Which of the following is true about a differentiated-product Bertrand duopoly?
A. Firm 1 and firm 2’s reaction functions are downward sloping.
B. Firm 1 and firm 2’s reaction functions are upward sloping.
C. Firm 1’s reaction function is downward sloping but firm 2’s reaction function is
upward sloping.
D. In a differentiated-product Bertrand duopoly neither firm has a reaction function.
Explain what would happen to the equilibrium consumption of two goods, X and Y, if
(a) income doubled and all prices tripled, (b) all prices doubled and income tripled, and
(c) all prices and income doubled. In each case, show the effects when both goods are
normal goods and when one good is a normal good and the other an inferior good.
Consider an antique auction where bidders have independent private values. There are
two bidders, each of whom perceives that valuations are uniformly distributed between
$100 and $1,000. One of the bidders is Sue, who knows her own valuation is $200.
What is Sue’s optimal bidding strategy in a first-price, sealed-bid auction?