Assignment:
Q1. Find a two-player coalitional game (N; v), and a V -shaped set K, i.e., a set that is the union of two line segments sharing an edge point, such that the nucleolus of (N; v) relative to K is the two edge points of K.
Q2. Compute the nucleolus of the weighted majority game [q; 2, 2, 3, 3] for every quota q > 0.
Provide complete and step by step solution for the question and show calculations and use formulas.