In: Economics
Consider a market in which all output is produced by two firms,
A and B. The market inverse demand curve is given by where a is 260
and b is 1. Both firms have a constant marginal cost equal to
3.
a) Find the Stackelberg equilibrium outputs for firms A and B, the
equilibrium market price, and the equilibrium profit for each firm,
on the assumption that firm A is the
leader and firm B is the follower.
b) Repeat for:
i. the case where the marginal cost of firm B is constant and equal
to 9.
ii. The case where there are two firms A and B and the marginal
cost for firm A is mAQA (where mA is 1) and the marginal cost for
firm B is mBQB (where mB is 8).
iii. The above two cases on the assumption that B is the leader and
A the follower.