Let n v be the three-player coalitional game with the

Question

Let (N; v) be the three-player coalitional game with the following coalitional function:

v(S) = 0 ⇐⇒ |S| ≤ 1, (20.208)

v(S) = 1 ⇐⇒ |S| ≥ 2. (20.209)

Let K be the triangle in R3 whose vertices are (1, 0, 0), (0, 1, 0), and (0, 0, 1), and let K₀ be its boundary. Compute the nucleolus of the game (N; v) relative to K and relative to K₀.