Consider the following imperfect-information, dynamic game: R (1,3) S L 2 S 1 B R (4,4)...

 

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Consider the following imperfect-information, dynamic game: R (1,3) S L 2 S 1 B R (4,4) (-1,-1) (2, 2) H F 2 G (6, 1) (8,8) a. How many information sets does each player have? b. What are the sets of strategies? c. Write down the normal-form representation of the game. d. Find the set of all NE, pure and mixed. Suppose now that the game has perfect information. e. Write down its normal-form representation. f. Find the set of all pure NE. g. Find all the Backward Induction outcomes. Consider the following imperfect-information, dynamic game: R (1,3) S L 2 S 1 B R (4,4) (-1,-1) (2, 2) H F 2 G (6, 1) (8,8) a. How many information sets does each player have? b. What are the sets of strategies? c. Write down the normal-form representation of the game. d. Find the set of all NE, pure and mixed. Suppose now that the game has perfect information. e. Write down its normal-form representation. f. Find the set of all pure NE. g. Find all the Backward Induction outcomes.