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Monopoly

April 8, 2013
Announcements
• Problem Set 1 is due! Pass to end of aisle.
• Thanks for clicking to ``follow’’ class website!
  (now 90 are signed up.)
• Thanks for registering your clickers! Now ____
  people are really cool.
• Today is the beginning of our discussion of
  imperfections. (New material for nearly
  everyone.)
Last Class
• Studied how marginal revenue and marginal
  cost are calculated in simple examples.
• We will apply this basic knowledge to study
  how monopolies profit-maximize.
Learning Goals for Today
• List the sources of market power that make a
  firm a monopoly.
  – We will study how monopolies gain special
    privilege in the market place, and what this
    means.
• Show how a given monopoly will behave in
  the market place
  – Use marginal revenue and marginal cost to predict
    profit-maximizing behavior.
What is a perfectly competitive
                market?
• Firms have no influence over what the going
  price in the market is.
  – ``Price-takers.’’
• Characteristic of perfectly competitive
  markets:
  – All firms sell the same (really the same!) product.
  – There are many buyers and sellers.
  – There are no costly barriers to starting a business.
  – Both consumers and firms are well-informed.
What is individual firm demand under
         perfect competition?
         N firms
     P   (Whole Market)           P   One Firm Demand

              S=MC                          S=MC

    P*
                                                        D
                          D



             NQ*                            Q*
                              Q                             Q
Geometry of Profits
• Individual firm profits:
   – ∏=PDQ*-TC(Q*)
   – ATC=TC/Q* implies ∏=(PD-ATC)Q*.
• Recall: Why does MC intersect ATC at its trough?
                   P    One Firm Profit

                                          ATC
                              S=MC
                                                PD




                                Q*         Q
Putting it together: perfect competition.
• Individual profits must be zero.
• If profits were negative, firms would shut down.
• If profits were positive, more firms would enter market
P      N firms           P   One Firm Demand           P   One Firm Profit
                                                                             ATC
         S=MC                      S=MC                          S=MC


                                               D
                 D



        NQ*                        Q*                             Q*
                     Q                             Q                          Q
Why does firm entry squeeze out profits?
A. An entering firm can steal all unmet demand.
B. An entering firm causes quantity sold by each
   original firm to decrease.
Answer: B
• Assume profits (red rectangle) are positive and the market quantity is is
  NQ*.
• If another firm enters market, NQ* quantity now shared amongst N+1 firms.
• In this case, Q* being produced by each firm reduces to N(N+1)Q* being
  produced by each firm, so red rectangle gets smaller.

                     P     One Firm Profit

                                             ATC
                                 S=MC
                                                   PD




                                              Q
                         N/(N+1)Q*      Q*
Market Power
• Another interpretation of ``price takers’’ is
  that they have no market power.
• Conversely, but equivalently, market power is
  the ability of an individual firm to set the
  going price in the market place.
• What are some sources of market power?
Some sources of market power
1   Exclusive control of inputs.
2   Patents and copyrights.
3   Government licenses.
4   Network economies.

    When market power allows one firm to take over the
      market, that firm is called a monopoly.
Fifth type: Natural monopolies
• Average production cost falls as output
  increases
• One source: Economies of scale
• Another source: High fixed costs
High Fixed Costs
• FC = fixed cost (start-up cost)
• MC=marginal cost (assume constant: Example is one
  more unit takes one more laborer which costs one more
  wage)
• TC=FC + VC
• ATC=FC/Q + VC/Q where VC/Q=MC




                                 ATC=FC/Q+MC
                                    MC
                                    Q
High Fixed Costs Due to R&D
• Approximate cost of building a state-of-the-art manufacturing
  plant for microprocessors in Asia: $3 billion.

• Average cost of bringing a new drug to market: $1.3 billion.

• Annual R&D expenditures
   – Google: 5.2 billion
   – Microsoft: 9.4 billion
   – Apple: 2.6 billion
   – Pfizer: 8.4 billion
Recall what a perfectly competitive
               market is
• Characteristic of perfectly competitive
  markets:
  – All firms sell the same (really the same!) product.
  – There are many buyers and sellers.
  – There are no costly barriers to starting a business.
  – Both consumers and firms are well-informed.
• Which do monopolies contradict?
The Essential Difference Between Perfectly and
        Imperfectly Competitive Firms


P                               P




                            D


                                                          D

                            Q                             Q

    Perfectly Competitive           Imperfectly Competitive
             Firm                            Firm
Under perfect competition, P* is the
  market price. What price would a
profit-maximizing firm charge if there
 were no competition, ie, one firm?
                   P
A.   PA       PA                 MC

B.   PB
              PB
C.   PC       P*
D.   PD(=0)   PC
E.   P*                          PD
              PD
                       Q*
                                      Q
                            MR
Deciding Quantity
• Q=8, P=4,                       $
  MC=3, MR=0                      8
  MC>MR, decrease Q               7
                                                        MC
                                  6
                                  5
• Q=4, P=6
                                  4
  MC=1.5, MR=4                    3
  MC<MR, increase Q               2
                                  1                          D
• Q=6, P=5
                                      2   4   6   8 10 12 14 16
  MC=2=MR, optimal Q
                                                   MR
  Q determined by setting MC=MR
Deciding Price
                                 $
• Q=6, P=5                        8
  MC=2=MR, optimal Q              7
                                                        MC
  Q determined by setting MC=MR 6
                                  5
• Don’t charge $2! Trace up to
                                  4
  demand curve; consumers willing
                                  3
  to pay $5 when Q=6, so charge
                                  2
  them that.
                                 1                           D

                                      2   4   6   8 10 12 14 16
                                                   MR
Again: Under perfect competition, P*
is the market price. What price would
   a profit-maximizing firm charge if
  there were no competition, ie, one
             P   firm?
A.   PA       PA              MC

B.   PB
              PB
C.   PC       P*
D.   PD(=0)   PC
E.   P*                      PD
              PD
                   Q*
                                   Q
                        MR
The Invisible Hand Fails
 P
       The socially optimal
      amount occurs where
            MC = MB         S=MC

PM
                          The monopolist's optimal
                           amount occurs where
                                 MC = MR


                                   D

         QM         MR                          Q



                                                     22
Causes DWL
                               DWL
          P


CS




     PS




                           D


                   MR                Q



                                         23
Which Monopoly should shut down?
                  A                                B
$                                 $
8                                 8
7                           ATC   7
                       MC                               MC
6                                 6
                                  5                          ATC
5
4                                 4
3                                 3
2                                 2
                            D     1                            D
1

     2   4   6   8 10 12 14 16        2   4   6   8 10 12 14 16
                  MR                               MR


                                                                   24
Answer: A. Recall: Profits=(P-
                   ATC)Q
                 A: LOSS                           B: PROFIT
$                                $
8                                8
7                          ATC   7
                      MC                               MC
6                                6
                                 5                          ATC
5
4                                4
3                                3
2                                2
                           D     1                            D
1

    2   4   6   8 10 12 14 16        2   4   6   8 10 12 14 16
                 MR                               MR


                                                                  25
Summary: Comparing Monopoly
   and Perfect Competition

    Monopoly     Perfect Competition


    MC = MR           MC = MR

     P >MR             P = MR
     P > MC            P = MC
   Deadweight      No Deadweight
      Loss              Loss

                                       26
Price Discrimination
• Price discrimination: the practice of charging different buyers
  different prices for essentially the same good.
• How does price discrimination affect output and profits?
• Simple model
   – Assume fixed costs=0 and that marginal costs are constant.
   – Implies that marginal costs equal average costs
   – Example: If marginal cost=5, then if Q=5, TC=25 and ATC
      (=TC/Q)=5.
Output With and Without Price
           Discrimination
P                                   P
          CS


                     DWL
                                           PS
                           MC=ATC                            MC=ATC

               MR        D                                   D

                           Q                                   Q
                                                                    Can charge each
                                              Perfectly Price       buyer exactly
    Single-Price Monopolist
                                        Discriminating Monopolist   his or her
                                                                    reservation
                                                                    price.
Example
• Rebates: The assumption is that people with high reservation
  prices are wealthy and that the opportunity cost of their time
  is too high to be bothered to fill out the paperwork to get the
  rebate.
What type of monopoly is Verizon /
      what is the source of its market
                  power?
1    Exclusive control of inputs.
2    Patents and copyrights.
3    Government licenses.
4    Network economies.
A.   Natural monopoly.
Which of the following is price
      discrimination in this case?

A. Good
B. Bad
C. Can’t Say

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040813

  • 2. Announcements • Problem Set 1 is due! Pass to end of aisle. • Thanks for clicking to ``follow’’ class website! (now 90 are signed up.) • Thanks for registering your clickers! Now ____ people are really cool. • Today is the beginning of our discussion of imperfections. (New material for nearly everyone.)
  • 3. Last Class • Studied how marginal revenue and marginal cost are calculated in simple examples. • We will apply this basic knowledge to study how monopolies profit-maximize.
  • 4. Learning Goals for Today • List the sources of market power that make a firm a monopoly. – We will study how monopolies gain special privilege in the market place, and what this means. • Show how a given monopoly will behave in the market place – Use marginal revenue and marginal cost to predict profit-maximizing behavior.
  • 5. What is a perfectly competitive market? • Firms have no influence over what the going price in the market is. – ``Price-takers.’’ • Characteristic of perfectly competitive markets: – All firms sell the same (really the same!) product. – There are many buyers and sellers. – There are no costly barriers to starting a business. – Both consumers and firms are well-informed.
  • 6. What is individual firm demand under perfect competition? N firms P (Whole Market) P One Firm Demand S=MC S=MC P* D D NQ* Q* Q Q
  • 7. Geometry of Profits • Individual firm profits: – ∏=PDQ*-TC(Q*) – ATC=TC/Q* implies ∏=(PD-ATC)Q*. • Recall: Why does MC intersect ATC at its trough? P One Firm Profit ATC S=MC PD Q* Q
  • 8. Putting it together: perfect competition. • Individual profits must be zero. • If profits were negative, firms would shut down. • If profits were positive, more firms would enter market P N firms P One Firm Demand P One Firm Profit ATC S=MC S=MC S=MC D D NQ* Q* Q* Q Q Q
  • 9. Why does firm entry squeeze out profits? A. An entering firm can steal all unmet demand. B. An entering firm causes quantity sold by each original firm to decrease.
  • 10. Answer: B • Assume profits (red rectangle) are positive and the market quantity is is NQ*. • If another firm enters market, NQ* quantity now shared amongst N+1 firms. • In this case, Q* being produced by each firm reduces to N(N+1)Q* being produced by each firm, so red rectangle gets smaller. P One Firm Profit ATC S=MC PD Q N/(N+1)Q* Q*
  • 11. Market Power • Another interpretation of ``price takers’’ is that they have no market power. • Conversely, but equivalently, market power is the ability of an individual firm to set the going price in the market place. • What are some sources of market power?
  • 12. Some sources of market power 1 Exclusive control of inputs. 2 Patents and copyrights. 3 Government licenses. 4 Network economies. When market power allows one firm to take over the market, that firm is called a monopoly.
  • 13. Fifth type: Natural monopolies • Average production cost falls as output increases • One source: Economies of scale • Another source: High fixed costs
  • 14. High Fixed Costs • FC = fixed cost (start-up cost) • MC=marginal cost (assume constant: Example is one more unit takes one more laborer which costs one more wage) • TC=FC + VC • ATC=FC/Q + VC/Q where VC/Q=MC ATC=FC/Q+MC MC Q
  • 15. High Fixed Costs Due to R&D • Approximate cost of building a state-of-the-art manufacturing plant for microprocessors in Asia: $3 billion. • Average cost of bringing a new drug to market: $1.3 billion. • Annual R&D expenditures – Google: 5.2 billion – Microsoft: 9.4 billion – Apple: 2.6 billion – Pfizer: 8.4 billion
  • 16. Recall what a perfectly competitive market is • Characteristic of perfectly competitive markets: – All firms sell the same (really the same!) product. – There are many buyers and sellers. – There are no costly barriers to starting a business. – Both consumers and firms are well-informed. • Which do monopolies contradict?
  • 17. The Essential Difference Between Perfectly and Imperfectly Competitive Firms P P D D Q Q Perfectly Competitive Imperfectly Competitive Firm Firm
  • 18. Under perfect competition, P* is the market price. What price would a profit-maximizing firm charge if there were no competition, ie, one firm? P A. PA PA MC B. PB PB C. PC P* D. PD(=0) PC E. P* PD PD Q* Q MR
  • 19. Deciding Quantity • Q=8, P=4, $ MC=3, MR=0 8 MC>MR, decrease Q 7 MC 6 5 • Q=4, P=6 4 MC=1.5, MR=4 3 MC<MR, increase Q 2 1 D • Q=6, P=5 2 4 6 8 10 12 14 16 MC=2=MR, optimal Q MR Q determined by setting MC=MR
  • 20. Deciding Price $ • Q=6, P=5 8 MC=2=MR, optimal Q 7 MC Q determined by setting MC=MR 6 5 • Don’t charge $2! Trace up to 4 demand curve; consumers willing 3 to pay $5 when Q=6, so charge 2 them that. 1 D 2 4 6 8 10 12 14 16 MR
  • 21. Again: Under perfect competition, P* is the market price. What price would a profit-maximizing firm charge if there were no competition, ie, one P firm? A. PA PA MC B. PB PB C. PC P* D. PD(=0) PC E. P* PD PD Q* Q MR
  • 22. The Invisible Hand Fails P The socially optimal amount occurs where MC = MB S=MC PM The monopolist's optimal amount occurs where MC = MR D QM MR Q 22
  • 23. Causes DWL DWL P CS PS D MR Q 23
  • 24. Which Monopoly should shut down? A B $ $ 8 8 7 ATC 7 MC MC 6 6 5 ATC 5 4 4 3 3 2 2 D 1 D 1 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 MR MR 24
  • 25. Answer: A. Recall: Profits=(P- ATC)Q A: LOSS B: PROFIT $ $ 8 8 7 ATC 7 MC MC 6 6 5 ATC 5 4 4 3 3 2 2 D 1 D 1 2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16 MR MR 25
  • 26. Summary: Comparing Monopoly and Perfect Competition Monopoly Perfect Competition MC = MR MC = MR P >MR P = MR P > MC P = MC Deadweight No Deadweight Loss Loss 26
  • 27. Price Discrimination • Price discrimination: the practice of charging different buyers different prices for essentially the same good. • How does price discrimination affect output and profits? • Simple model – Assume fixed costs=0 and that marginal costs are constant. – Implies that marginal costs equal average costs – Example: If marginal cost=5, then if Q=5, TC=25 and ATC (=TC/Q)=5.
  • 28. Output With and Without Price Discrimination P P CS DWL PS MC=ATC MC=ATC MR D D Q Q Can charge each Perfectly Price buyer exactly Single-Price Monopolist Discriminating Monopolist his or her reservation price.
  • 29. Example • Rebates: The assumption is that people with high reservation prices are wealthy and that the opportunity cost of their time is too high to be bothered to fill out the paperwork to get the rebate.
  • 30. What type of monopoly is Verizon / what is the source of its market power? 1 Exclusive control of inputs. 2 Patents and copyrights. 3 Government licenses. 4 Network economies. A. Natural monopoly.
  • 31. Which of the following is price discrimination in this case? A. Good B. Bad C. Can’t Say