Q1 Top Trading Cycles (TTC) Algorithm Consider the example of the top trading cycles from the class. The set of individuals consists of P = {Putin, Iron Man, Trump and Darth Vader} and the set of houses included H = { Kremlin (K), Stark Tower (ST), White House (WH) and Death Star (DS)}. The TTC considered in class progressed as follows: Round 1: Putin and Darth Vader pointed at the White House, and Trump and Iron Man pointed at the Death Star. Houses on the market pointed at their current owners. As a result, Trump and Darth Vader swapped houses and left the market. Round 2: Putin and Iron Man pointed at the Kremlin. Houses on the market pointed their current owners. As a result, Putin left the market taking his house with him. Round 3: Iron Man pointed at the Stark Tower. Houses on the market pointed at their current owners. As a result, Iron Man left the market taking his tower with him. 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 TTC run. (b) Write down all possible preferences for Trump that are consistent with this TTC run. (c) What would have happen if Darth Vader pointed to the Stark Tower and Iron Man pointed at White House in Round 1 (Putin and Trump point to their original choices)? Q1 Top Trading Cycles (TTC) Algorithm Consider the example of the top trading cycles from the class. The set of individuals consists of P = {Putin, Iron Man, Trump and Darth Vader} and the set of houses included H = { Kremlin (K), Stark Tower (ST), White House (WH) and Death Star (DS)}. The TTC considered in class progressed as follows: Round 1: Putin and Darth Vader pointed at the White House, and Trump and Iron Man pointed at the Death Star. Houses on the market pointed at their current owners. As a result, Trump and Darth Vader swapped houses and left the market. Round 2: Putin and Iron Man pointed at the Kremlin. Houses on the market pointed their current owners. As a result, Putin left the market taking his house with him. Round 3: Iron Man pointed at the Stark Tower. Houses on the market pointed at their current owners. As a result, Iron Man left the market taking his tower with him. 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 TTC run. (b) Write down all possible preferences for Trump that are consistent with this TTC run. (c) What would have happen if Darth Vader pointed to the Stark Tower and Iron Man pointed at White House in Round 1 (Putin and Trump point to their original choices)