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((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.