Question: The weighted voting systems for the voters A, B, C, ... are given in the form q : w 1 , w 2 , w

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.

A weighted voting system is given by {18: 9, 7, 4, 2, 1}.

(a) What is the quota?

(b) How many voters are in this system?

voters

(c) What is the weight of voter C?

(d) What is the weight of the coalition {B, C}?

(e) Is {B, C, D, E} a winning coalition?

Yes

No

(f) Which voters are critical voters in the coalition {A, B, D}?

A

A and B

A and D

B and D

A, B, and D

(g) How many coalitions can be formed?

coalitions

(h) How many coalitions consist of exactly three voters?

coalitions

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