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Question 5 (12 marks) Consider the following game for which we define the following notation. Og: Player 1's probability of playing r if type g,

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Question 5 (12 marks) Consider the following game for which we define the following notation. Og: Player 1's probability of playing r if type g, On: Player 1's probability of playing r if type b, 0,: Player 2's probability of choosing u after observing a choice of r by Player 1, 01: Player 2's probability of choosing u after observing a choice of l by Player 1, Pr(g|r): Player 2's belief that Player 1 is type gif 1 has played r, Pr(811): Player 2's belief that Player 1 is type gif 1 has played I. (7,4) (6,4) u u d d (5,1) (4,2) G 0.5 2 N. B 0.5 (5,1) (6,1) 12 u 1 d d (3,2) (4,2) (i) (1 mark) If og = 0b = 1, what are consistent beliefs for Player 2?

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