In class we discuss the assignment game (P, Q, 05). Accordingly, show the following: 1. Show that if x is an optimal assignment, then it is compatible with any stable payoff (u,v). (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 ((15;! ,v' ),x' ) be stable outcomes of the assignment game (P, Q, 05). Show that if xi} : 1 and u: > u; implies v;-