Prove that x is the only imputation in the game

Reference no: EM131333326

Let (N; v) be a coalitional game satisfying the following property: there is an imputation x ∈ X(N; v) such that all the excesses at x are nonnegative.

(a) Prove that x is the only imputation in the game, and in particular it is the nucleolus.

(b) Is x necessarily also the prenucleolus? Either prove this statement, or provide a counterexample.

Reference no: EM131333326

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