Problem 2. Assume two rms compete in Cournot competition, but compete for an innite amount of time. The oneshot payoffs are listed below and the discount rate is 6 = .8. We'll focus on three different choices of quantities for each rm 7; to produce: a \"collusive quantity\. Will these rms be able to collude given the assumptions of the model and the discount rate? Why or why not? . Suppose the discount factor 6 = .6 instead of .8, would the rms be able to collude using the grim trigger strategy? Why or why not? . What is the minimum value of 5 that would facilitate collusion? . Intuitively explain why collusion would not be an equilibrium outcome if (5 is very small. (hint: what does a small 5 mean and why would that thwart collusion?)