A committee has four members, A, B, C, D. It makes decisions by majority rules. List all the voti...
A committee has four members, A, B, C, D. It makes decisions by majority rules. List all the voting combinations in which the member named A is critical. Use binary notation: 1101 corresponds to the voting combination in which A, B, and D vote Yes and C votes No.
Homework Answers
Member A is critical in judgments ,
That means
Member A is always votes against the voting of majority people.
If more members vote 'Yes' then member A votes 'No'.
If more members vote 'No' then member A votes 'Yes'.
Voting order is ABCD
The possible voting combinations are
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A committee has four members, A, B, C, D. It makes decisions by majority rules. List all the voti...
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Winning coalition
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Critical voters
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A, B
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6
A, C
{A, B, C}
9
A
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Blocking Coalitions and the Banzhaf Power
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weighted voting system {6: 4, 3, 2, 1}. The table below shows the
winning coalitions.
Winning coalition
Number of votes
Critical voters
{A, B}
7
A, B
{A, C}
6
A, C
{A, B, C}
9
A
{A, B, D}
8
A, B
{A, C, D}
7
A, C
{B, C, D}
6
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Blocking Coalitions and the
Banzhaf Power Index View Transcript For the data in the example,
calculate the Banzhaf power indices for A, B, C, and D using the
alternative definition. BPI(A) = BPI(B) = BPI(C) = BPI(D) =
Yexample Determine Winning Coalitions in a Weighted Vot ing System Suppose that the four owners ofa company, Ang, Bonhomme, Carmel, and Diaz, own, respectively, 500 shares, 375 shares, 225 shares, and 400 shares. There are total of this is 750, so the...
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