4. (A ght with imperfect infomctt'on about strengths): Two people are involved in a dispute. Person 1 does not know whether person 2 is strong or weak; she assigns probability a to person 2 being strong. Person 2 is fully informed. Each person can either ght or yield. Each persons preferences are represented by the expected value. A player obtains a payoff of 0 if she yields (regardless of the other persons action) and a payoff of 1 if she ghts and her opponent yields. If both people ght their payoffs are ('1, 1) if person 2 is strong and (1, '1) if person 2 is weak. i) Formulate this situation as a Bayesian game. ii) Find the Nash equilibria when a > :7, and when a