In: Economics
Consider a duopolistic market in which the inverse demand curve
is ?=50−2? and the short-run total cost functions of the firms are
given by ????1=10+2?1 and ????2=12+8?2.
a. Suppose this market is analyzed using a Cournot model. Determine
the output level of each firm and the market price.
b. Suppose this market is analyzed using a Stackelberg model where
firm 2 is the leader and firm 1 is the follower. Determine the
output level of each firm and the market price.
c. Based on your findings in parts (a) and (b), determine the model
that allows firm 1 to have higher profits. Similarly, determine the
model that allows firm 2 to have higher profits.