# Microeconomics, monopoly pricing, game theory

Section I: Monopoly pricing (50 points)

Milwaukee Utilities has a complete monopoly over the generation and transmission of energy.  The following information on this company is given as follows:

Demand = 750 – 10Q

Average cost = 500 – 2Q

Where Q is measured in megawatts and prices and costs are measured in dollars.

a.) Does this firm’s production process satisfy the condition for a natural monopoly? When explaining your answer assume two hypothetical smaller firms q1 and q2 generate 5 and 10 megawatts of energy, respectively. (Hint, Milwaukee Utilities is a monopolist so it generates the sum of the energy generated by the two smaller firms. Hence, the smaller firms’ output is a subset of Milwaukee Utilities’ output.) (Hint, the term’production process’ used in question Ia, is interpreted as ‘cost characteristics’, i.e, do the cost characteristics satisfy the condition for a natural monopoly)

b.) How much energy would be sold and at what price if the monopolist sets price as a profit maximizing monopolist? Note: The marginal cost curve is twice as steep as the average cost curve.

c.) What is the firm’s profits at the monopoly price determined in part b?

d.) Now, suppose the monopolist adopts a two-part tariff pricing scheme for its customers such that the access fee is equal to the profit-maximizing marginal cost and the user fee is the difference between the profit maximizing monopoly price and marginal cost. Please calculate the user and access fees based on this information.

e.) Now suppose the monopolist practices 3rd degree price discrimination and charges the profit-maximizing price to the high reservation price customers and charges a 10 percent discount on the monopoly price to low reservation price customers. Note, low reservation price customers are those who would never pay the monopoly price. What is the price charged to the low reservation price customers? What is the profit generated by charging these prices? Are the profits greater than the profits in part ‘c’? Please explain.

f.) Now suppose the state public utility commission requires this monopolist to charge the competitive price, how much energy would be sold and at what price? What are the monopolist’s profits?

g.) Based on the profits obtained when forcing this monopolist to charge a competitive price, the regulator now requires this monopoly to set price equal to average cost (this is called second-best pricing). What is the monopolist’s profits when charging second-best prices?

Please show all work to receive full credit.

Section II: Game theoretic approach toward analyzing output behavior of rivals (50 points)

Firms X and Y are duopolists facing the same two strategy choices. They can either tacitly collude or they can compete in a Cournot fashion. The market demand for their product, as well as their respective cost curves are as follows:

C(qx) = C(qy) =25qi (firm X and Y’s total cost curves), where i=x or y

MC(qy) =MC(qy) = 25 (firm X and Y’s marginal cost curves)

P=50-Q, (market demand), where Q = qx + qy .

C(q) and have the same cost structure: marginal cost and average cost both=25

a.) Calculate the respective output levels of each firm if they collude to set monopoly prices.

b.) Calculate the respective output levels of each firm if they adhere to the Cournot model.

c.) What four possible output combinations are available in this game?

d.) Derive the for possible profit outcomes for each firm that arise from producing the four possible output combinations available in this game.

e.) Use these profit outcomes to construct a 2×2 normal representative matrix for this game.

f.) Does either firm have a dominant strategy? If so, what is it?

g.) Is there a Nash equilibrium for this game? If so, what is it?

h.) Is the outcome of this game a prisoner’s dilemma? Please Explain?

Please show all work to receive full credit.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
• 24/7 support
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
• Expert Proofreading
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

### Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

STAY HOME, SAVE LIVES. Order your essay today and save 20% with the discount code ATOM