ECON102 Homework 5
· Carefully answer each of the questions below.
· You can write or type your answers for the questions EXCEPT ANY GRAPHS MUST BE COMPLETED BY HAND (NOT USING THE DRAWING TOOLS IN WORD OR ANY OTHER PROGRAM).
· Please put your name and PSU ID number at the top of the 1^{st} page.
· You may use as many sheets of paper as you need.
· When you are finished, scan your entire document (including the parts you typed and the parts done by hand).
· Save the file on your computer (.PDF format preferred) and then upload it to the ANGEL drop box for this homework assignment.
1. (42 total points) Suppose that a monopolistically competitive firm must build a production facility in order to produce a product. The fixed cost of this facility is FC = $24. Also, the firm has constant marginal cost, MC = $3. Demand for the product that the firm produces is given by P = 273Q.
a) (27 points) Fill in the table below. If any of your values have decimals, you may round to only one numeral after the decimal (nearest 10th of a dollar).
b) (10 points) How much output will this firm produce if it maximizes profit?
c) (5 points) What price should this firm charge if it wants to maximize profit?
2. (12 points) Carefully explain what will happen as we move from the short run to a long run equilibrium in a monopolistically competitive industry if firms are making a positive profit in the short run. Your explanation should clearly state what will happen to the demand curve facing an individual firm and the reason why this happens.
3. (34 total points) Suppose that two players are playing the following game. Player A can choose either Top or Bottom, and Player B can choose either Left or Right. The payoffs are given in the following table, where the number on the left is the payoff to Player A, and the number on the right is the payoff to Player B:


Player B 

Player A 

Left 
Right 
Top 
2 5 
1 4 


Bottom 
0 1 
3 8 
A) (4 points) Does player A have a dominant strategy, and if so what is it?
B) (4 points) Does player B have a dominant strategy and if so what is it?
C) (16 points) For each of the following say True if the strategy combination is a Nash equilibrium, and False if it is not a Nash equilibrium:
i) Player A plays Top and Player B plays Left
ii) Player A plays Bottom and Player B plays Left
iii) Player A plays Top and Player B plays Right
iv) Player A plays Bottom and Player B plays Right
D) (4 points) If each player plays her maximin strategy what will be the outcome of the game? (Give your answer in terms of the strategies each player chooses—for example, “Player A plays Bottom and Player B plays Right”)
E) (6 points) Now suppose the same game is played with the exception that Player A moves first and Player B moves second. Draw the game tree associated with this situation. Using the backward induction method discussed in the online class notes, what will be the outcome of the game?
4. (12 total points) Suppose there are 12 firms in an industry. The percentage of total sales is given in the following table:
Firm 
Percentage of total sales 
1 
16 
2 
14 
3 
12 
4 
12 
5 
10 
6 
8 
7 
6 
8 
6 
9 
5 
10 
4 
11 
4 
12 
3 
A) (6 points) Calculate the HHI for this industry.
B) (6 points) If firms 6 and 7 decide to merge, would this merger be challenged by the FTC? Why or why not?
HHI(post merge) 16^{2}+14^{2}+12^{2}+12^{2}+10^{2}+8^{2}+6^{2}+6^{2}+5^{2}+4^{2}+4^{2}+3^{2}= 1,138.