Consider the three-player coalitional game with the following coalitional function:
v(1) = 0,
v(2) = 1,
v(3) = 4,
v(1,2) = 2,
v(1,3) = 6,
v(2,3) = -1,
v(1,2,3) = 5.
(a) Compute θ((1, 1, 3)), θ((1, 3, 1)) and θ((3, 1, 1)).
(b) Arrange the three vectors in decreasing lexicographic order.