3. Consider the following priority table for the objects. Object priorities: a b C d e a) Determine the matching obtained by the Fixed Endowment Hierarchical Exchange rule using the preferences of the agents from Question 1. Display the steps using the following two variations of the graph: (1) only the agents are nodes; (2) both the agents and objects are nodes. b) Does this matching have any justified envy? Find all justified envy instances and specify the blocking pairs. c) Calculate the DA-TTC and the EADAM outcomes for the same preference profile and priority table. Display the steps. Is there any justified envy for either outcome? d) Provide an example of a priority table for this model with 6 agents and 6 objects which renders the corresponding Hierarchical Exchange rule to be a Serial Dictatorship rule. Do the same for Gale's Top Trading Cycle rule