Assignment:
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.
Provide complete and step by step solution for the question and show calculations and use formulas.