Three-player coalitional game


Assignment:

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.

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Game Theory: Three-player coalitional game
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