WEIGHTED VOTING WORKSHEET #1



WEIGHTED VOTING WORKSHEET #1

1) How many players are there in the weighted voting system [20:7,5,4,4,2,2,2,1,1]?

2) What is the quota in the weighted voting system [20:7,5,4,4,2,2,2,1,1]?

3) What is the total number of votes in the weighted voting system [20:7,5,4,4,2,2,2,1,1]?

4) In the weighted voting system [10:11,4,2,1,1], specify the dictator(s) and the dummy (or

dummies).

5) In the weighted voting system [11:6,4,3,2,1], is there any one who has a veto power? If

so, who is it and why is it?

6) Consider the weighted voting system [10:7,6,4].

A) What is the formula for finding the number of coalitions?

How many coalitions does this system have?

B) What is the formula for finding the number of sequential coalitions?

How many sequential coalitions does this system have?

C) Calculate the Banzhaf Power Index for each player.

| | | | |

|Coalition |Weight of Coalition |Win or Lose? |Critical Player(s) |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

| | | | |

The players’ power indices are:

P1 : ______________ P2 : ______________ P3 : ______________

D) Calculate the Shapley-Shubik Power Index for each player [10:7,6,4].

| | |

|Sequential Coalitions |Pivotal |

| |Player |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

| | |

The players’ power indices are:

P1 : ______________ P2 : ______________ P3 : ______________

7) How many coalitions will be formed if you have 6 players? If you have 9?

8) How many sequential conditions will be formed if you have 6 players?

If you have 9?

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