respond to Start with expected payoff for red Probability red chooses attack = p Probability red chooses defend = 1 - p Blue attack P(30) + (1 - p )(40) =40 - 10p Blue defend P(50) + (1-p)(0) =50p Now take the two and find a point where they cross 40 - 10p = 50p P = 2/3 So red attack probability is 2/3 and defend probability is 1/3 Start with expected payoff for blue Probability blue chooses attack = q Probability blue chooses defend = 1 - q Red attacks Q(30) + (1 - q)(50) =50 - 20q Red defends Q(40) + (1 - q)(0) = 40q Take the two and find a point where they cross 50 - 20q = 40q =q = 5/6 So blue attack probability attack is 5/6 and defend probability is 1/6 Take p = 2/3 and plug it into either value 40 - 10p = 40 - 10 x 2/3 =33.33