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not sure how to find perfect Bayesian equilibrium. 3. Consider the following game with nature: 6, 8 X 3,3 H L M :(p) (9) Y

not sure how to find perfect Bayesian equilibrium.

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3. Consider the following game with nature: 6, 8 X 3,3 H L M :(p) (9) Y High (1/2) 4. 4 Y' 8. 4 5,0 X Low (1/2) X' - 3,0 1( 1 - p) (1 - q); L' M 4, 6 Y Y' 8. 4 Does this game have any separating perfect Bayesian equilibrium? Show your analysis and, if there is such an equilibrium, report it (only one is required)

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