Weighted Voting Weighted Voting Systems 2010 Pearson Education
- Slides: 20
Weighted Voting
Weighted Voting Systems © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 2
Weighted Voting Systems • Example: Explain the weighted voting system. [51 : 26, 12, 12, 12] • Solution: The following diagram describes how to interpret this system. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 3
Weighted Voting Systems • Example: Explain the weighted voting system. [51 : 26, 12, 12, 12] • Solution: The following diagram describes how to interpret this system. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 4
Weighted Voting Systems • Example: Explain the weighted voting system. [4 : 1, 1, 1, 1] • Solution: This is an example of a “one person one vote” situation. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 5
Weighted Voting Systems • Example: Explain the weighted voting system. [4 : 1, 1, 1, 1] • Solution: This is an example of a “one person one vote” situation. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 6
Weighted Voting Systems • Example: Explain the weighted voting system. [14 : 15, 2, 3, 3, 5] • Solution: Voter 1 is a dictator. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 7
Weighted Voting Systems • Example: Explain the weighted voting system. [14 : 15, 2, 3, 3, 5] • Solution: Voter 1 is a dictator. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 8
Weighted Voting Systems • Example: Explain the weighted voting system. [10 : 4, 3, 2, 1] • Solution: Every voter has veto power. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 9
Weighted Voting Systems • Example: Explain the weighted voting system. [10 : 4, 3, 2, 1] • Solution: Every voter has veto power. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 10
Weighted Voting Systems • Example: Explain the weighted voting system. [12 : 1, 1, 1, 1] • Solution: Every voter has veto power. This describes our jury system. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 11
Weighted Voting Systems • Example: Explain the weighted voting system. [12 : 1, 1, 1, 1] • Solution: Every voter has veto power. This describes our jury system. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 12
Weighted Voting Systems • Example: Explain the weighted voting system. [12 : 1, 2, 3, 1, 1, 2] • Solution: The sum of all the possible votes is less than the quota, so no resolutions can be passed. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 13
Weighted Voting Systems • Example: Explain the weighted voting system. [12 : 1, 2, 3, 1, 1, 2] • Solution: The sum of all the possible votes is less than the quota, so no resolutions can be passed. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 14
Weighted Voting Systems • Example: Explain the weighted voting system. [39 : 7, 7, 7, 1, 1, 1] • Solution: This system describes the voting in the UN Security Council. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 15
Coalitions In a weighted voting system [4 : 1, 1, 1, 1] any coalition of four or more voters is a winning coalition. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 16
Coalitions In a weighted voting system [4 : 1, 1, 1, 1] any coalition of four or more voters is a winning coalition. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 17
Coalitions • Example: A town has three parties: (R)epublican, (D)emocrat, and (I)ndependent. Membership on the town council is proportional to the size of the parties with R having 9 members, D having 8, and I only 3. Parties vote as a single bloc, and resolutions are passed by a simple majority. List all possible coalitions and their weights, and identify the winning coalitions. (continued on next slide) © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 18
Coalitions • Solution: We list all possible subsets of the set {R, D, I}. © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 19
Coalitions In the previous example we have: © 2010 Pearson Education, Inc. All rights reserved. Section 12. 3, Slide 20
- 2010 pearson education inc
- 2010 pearson education inc
- 2010 pearson education inc
- 2010 pearson education inc answers
- 2010 pearson education inc answers
- 2010 pearson education inc answers
- 2010 pearson education inc
- 2010 pearson education inc
- Copyright 2010 pearson education inc
- 2010 pearson education inc
- Copyright 2010 pearson education inc
- The four forces shown have the same strength
- Decimal in words example
- 2010 pearson education inc
- Pearson education inc. publishing as prentice hall
- Pearson education inc. all rights reserved
- Two coins rotate on a turntable
- 2010 pearson education inc
- 2010 pearson education inc
- 2010 pearson education inc answers
- 2010 pearson education inc answers