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Consider the following game played between Adam and Betty. Initially, Adam can choose between playing with Betty or not playing with Betty. If Adam chooses

Consider the following game played between Adam and Betty. Initially, Adam can choose between playing with Betty or not playing with Betty. If Adam chooses to not play, then the game ends and Adam receives a payoff of 3 and Betty receives a payoff of 0 . If Adam chooses to play, then the two players play a simultaneous game: a. Represent this situation in extensive form. b. What are the pure strategy sub-game perfect Nash equilibria? Explain. c. What is the forwards induction sub-game perfect Nash equilibrium? Explain. Consider the following game played between Adam and Betty. Initially, Adam can choose between playing with Betty or not playing with Betty. If Adam chooses to not play, then the game ends and Adam receives a payoff of 3 and Betty receives a payoff of 0 . If Adam chooses to play, then the two players play a simultaneous game: a. Represent this situation in extensive form. b. What are the pure strategy sub-game perfect Nash equilibria? Explain. c. What is the forwards induction sub-game perfect Nash equilibrium? Explain

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