Consider a setting in which player 1 moves first by choosing among threeactions: a, b, and c. After observing the choice of player 1, player 2 choosesamong two actions: x and y. Consider the following three variants as towhat 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 andlow. Player 3 knows player 2’s choice when she moves. Write down theextensive form of this setting. (You can ignore payoffs.)b. If player 1 chose a, then player 3 selects among two actions: high andlow. Player 3 does not know player 2’s choice when she moves. Writedown the extensive form of this setting. (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.(You can ignore payoffs.)
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. (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. (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.
(You can ignore payoffs.)
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