In class we discuss the assignment game (P, Q, 0:). Accordingly, show the following: 1. Show that if x is an optimal assignment, then it is compatible with any stable payoff (14,12). (10 Points) 2. If ((u, v),x) is a stable outcome, then x is an optimal assignment. (10 Points) 3. Let ((u,v),x) and ((u',v'),x') be stable outcomes of the assignment game (P, Q, a). Show that if xgj : 1 and u; > u, implies v}-