Alice chooses action a or action b, and her choice is observed by Bob. If Alice chooses action a, then Alice receives a payoff of 5 and Bob receives a payoff of 4. IfAlice chooses actionb, then Bob chooses action c or action d. If Bobchooses actionc, then Alice receives a payoff of 10 and Bob receives a payoff of 5.If Bobchooses actiond, then Alice receives a payoff of 0 and Bob receives a payoff of 6.

Which of the following are correct statements about the game described in the previous paragraph?(Mark all that are correct.)

Alice's backward induction payoff is 10.

This is a prisoners' dilemma.

This game has imperfect information.

Alice's backward induction payoff is 0.

This is a promise game.

Bob's backward induction payoff is 4.

Bob's backward induction payoff is 6.

This is a threat game.