Top Trading Cycles (TTC) Algorithm Consider the example of the top trading cycles from the class. The set of individual P = { Putin, Iron Man, Trump and Darth Vader} and the set of houses included H (K), Stark Tower (ST), White House (WH) and Death Star (DS)}. The TTC consid progressed as follows: Round 1: Putin and Darth Vader pointed at the White House, and Trump at pointed at the Death Star. Houses on the market pointed at their current o result, Trump and Darth Vader swapped houses and left the market. Round 2: Putin and Iron Man pointed at the Kremlin. Houses on the marke their current owners. As a result, Putin left the market taking his house with Round 3: Iron Man pointed at the Stark Tower. Houses on the market point current owners. As a result, Iron Man left the market taking his tower with h Hint: you might want to review the class slides with this example. Answer the following questions: (a) Write down all possible preferences for Iron Man that are consistent with this (b) Write down all possible preferences for Trump that are consistent with this T (c) What would have happen if Darth Vader pointed to the Stark Tower and Iron at White House in Round 1 (Putin and Trump point to their original choices)