The weighted voting systems for the voters A, B, C, ... are given in the form {q: w1, w2, w3, w4, ..., wn}. The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on.Consider the weighted voting system {56: 3, 53, 55}.(A) Compute the Banzhaf power index for each voter in this system. (Round your answers to the nearest hundredth.)BPI(A) = BPI(B) = BPI(C) = (B) Voter B has a weight of 53 compared to only 3 for voter A, yet the results of part (a) show that voter A and voter B both have the same Banzhaf power index. Explain why it seems reasonable, in this voting system, to assign voters A and B the same Banzhaf power index. Pick the correct answer:A) Despite the varied weights, in this system, all voters are dummy voters. No voter is critical to a successful outcome.B) Despite the varied weights, in this system, all of the voters are needed for a quota.C) Despite the varied weights, this is a majority system. Any two of the three voters are needed for a quota.D) Despite the varied weights, this is a dictator system. Voter C controls the outcome, while voters A and B are dummy voters.E) Despite the varied weights, this is a minority system. Any one of the three voters can stop a quota. The weighted voting systems for the voters A, B, C, ... are given in the form {q: w1, w2, W3, Wa, ..., wn}. The weight of voter A is w1, the weight of voter B is w,, the weight of voter C isW3, and so on.Consider the weighted voting system {56: 3, 53, 55}.(a) Compute the Banzhaf power index for each voter in this system. (Round your answers to the nearest hundredth.)BPI(A) =BPI(B) =BPI(C) =(b) Voter B has a weight of 53 compared to only 3 for voter A, yet the results of part (a) show that voter A and voter B both have the same Banzhaf power index. Explain why itseems reasonable, in this voting system, to assign voters A and B the same Banzhaf power index.O Despite the varied weights, in this system, all voters are dummy voters. No voter is critical to a successful outcome.O Despite the varied weights, in this system, all of the voters are needed for a quota.O Despite the varied weights, this is a majority system. Any two of the three voters are needed for a quota.O Despite the varied weights, this is a dictator system. Voter C controls the outcome, while voters A and B are dummy voters.O Despite the varied weights, this is a minority system. Any one of the three voters can stop a quota.

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Description: The weighted voting systems for the voters A, B, C, ... are given in the form {q: w1, w2, w3, w4, ..., wn}. The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on.Consider the weighted voting system {56: 3, 5

The given weighed voting system is of the form of q:P1,P2,P3=(56:3,53,55) Now finding all the…

Answered: he weighted voting systems for the…

Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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The weighted voting systems for the voters A, B, C, ... are given in the form

{q: w₁, w₂, w₃, w₄, ..., w_n}.

The weight of voter A is w₁, the weight of voter B is w₂, the weight of voter C is w₃, and so on.

Consider the weighted voting system {56: 3, 53, 55}.

(A) Compute the Banzhaf power index for each voter in this system. (Round your answers to the nearest hundredth.)

BPI(A)	=
BPI(B)	=
BPI(C)	=

(B) Voter B has a weight of 53 compared to only 3 for voter A, yet the results of part (a) show that voter A and voter B both have the same Banzhaf power index. Explain why it seems reasonable, in this voting system, to assign voters A and B the same Banzhaf power index.

Pick the correct answer:

A) Despite the varied weights, in this system, all voters are dummy voters. No voter is critical to a successful outcome.

B) Despite the varied weights, in this system, all of the voters are needed for a quota.

C) Despite the varied weights, this is a majority system. Any two of the three voters are needed for a quota.

D) Despite the varied weights, this is a dictator system. Voter C controls the outcome, while voters A and B are dummy voters.

E) Despite the varied weights, this is a minority system. Any one of the three voters can stop a quota.

The weighted voting systems for the voters A, B, C, ... are given in the form {q: w1, w2, W3, Wa, ..., wn}. The weight of voter A is w1, the weight of voter B is w,, the weight of voter C is
W3, and so on.
Consider the weighted voting system {56: 3, 53, 55}.
(a) Compute the Banzhaf power index for each voter in this system. (Round your answers to the nearest hundredth.)
BPI(A) =
BPI(B) =
BPI(C) =
(b) Voter B has a weight of 53 compared to only 3 for voter A, yet the results of part (a) show that voter A and voter B both have the same Banzhaf power index. Explain why it
seems reasonable, in this voting system, to assign voters A and B the same Banzhaf power index.
O Despite the varied weights, in this system, all voters are dummy voters. No voter is critical to a successful outcome.
O Despite the varied weights, in this system, all of the voters are needed for a quota.
O Despite the varied weights, this is a majority system. Any two of the three voters are needed for a quota.
O Despite the varied weights, this is a dictator system. Voter C controls the outcome, while voters A and B are dummy voters.
O Despite the varied weights, this is a minority system. Any one of the three voters can stop a quota.

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