11. was a member of a committee until he resigned, after discovering that with the voting system in use, he was a dummy. Did the Shapley-Shubik power indices of the other committee members change as a result of ’s departure?
11.
No. Before left, he was pivot in no permutations. The Shapley-Shubik power indices of the other participants were their shares of the permutations in which they were pivot. With removed, the shares would remain the same.