Pat and Andy are ex lovers who no longer like to be in the same place together. They now live apart, but unfortunately, there is only one bar in town to spend Friday nights. Every Friday, each of them must decide whether to go to the Bar or stay home. Going to the Bar when the other person gives them a payoff of -X (that is less than zero!). Staying home has a payoff of 0. Going to the bar when the other person does not is worth Y. Assume Y>0 and X>0. Andy Go to Bar Stay Home Go to Bar -X , -X Y, 0 Pat Stay Home O, Y 0,0 Does either player have a dominant strategy? [ Select ] Find the pure strategy Nash Equilibrium(s). [ Select ] Select (Home, Home) (Bar, Bar) and (Home, Home) (Bar, Bar) (Home, Bar) and (Bar, Home)Continuing with the previous question: Andy Go to Bar Stay Home Go to Bar -X , - X Y , O Pat Stay Home O , Y 0,0 Now suppose the values are: X=7 Y=8 Let p be the probability of Pat going to the bar. Find the mixed strategy Nash Equilibrium value of p. Provide your answer to the nearest 100th (two decimal places)