6. India argues that infant-industry protection of its automobile industry is necessary.
What factors support this claim? How would you assess the benefits and the costs
from targeting this industry versus the toy industry?
7. “Russian wages are so low that European producers will require additional protection
to maintain current wages and generous welfare state benefits.” Evaluate the
economic basis for this statement.
8. How can subsidizing exports and accepting a decline in a country’s terms of trade
make a country better off?
9. Suppose two firms, one U.S. and the other French, compete in the satellite launching
market as Cournot duopolists who take the output of their competitor as given in
determining their own capacity. Their profit-maximizing strategies can be represented
by the following reaction functions:
Q
us = .5(A – MCus) – .5 Qf (7.2)
Q
f = .5(A – MCf) – .5 Qus (7.3)
a. Assume that A = 42 represents the non-price determinants of market demand and
marginal costs are MCus = 9, and MCf = 6. Solve for the output of each firm in the
absence of government intervention. If market demand is given by Q = Qus + Qf =
A – P, what price will be set?
b. Consider the effect of a U.S. subsidy of 3 per launch. (Hint: represent this as a
lower U.S. marginal cost.) Solve for the effect on the distribution of launches and
the equilibrium price. Determine how U.S. government expenditures, U.S. profits,
and French profits are affected, and explain what principle underlies these results.
10. Two firms, home and foreign, compete in the export market as Bertrand duopolists,
where each sets its price assuming that the price of the competitor will remain
unchanged. Because the goods they produce are imperfect substitutes, they need not
sell at the same price. Based on the two inverse demand functions,
P
h = a – bXh – c Xf (7.4)
and
P
f = a – bXf – c Xh, (7.5)
the corresponding reaction functions are:
P
h = (ab – ac + b MCh)/2b + (c/2b) Pf (7.6)
P
f = (ab – ac + b MCf)/2b + (c/2b) Ph (7.7)
a. For marginal costs, MC, equal to 12 for both firms, and a = 60, b = 5, and c = 4, find
the equilibrium price each firm will set, and determine the output of each firm.
(Hint: the inverse demand functions can be solved to show:
Xh = [(ab–ac) – bPh + cPf]/(b2 – c2).) (7.8)