Try to verify that the nucleoli of the following two, three player games are as indicated. First, list the possible coalitions and their excesses at (v). Then show that any small deviation from x=(v) will increase (x). v(S) = 1 if S = {1,2},{1,3},{1,2,3} and v(S) = 0 otherwise; (v) = (1,0,0) v(i) = 0, v(12) = 1/6, v(13) = 1/6, v(23) = 1/3, v(123) = 1; (v) = (1/3,1/3,1/3)