In: Economics
The inverse demand is given by P=240-Q. The discount factor is
R=0.9, and marginal production costs are initially $120.
a. Calculate the market price, output and profits (if any) on the
assumption that the market is currently: i. Monopolized ii. A
Bertrand duopoly iii. A Cournot duopoly.
b. Suppose that a research institute develops a new technology that
reduces marginal cost to 60.
i. Confirm that this is not a drastic innovation in the Bertrand
case.
ii. Calculate the new market equilibrium price, output and profits
for the monopolist and each duopolist given that in the duopoly
case the innovation is made available to only one firm.
iii. How much will be the willingness to pay for this innovation
for I. The monopolist II. The Bertrand duopolist III. The Cournot
duopolist.