Consider a game with two players 1 and 2. They play the extensive-form game summarized in the game.

Consider a game with two players, 1 and 2. They play the extensive-form game summarized in the game tree below: a. Suppose Player 1 is choosing between the gray and black for his second move. Which will he choose if: i. Gray, Gray has been played. ii. Black, Black has been played b. Suppose Player 2 is choosing between green and red, knowing the information above. Which will he choose if: i. Gray has been played. ii. Black has been played. c. Finally, suppose Player 1 is choosing between gray and red in the first move. Given the information above, which will he choose? d. Now describe the path that gives an equilibrium in this extensive game.

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