Prove nucleolus is covariant under strategic equivalence

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Prove that the nucleolus is covariant under strategic equivalence: for every coalitional game (N; v), for every set K ⊆ RN , for every a > 0, and every set b ∈ RN ,

N (N; av + b; aK + b) = aN (N; v; K) + b.

Reference no: EM131333342

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