Assignment:
Prove that if the ε-core Cε(N; v) is nonempty, then N (N; v) ⊆ Cε(N; v). Deduce that the nucleolus is contained in the minimal core, and that if the core is nonempty, then the nucleolus is contained in the core. For the definition of Cε(N; v) and the minimal core.
Provide complete and step by step solution for the question and show calculations and use formulas.