04 Jun 1. The market demand curve in a commodity chemical ind
Question
1. The market demand curve in a commodity chemical industry is given by Q = 600 -3P, where Q is the
quantity demanded per month and P is the market price in dollars. Following is the cost function
associated with the production.
Firm 1: TC = 100 + 70q
Firm 2: TC = 80 + 80q
a) Find the cournot equilibrium quantities for each firm and market price.
b) Assuming that firm 1 is the Stackelberg leader; find the Stackelberg equilibrium quantities for each
firm and market price.
c) Compare the profit between a) and b). Under which equilibrium is overall industry profit the greatest.
2. SS and LG are duopoly cell phone producers in S. Korea. Both firms are seeking to expand 4GB cell phone
market in Dubai. Managerial team is carefully studying the level of competition and the market demand
for 4 GB cell phone. A study shows that the market demand curve for 4GB cell phone is P = 180 –Q. Also,
they conclude that there are will be no competitors other than SS and LG, if they both enter, in Dubai at
least for a few years. Both firms have similar MC: MCSS=40 and MCLG= 44. What would be the likely
outcome of the entry decision? Which firm would enter? or both? Show your work and game table in
order to support your answer.
3. The Bergen Company and the Gutenberg Company are the only two firms that produce and sell a
particular kind of machinery. The demand curve for their product is P= 580-3Q where P is the price of
the product, and Q is the total amount demanded. The total cost function of the Bergen Company is
TCB = 410QB where TCB is its total cost and QB is its output. The total cost function of the Gutenberg
Company is TCG= 460QG where TCG is its total cost and QG is its output. There are competing for a new
market.
a) Draw pre-game table.
b) If only one firm enters new market, how much will each firm produce and will make the
profit?
c) If both enter the new market, how much will each firm produce and will make the
profit?
d) Complete the game table matrix with the payoffs. What is the Nash EQ?
e) If these two firms collude and they want to maximize their combined profit, how much
will the Bergen Company produce? And Profit?
f) How much will the Gutenberg Company produce?
g) Is this collusion would work? Why or why not?
h) If the Bergen Company moves first, how much profit for each firm will change?
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