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Consider the following game for which we define the following notation. Time left 2:10:13 g: Player 1's probability of playing r if type g, .

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Consider the following game for which we define the following notation. Time left 2:10:13 g: Player 1's probability of playing r if type g, . ob: Player 1's probability of playing r if type b, . or: Player 2's probability of choosing u after observing a choice of r by Player 1, . 1: Player 2's probability of choosing u after observing a choice of Z by Player 1, . Pr(gr): Player 2's belief that Player 1 is type g if 1 has played r, . Pr(g|(): Player 2's belief that Player 1 is type g if 1 has played I. (7,4) u (6, 4) (5, 1) d d G 0.5 (4,2) 12 N 2 8 0.5 (5, 1 u u (6, 1) (3, 2) d (4.2) (i) (1 mark) If g = ob = 1, what are consistent beliefs for Player 2? SPI(g/T) S (if there is only one consistent value for Pr (g|r), enter that value into both fields). (ii) (1 mark) If g = 01 = 0, what are consistent beliefs for Player 2?

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