The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {78: 47, 36, 21, 15} BPI(A) = BPI(B) = BPI(C) = BPI(D) =

The weight of voter A is w1, the weight of voter B is w2, the weight of voter C is w3, and so on. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {78: 47, 36, 21, 15} BPI(A) = BPI(B) = BPI(C) = BPI(D) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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.

Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.)

{78: 47, 36, 21, 15}

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

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Step 2: List the winning coalitions

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Step 3: Examine the critical voters

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Step 4: Count the critical voters

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Step 5: Banzhaf power index for each voter

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