. Borda Count • Borda Count is adding the amount based on the results. 18 14 12 10 1st choice (X3) A B C C 2nd choice (X2) B A A B 3rd
  • 9. Answers • A-(18 x 3)+(14 x 2)+(12 x 2)+(10 x 1)=116 • B-(18 x 2)+(14 x 3)+(12 x 1)+(10 x 2)=110 • C-(18 x 1)+(14 x 1)+(12 x 3)+(10 x 3)=98 • A has more points so they are the winner
  • 10. Condorcet method • Each voter ranks candidates by order of preference. • The candidate who defeats all other candidates one-on- one wins. • http://www.youtube.com/watch?v=5RtOCvFqIKk
  • 11. Condorcet Method Condorcet Method is the most preferred of the votes such as A-B, A-C, B-C and you compare to see who wins….. 18 14 12 10 1st choice A B C C 2nd choice B A A B 3rd choice C C B A
  • 12. Answers • A vs B= A(18+12=30) - B(14+10=24)- A wins • A vs C= A(18+14=32) - C(12+10=22)- A wins • B vs C= B(18+14=32) - C(12+10=22)- B wins • A is most preferred so A is the winner.
  • 13. Proportional representation Under a proportional representation voting system, if 30% of voters support a particular party then roughly 30% of available seats will be won by that party.