((a)The members of the Suprem Court are 9 justices, one vote each, and a majorit
ID: 3421203 • Letter: #
Question
((a)The members of the Suprem Court are 9 justices, one vote each, and a majority is needed for a decision. The relative power of each justice is therefore 1/9. Three justices, who shall remain nameless, decide to use the following process to increase their power: They will meet privately to discuss each case, and agree that each will vote according to the majority decision from their private discussion. What are the new Banzhaf and Shapley-Shubik indices of the court?
(b). If you find that the other six justices have lost power under this procedure, what can they do to counter this process?
Explanation / Answer
The new Banzhaf and Shapley-Shubik indices of the court is:
9 members are agree=9*1/9=1
8 members are agree=8*1/9=8/9
7 members are agree=7*1/9=7/9
6 members are agree=6*1/9=6/9
5 members are agree=5*1/9=5/9
above all conditions are:they take decision.
b) If you find that the other six justices have lost power under this procedurethen
they do for other 3 members.
3 members are agree=3*1/3=1
2 members are agree=2*1/3=2/3.
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