please help me solve this question. it is urgent. I can not solve it for like 3 hours. thank you very much.
it is about game theory.
9.* Consider the following game in extensive form : N = ( 1 , 2, 37.1. 2e5. 6, 1\2 , 4 , 7\4 . 3 . 65 . 6, 1\6 . 7 , 33, 7 . 44, 2. 66 , 3 , 1( a) Write down the set of pure strategies of players 1 , 2 , and 3 .( b ) How many subgames does the game have ? What are they ?( C ) Determine the set of pure-strategy subgame perfect equilibria ( SPE ) . Explain your steps carefully .What is ( are ) the SPE path ( s ) and the SPE payoffs ?"( NOTE : Make sure your answer is based on the logic of SPE . ]
