Assignment:
A simple coalitional game (N; v) is called a veto control game if there is a player i such that v(S) = 0 for every coalition that does not contain i. Prove that given a monotonic, veto control game, the core relative to the coalitional structure {N} coincides with the bargaining set relative to the same coalitional structure.
Provide complete and step by step solution for the question and show calculations and use formulas.