Suppose player 1 potentially moves twice in a sequential game, each time choosing from one of two possible actions -- "Left" or "Right". His first move is at the beginning of the game. He gets to move a second time if he moved "Left" the first time and after observing one of two possible actions by player 2 ("Up" or "Down"). But if he moves "Right" in the first stage, he gets no further moves and the game ends after player 2 chooses one of two actions ("Up" or "Down"). Draw the game tree and list all possible strategies for players 1 and 2.
What will be an ideal response?
Player 1: (L,L,L), (L,L,R), (L,R,L), (R,L,L), (L,R,R), (R,L,R), (R,R,L), (R,R,R)
Player 2: (U,U), (U,D), (D,U), (D,D)
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