3. Consider the following interaction between a. single long lived rm, and a. sequence of short-lived consumer. In each period t = 1,2.... there is a single consumer who only lives for one period. The consumer must choose between the actions BUY and NOT BUY (i.e. B and N). The rm must choose what quality level to provide, i.e. it must choose between H and L. The payoffs to the two parties are given by the following table, where by > p > v; and p > 6;; > cL. a] Solve for the Nash equilibria of the above stage game. b) Suppose that the rm discounts payoffs at rate 6, where 0