Assignment:
Find a game (N; v), a coalitional structure, and an imputation x such that: (a) 1 ?x 3, (b) 1 ∼x 2, and (c) 2 ∼x 3, where the notation k ∼x l means that the players k and l are members of the same coalition in the coalitional structure, and neither of them has a justified objection against the other.
Provide complete and step by step solution for the question and show calculations and use formulas.