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Question 3. [30 points] (Bayesian game) Consider the Bayesian game represented by the following table. There are three different states: i) Ygritte hates Jon with

Question 3. [30 points] (Bayesian game) Consider the Bayesian game represented by the following table.

There are three different states: i) Ygritte hates Jon with prior probability 1/4 ii) Ygritte loves Jon with prior probability 1/2 and iii) Ygritte is indifferent for Jon with probability 1/4 . Suppose Ygritte knows her attitude perfectly. However, Jon is only fully informed if Ygritte hates him but cannot tell whether Ygritte loves him or is indifferent.

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