Consider the game and the conditions above.

Suppose Jon recieves a signal that either love or state indifferent will be played. Use Bayes rule to calculate Jon's belief about the probability of state Love after he recieves such a signal?

Please take time and answer. I'll upvote for sure (Everything is given in the question)

Hate (Prob=4) Indifferent (Prob=1) CB BW CB BW Ygritte Love (Prob=3) CB CB 4,2 1,-1 BW 3,3 BW CB 3,-1 2,3 CB 4,0 1,0 Jon BW 0,2 1,-1 0,-2 BW 0,0 3,0 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. Hate (Prob=4) Indifferent (Prob=1) CB BW CB BW Ygritte Love (Prob=3) CB CB 4,2 1,-1 BW 3,3 BW CB 3,-1 2,3 CB 4,0 1,0 Jon BW 0,2 1,-1 0,-2 BW 0,0 3,0 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