Question: Represent the extensive form of the game:
Suppose, Nature chooses either Up or Down with probabilities 0.5 and 0.5, respectively.
Then Player 1 chooses either Right or Left and does not observe nature's choice.
Finally, Player 2 chooses either G or H. Unlike Player 1, Player 2 observes the choice of Player 1 prior to making his choice. Player 2 also observes nature's choice if Player 1 has chosen Right but does not observe nature's choice if Player 1 has chosen Left.
Is this correct? I am not really sure about the instructions in bold.