Draw an extensive form game tree for the following situation. There are three
players: A diplomat can choose to summon a terrorist his country is sponsoring to a meeting,
or not. If he does not, an undercover CIA officer can choose to impersonate him
and summon the terrorist to a meeting, or not. If summoned the terrorist does
not know who summoned him and can choose to go to the meeting, or not. If
the terrorist attends the meeting, and the diplomat summoned him, he and the
diplomat get 6, and the officer gets 0. If he does not attend the meeting and the
diplomat summoned him, he gets -6, the diplomat gets 0, and the officer gets 0. If
the terrorist attends the meeting, and the officer summoned him, he gets -6, the
diplomat gets -1, and the officer gets 6. If the terrorist does not attend the meeting,
and the undercover officer summoned him, he gets 6, the diplomat gets 6, and the
officer gets 0. If there is no summons and no meeting, all players get 1.