Q2 House Allocation vs. Housing Markets Consider the following preferences: 1 p1: D B A C p2: C D A B p3: B C A D p4: D A C B Answer the following questions (might require time): (a) Find all Pareto efficient assignments. (b) For each Pareto efficient assignment you have identified in part (a), provide a priority order for the serial dictatorship algorithm that would produce such assignment. (c) Identify the unique core assignment when the initial ownership is (A, B, C, D). (d) Identify the unique core assignment when the initial ownership is (C, B, D, A). (e) Identify the initial ownership such that the unique core assignment is (B, C, A, D)