aThe members of the Suprem Court are 9 justices one vote eac

((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?

Solution

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.