Question

21. If four members a, b, c, d of a decision making body are in a meeting to pass a resolution
where rule of majority prevails list the wining coalitions. Given that a, b, c, d own 50%,
20%, 15%, 15% shares each.
(a) (a, b) (a, c) {a, d) {a,b,c) (a, b, d) (a, b, c, d]
(b) {b, c, d]
(c) {b, c) {b, d} {c, d) (a, c, d) {b, c, d) {a} {b} {c} (d)
(d) None​

Answer 1

Given : Four members a, b, c, d of a decision making   are in a meeting to pa ss a resolution where rule of majority prevails

a, b, c, d own 50%, 20%, 15%,  15% shares each.

To Find : list the wining coalitions. Given that

Solution:

a share = 50 %

b share = 20 %

c share = 15 %

d share  = 15 %

For majority greater than 50 % required  and a himself has 50 %

so a must be in the  wining coalitions.

now in remaining 3 members they can be in 7 ways

b , c , d , (b, c) , ( b , d) , ( c . d) , ( b , c , d)

Hence  wining coalitions is  

(a, b) (a, c) {a, d) {a, b, c) (a, b, d) ( a , c , d) (a, b, c, d)

Options a has satisfy but missing   ( a , c , d)  

If all the cases to be listed then option is None of these

as  wining coalitions is  

(a, b) (a, c) {a, d) {a, b, c) (a, b, d) ( a , c , d) (a, b, c, d)

if only need to find options which has only majority options then option A could be correct

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