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(3) Please find a separating and a pooling equilibria (and a hy- brid equilirium) of the following two-person game in which Na- ture first determines

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(3) Please find a separating and a pooling equilibria (and a hy- brid equilirium) of the following two-person game in which Na- ture first determines the type of player 1, i.e., player 1 has h-type and i-type with probabilities 1/2 and 1/2, respectively. (20%(+10%)) ( 2 , 1 ) U 2 L 1 R 2 U (5,4 ) (2,0) 0 P h D (3, 1) NO (4,0) D RI-8/ U (2,0) 2 1 (2, 1) D' 2 D ( , 1 )

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