Monopoly

Prof. John M. Abowd

Themes of Today's Lecture

Constant Cost, External Economies, External Diseconomies in an Industry

Long Run Supply in the Telecommunications Industry (Example)

Long Run Competitive Supply Reviewed

Why are there zero economic profits in the long run?

Market Structures

Competitive Market

Monopoly

Oligopoly

Monopolistic Competition

Question

Answer

The Classic Monopoly

Question

  • For the monopolist shown in your handout, which of the following price and quantity combinations is optimal?
    Price = $25, Quantity = 150
    Price = $30, Quantity = 140
    Price = $55, Quantity = 90
    Price = $70, Quantity = 60
  • You can solve the problem from first principles: maximize profits.

Quantity

Market Demand Price

Total Costs

Marginal Cost

Average Total Cost

0

100.00

800

10

95.00

1,500

82.50

150.00

20

90.00

2,450

65.00

122.50

30

85.00

2,800

42.50

93.33

40

80.00

3,300

32.50

82.50

50

75.00

3,450

20.50

69.00

60

70.00

3,710

18.50

61.83

70

65.00

3,820

9.50

54.57

80

60.00

3,900

9.00

48.75

90

55.00

4,000

10.00

44.44

100

50.00

4,100

12.50

41.00

110

45.00

4,250

17.50

38.64

120

40.00

4,450

20.00

37.08

130

35.00

4,650

25.00

35.77

140

30.00

4,950

30.00

35.36

150

25.00

5,250

35.00

35.00

160

20.00

5,650

45.00

35.31

170

15.00

6,150

60.00

36.18

180

10.00

6,850

75.00

38.06

190

5.00

7,650

100.00

40.26

200

0.00

8,850

44.25

Answer

Classic Monopoly

Monopoly Selling in a Single Market at a Single Price

Quantity

Market Demand Price

Total Costs

Marginal Cost

Average Total Cost

Total Revenue

Marginal Revenue

Economic Profits

0

100.00

800

0.00

-800

10

95.00

1,500

82.50

150.00

950.00

90.00

-550

20

90.00

2,450

65.00

122.50

1,800.00

80.00

-650

30

85.00

2,800

42.50

93.33

2,550.00

70.00

-250

40

80.00

3,300

32.50

82.50

3,200.00

60.00

-100

50

75.00

3,450

20.50

69.00

3,750.00

50.00

300

60

70.00

3,710

18.50

61.83

4,200.00

40.00

490

70

65.00

3,820

9.50

54.57

4,550.00

30.00

730

80

60.00

3,900

9.00

48.75

4,800.00

20.00

900

90

55.00

4,000

10.00

44.44

4,950.00

10.00

950

100

50.00

4,100

12.50

41.00

5,000.00

0.00

900

110

45.00

4,250

17.50

38.64

4,950.00

-10.00

700

120

40.00

4,450

20.00

37.08

4,800.00

-20.00

350

130

35.00

4,650

25.00

35.77

4,550.00

-30.00

-100

140

30.00

4,950

30.00

35.36

4,200.00

-40.00

-750

150

25.00

5,250

35.00

35.00

3,750.00

-50.00

-1,500

160

20.00

5,650

45.00

35.31

3,200.00

-60.00

-2,450

170

15.00

6,150

60.00

36.18

2,550.00

-70.00

-3,600

180

10.00

6,850

75.00

38.06

1,800.00

-80.00

-5,050

190

5.00

7,650

100.00

40.26

950.00

-90.00

-6,700

200

0.00

8,850

44.25

0.00

-8,850

  • Economic profits equal total revenue minus total costs.
  • Marginal revenue is the rate of change of total revenue (just like marginal cost is the rate of change of total cost) as quantity increases.
  • Economic profits are maximized when marginal revenue equals marginal costs

Derivation of Monopolist's Optimal Price and Quantity

  • For both the monopolist and the competitor, profits are the difference between total revenues and total costs (TR - TC).
  • A maximum occurs where the rate of change of total revenues equals that of total costs.
  • For the competitor, when quantity produced changes there is no change in the market price, so marginal revenue equals the market price equals marginal cost.
  • For a monopolist, every time quantity increases, the market price received for each unit sold falls, so marginal revenue equals the price plus the (old) quantity times the slope of the demand curve (negative).
  • Marginal revenue equals marginal cost for both competitors and monopolists but the monopolist charges a price that exceeds marginal cost.

Implications of the Monopolist's Profit Maximum

Graphical display of Monopolist's Solution

wpeC.gif (11138 bytes)
  • The monopolist sets marginal revenue equal to marginal cost at MR=MC=$10.
  • The optimal quantity is thus 90 units, which implies a market price of $55/unit.
    The monopoly profits (light blue in the graph) are the difference between price ($55) and average total cost ($44.44) times the number of units sold.
  • Notice that our monopolist is a “natural monopoly” the average total costs decline over the entire relevant range of production and the minimum efficient scale (150) is bigger than the entire market.
  • Notice that if our monopolist operated at the competitive equilibrium (Price=MC=$30, Quantity=140), the firm would make a loss (ATC>Price).

Price Discriminating Monopolists

Question

Two Prices Are Better Than One for Movie Tickets

Types of Monopolies

Natural Monopolies

What Happens When Technology Changes?

Are There "Good" Monopolies?

What is a "Good" Monopoly?

"Good" Monopolies

Should the Government Regulate Monopolies.

Summary of Lecture

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