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QUESTION

(20 points) Consider the following signaling game. The players are 1 and 2. Nature chooses player 1's type. Then player 1 chooses Left or Right....

  1. What are player 1's information sets? What are player 1's pure strategies?
  2. What are player 2's information sets? What are player 2's pure strategies?
  3. What are the possible separating pure strategies for player 1? What are the possible pooling pure strategies for player 1?
  4. Is there a separating perfect Bayesian equilibrium? 
  5. Is there a pooling perfect Bayesian equilibrium? 
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