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

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. Calculate, if possible, the Banzhaf power index for each voter. Round to the nearest hundredth. (If not possible, enter IMPOSSIBLE.) {82: 53, 36, 24, 18} BPI(A) = BPI(B) = BPI(C) = BPI(D) =

Expert Solution

Colby Messinger answered 2 months ago

PART 1 The weighted voting systems for the voters A, B, C, ... are given in...

PART 1 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 {78: 4, 74, 77}. (a) Compute the Banzhaf power index for each voter in this system. (Round your answers to the nearest hundredth.) BPI(A) = BPI(B)...

A group of 100 students form 5 voting blocs, A, B, C, D, and E. They...

A group of 100 students form 5 voting blocs, A, B, C, D, and E. They agree to use 57 votes as the number needed to pass a motion. This results in the following voting structure: [57 : 34,28,20,14,4] Identify the number of voting blocs that have zero voting power as measured by the Banzhaf Power Index. a)0 voting blocs b)Exactly 1 voting bloc c)Exactly 2 voting blocs d)Exactly 3 voting blocs e)Exactly 4 voting blocs f)Exactly 5 voting blocs

In parts a, b, and c, determine if the vectors form a basis for the given...

In parts a, b, and c, determine if the vectors form a basis for the given vector space. Show all algebraic steps to explain your answer. a. < 1, 2, 3 > , < -2, 1, 4 > for R^3 b. < 1, 0, 1 > , < 0, 1, 1> , < 2, 0, 1 > for R^3 c. x + 1, x^2 + 1, x^2 + x + 1 for P2 (R).

Discuss the shortcomings of majority voting in terms of the intensity of voters` preferences

Discuss the shortcomings of majority voting in terms of the intensity of voters` preferences.

Here are the preferences of the seven voters, choosing among options A, B, C, D, and...

Here are the preferences of the seven voters, choosing among options A, B, C, D, and E.. rank 2 2 1 1 1 first c e c d a second e b a e e third d d d a c fourth a c e c d fifth b a b b b Answer the following question about the possible outcomes of an election involving all 7 of these voters using various voting methods: Who wins a Majority Rule election?...

1. Given the following weighted intervals in form of (si, fi, vi) where si is the...

1. Given the following weighted intervals in form of (si, fi, vi) where si is the start time, fi is the finish time, and vi is weight, apply the DP algorithm you learn from lecture to compute the set of non-overlapping intervals that have the maximum total weight. (5, 12, 2) (7, 15, 4) (10, 16, 4) (8, 20, 7) (17, 25, 2) (21, 28, 1) 1) Show the dynamic programming table that computes the maximum total weight. 2) With...

in the c programming language input is given in the form The input will be of...

in the c programming language input is given in the form The input will be of the form [number of terms] [coefficient k] [exponent k] … [coefficient 1] [exponent 1] eg. 5 ─3 7 824 5 ─7 3 1 2 9 0 in this there are 5 terms with -3x^7 being the highest /* Initialize all coefficients and exponents of the polynomial to zero. */ void init_polynom( int coeff[ ], int exp[ ] ) { /* ADD YOUR CODE HERE...

Consider the class C of all intervals of the form (a, b), a, b ∈ R,...

Consider the class C of all intervals of the form (a, b), a, b ∈ R, a < b and ∅. Show that C is closed under finite intersections but not under complementations or unions. Hint: to show closure of finite intersections, it is enough to prove closure for intersections of 2 sets.

Express the following systems of equations in matrix form as A x = b. What is...

Express the following systems of equations in matrix form as A x = b. What is the rank of A in each case (hint: You can find the rank of a matrix A by using rank = qr(A)$rank in R. For each problem, find the solution set for x using R. a. X1+5X2+2X3=5 4X1-X2+3X3=-8 6X1-2X2+X3=0 b. 3X1-5X2+6X3+X4=7 4X1+2X3-3X4=5 X2-3X3+7X4=0 X2+3X4=5

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