Proving the nucleolus on the boundary of set


Assignment:

Suppose that (N; v) is a coalitional game such that the set of imputations X(N; v) is nonempty, and such that the nucleolus x* differs from the prenucleolus. Prove that the nucleolus is located on the boundary of the set X(N; v).

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Game Theory: Proving the nucleolus on the boundary of set
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