1.Consider a setting in which player 1 moves first by choosing among three actions: a, b, and c. After observing the choice of player 1, player 2 chooses among two actions: x and y. Consider the following three variants as to what player 3 can do and what she knows when she moves:

(a) If player 1 chose a, then player 3 selects among two actions: high and low. Player 3 knows player 2's choice when she moves. Write down the extensive form of this setting, as well as each player's set of strategies. (You can ignore payoffs.)

(b) If player 1 chose a, then player 3 selects among two actions: high and low. Player 3 does not know player 2's choice when she moves. Write down the extensive form of this setting, as well as each player's set of strategies. (You can ignore payoffs.)

(c) If player 1 chose either a or b, then player 3 selects among two actions: high and low. Player 3 observes the choice of player 2, but not that of player 1. Write down the extensive form of this setting, as well as each player's set of strategies. (You can ignore payoffs.)

1. In this question, it has mentioned that "After observing the choice of player 1, player 2 chooses among two actions: x and y.",so is there should be a dotted line between player 2?