Firm Behavior in Economics

EC 11 – Product Theory
 
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2 inputs – Labor and Capital to Produce an output
Q = F(K, L)
Could add other inputs, but amount used varies with K,L
In short-turn, K fixed
Firm decides how much labor to use
 
Observe two regions for a typical firm
Change in Q/Change in L rising (specialization)
Example
Change in Q/Change in L falling (diminishing returns)
Third region - Q↓ as L↑ can be justified theoretically, but
not practically
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    Labor
 
 
 
     Output
  
     -------
  
     ----------
   
0
   
  0
   
1
   
10
   
2
   
25
   
3
   
50
   
4
   
65
   
5
   
70
   
6
   
70
Calculate Average Product, Marginal Product
for each Level of Output
  
     Labor  Output
 
     AP (Q/L)
  
MP (
Δ
Q/
Δ
L)
  
     -------  ----------      -----------
   
0
 
  0
 
         -----
   
   
1
 
10
  
10
   
10
   
2
 
25
  
12.5
   
15
   
3
 
50
  
16.7
   
25
   
4
 
65
  
16.2
   
15
   
5
 
70
  
14
   
  5
   
6
 
70
  
11.7
   
  0
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Region 1 – Gains to specialization, must exhaust these
Region 3 – Marginal Product is <0, Add labor, get
reduced
 output
Therefor, must operate in Region 2
If wages are high and prices are low, MP must be high,
and firm operates at beginning of Region 2
If wages are low, and prices are high, can operate at end
of Region 2
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Assumptions
Firms profit-maximize
This is what empirical data supports
Firm faces two kinds of costs, fixed and variable
Fixed costs are sunk costs, and are irrelevant to the choice
of where to produce
Firms face both gains to specialization and diminishing
returns
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Economists address signaling problem of profits by
dividing up costs into explicit and implicit costs
No way of knowing if a certain level of profitability if
“good” unless you compare it to something else
Profits of firm in economics = Revenue – Explicit Costs –
Implicit Costs
Implicit Costs are what would be made in the next best industry
If > 0, firm should remain where it is
If < 0, firm should change industries
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Separate out fixed and variable costs
Those that don’t vary with output and those that rise with
output
Once again, for simplicity, use labor as the sole variable
input
Example (Let the cost of labor = $100/unit)
Labor    Quantity                 Variable Costs   Fixed Costs   Total Costs
    0
 
          0
   
    0
  
    200
  
200
    1
 
          5
   
100
  
    200
  
300
    2
 
        15
   
200
  
    200
  
400
    3
 
        30
   
300
  
    200
  
500
    4
 
        50
   
400
  
    200
  
600
    5
 
        65
   
500
  
    200
  
700
    6
 
        75
   
600
  
    200
  
800
    7
 
        80
   
700
  
    200 
  
900
    8
 
        80
   
800
  
    200
 
          1000
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AFC = FC/Q
AVC = VC/Q
ATC = TC/Q
MC = 
Δ
TC/
Δ
Q = 
Δ
VC/
Δ
Q
Example (Let the cost of labor = $100/unit)
Quantity       VC 
 
    FC  
 
            TC
 
    AVC
 
          ATC
 
   MC
         0
  
    0
 
    200
  
200
 
    -----
 
           -----
 
   -----
 
         5
  
100
 
    200
  
300
 
      20
 
       
 
60
 
     20
       15
  
200
 
    200
  
400
 
      13.3
 
26.7
 
     10
       30
  
300
 
    200
  
500
 
      10
  
16.7
 
       6.7
       50
  
400
 
    200
  
600             8
 
            12
 
       5
 
       65
  
500
 
    200
  
700
 
        7.7
 
10.8
 
       6.7
       75
  
600
 
    200
  
800
 
        8
  
10.7
 
     10
       80
  
700
 
    200 
  
900
 
        8.8
 
11.3
 
     20
       80
  
800
 
    200
 
          1000
 
      10
  
12.5
 
     -----
Graph…………..
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P
 
=
$
2
0
Quantity       VC 
 
    FC  
 
            TC
 
       Revenue  
 
    Profit (TR-TC)
         0
  
    0
 
    200
  
200
 
    
 
    0
  
-200
         5
  
100
 
    200
  
300
 
             100
  
-200
       15
  
200
 
    200
  
400
 
      
 
300
  
-100
       30
  
300
 
    200
  
500
 
      
 
600
 
            +100
       50
  
400
 
    200
  
600                 1000
 
            +400
       65
  
500
 
    200
  
700
 
           1300
 
            +600
       75
  
600
 
    200
  
800
 
           1500
 
            +700
       80
  
700
 
    200 
  
900
 
           1600
 
            +700
       80
  
800
 
    200
 
          1000
 
           1600
 
            +600
Costs in the Long Run
 
Market Structures
Perfect Competition
Monopoly
Monopolistic Competition
Oligopoly
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Homogeneous product
Free entry and exit
Many producers
No one producers is a substantial part of the market
Market v. Firm
Price determined at intersection of supply and demand
Individual firm then takes as given
Price set by interaction of thousands of demanders and thousands
of producers – Firm cannot influence
 
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(
Δ
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/
Δ
Q
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Price
 
    Quantity
 
        Revenue
 
Marginal Revenue
$10
  
10
  
$100
   
100/10 = 10
  
$10
  
20
  
$200
   
100/10 = 10
$10
  
30
  
$300
   
100/10 = 10
$10
  
40
  
$400
   
100/10 = 10
 
Conclude: MR = P
Profit-maximization at MR = MC
Therefor, at P = MC
 
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P>ATC -> profits
P<ATC -> losses
P = ATC -> zero profits (LT equilibrium)
Five Critical Points
P > ATC -> profits
P = ATC -> zero economics profits
AVC < P < ATC -> firm loses money, but stays open in the SR
P = AVC -> indifference point
P < AVC -> Shut-down
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Free entry and exit
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Market highly efficient
Produce at P = MC (social efficiency) in both short- and
long-run
Produce at technical efficiency in LR (minimum ATC)
Negative
Does not promote innovation
Highly competitive environment does not produce
resources necessary for innovation
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Market Characteristics
Single firm
Strong barriers to entry
No close substitutes
Firm and market are the same
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      Price
 
           Quantity   Revenue  Marginal Revenue
 
50
   
  0
 
        0
 
 
40
   
10
 
   400
   
40
 
 
35
   
20
 
   700
   
30
 
30
   
30
 
   900
   
20
 
25
   
40
 
 1000
   
10
 
20
   
50
 
 1000
  
  
 
  0
 
15
   
60
 
   900
 
                   -10
Graphically
Equilibrium
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Legal
Post Office
Patent Monopolies
Economies of Scale
Microsoft, Google (not a true monopoly)
Natural Monopolies
Geographic monopolies
Joe’s Last Chance Garage
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Federal law seeks to prevent monopoly through
antitrust actions
Federal Trade Commission
+Justice Department if illegal (collusion)
Alternative is to allow monopoly and then regulate
Antitrust also addresses cartels, which are pseudo-
monopolies
Firms that band together and set prices and quantities
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Firm under-produces
Consumers face lower Q and higher P
 
Lose both technical and allocative efficiency
And, these two desirable points are at different Qs
Impossible for firm to produce at both points
Can regulate to one of two points if natural monopoly
Balanced by tendency of monopoly firms to innovate
Insert slides here……..
 
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Profits can occur in short-run
Due to product differentiation
In long-run, since barriers to entry are weak, profits
will be eliminated
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Transition to Long-Run
Key Things to Note….
Zero profits in long-run (similar to perfect
competition)
Not at minimum ATC or P = MC
Do not achieve either form of efficiency
Trade-off -> Consumers willing to pay extra for
differentiated products
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Market dominated by 3 or 4 large firms
Measured by concentration ratio or Herfindahl Index
Strong barriers to entry
Product can either be differentiated or homogeneous
(pure oligopoly)
Automobiles v. Steel
Price interdependency
Price leadership
Game Theory
Video
https://www.bing.com/videos/search?q=youtube+beautiful+mind+ba
r+scene&view=detail&mid=F3E04B2319DE14334FE1F3E04B2319DE1
4334FE1&FORM=VIRE
Profits in 2 Firm Game
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2 Demand Curves
Proportional and Perceived
Assumptions behind each
Results in Kink in demand curve
 
 
Firm must operate at kink, or the entire model
collapses and we start over
If costs are continuously rising, eventually the whole
industry will raise its prices in tandem
Results in idea of price leader – firm that is responsible for
all price changes
Usually biggest firm
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Group of firms that band together to set prices
Illegal in U.S. – common in world markets
Petroleum, sugar, tin, bauxite, coffee, cocoa and natural rubber
DeBeers
Also common in Europe due to differences in antitrust
enforcement
Goal of Cartel is to Maximize Joint Profits
Note – can no longer set MC = MR
Cartelized industries are NOT markets, they are anti-
markets
Behave more like a monopolist that can ignore its demand
curve
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Product must be relatively homogeneous
Few Producers
Barriers to Entry
No Close Substitutes
Nonperishable
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Four major examples:
Externalities
e.g. Pollution
Public Goods
Defense
Congestion (as in traffic)
Consumer Protection
Externalities
Can be positive or negative
Example of positive – flu shots
Paper mill example
Firm externalizes costs of pollution
Produces too much of the good
Solution is to re-internalize the cost through taxation
CO
2
 
as example
 
Public Goods
Pure
Lighthouses
Fireworks
National Defense
Street lighting
Impure
Police
Roads
Schools
Characteristics
Non-exclusionary
Subject to Free Ridership
In pure case……
Cannot charge for good
Product is non-exclusionary
Don’t know what price would be
Have to produce good at governmental level as a
result
Optimal provision is unknown
Political process provides means of addressing level of
provision
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Driving on road creates negative externality
Costs rise as congestion rises
Highest at 7:30 AM and 5:00 PM
Time-sensitive tolls the easiest solution
Becoming the norm
 
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Failure is lack of information
Drugs, airline flights, product safety
Consumer unable to judge safety of product on his/her
own
Problems
May lead to unintended consequences that run counter to
intentions (FDA)
Industry capture (ICC)
 
The greater the regulation, the lower the marginal
benefit
Trick is to find appropriate level of regulation
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Explore the theory of firm behavior in economics, focusing on the model of a firm's inputs to produce an output, the concept of specialization and diminishing returns, analysis of average and marginal product, graphical representation, and considerations in determining where a firm produces. Learn about profit maximization, fixed and variable costs, gains to specialization, and the signaling problem of profits in economics.

  • Economics
  • Firm Behavior
  • Model of Firm
  • Specialization
  • Marginal Product

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  1. EC 11 Product Theory

  2. Model of Firm Model of Firm 2 inputs Labor and Capital to Produce an output Q = F(K, L) Could add other inputs, but amount used varies with K,L In short-turn, K fixed Firm decides how much labor to use

  3. Observe two regions for a typical firm Change in Q/Change in L rising (specialization) Example Change in Q/Change in L falling (diminishing returns) Third region - Q as L can be justified theoretically, but not practically

  4. Example. Example . Labor ------- Output ---------- 0 10 25 50 65 70 70 0 1 2 3 4 5 6

  5. Calculate Average Product, Marginal Product for each Level of Output Labor Output ------- ---------- 0 1 2 3 4 5 6 AP (Q/L) ----------- ----- 10 12.5 16.7 16.2 14 11.7 MP ( Q/ L) 0 10 25 50 65 70 70 10 15 25 15 5 0

  6. Graphically Graphically

  7. Where Firm Produces Where Firm Produces Region 1 Gains to specialization, must exhaust these Region 3 Marginal Product is <0, Add labor, get reduced output Therefor, must operate in Region 2 If wages are high and prices are low, MP must be high, and firm operates at beginning of Region 2 If wages are low, and prices are high, can operate at end of Region 2

  8. Brief Introduction to Behavior of the Firm Brief Introduction to Behavior of the Firm Assumptions Firms profit-maximize This is what empirical data supports Firm faces two kinds of costs, fixed and variable Fixed costs are sunk costs, and are irrelevant to the choice of where to produce Firms face both gains to specialization and diminishing returns

  9. Additionally. Additionally . Economists address signaling problem of profits by dividing up costs into explicit and implicit costs No way of knowing if a certain level of profitability if good unless you compare it to something else Profits of firm in economics = Revenue Explicit Costs Implicit Costs Implicit Costs are what would be made in the next best industry If > 0, firm should remain where it is If < 0, firm should change industries

  10. Introduction to Costs Introduction to Costs Separate out fixed and variable costs Those that don t vary with output and those that rise with output Once again, for simplicity, use labor as the sole variable input

  11. Example (Let the cost of labor = $100/unit) Labor Quantity Variable Costs Fixed Costs Total Costs 0 0 1 5 2 15 3 30 4 50 5 65 6 75 7 80 8 80 0 200 200 200 200 200 200 200 200 200 200 300 400 500 600 700 800 900 1000 100 200 300 400 500 600 700 800

  12. Redefine Curves as Averages and Redefine Curves as Averages and Marginals Marginals AFC = FC/Q AVC = VC/Q ATC = TC/Q MC = TC/ Q = VC/ Q

  13. Example (Let the cost of labor = $100/unit) Quantity VC 0 5 15 30 50 65 75 80 80 FC 200 200 200 200 200 200 200 200 200 TC 200 300 400 500 600 8 700 800 900 1000 AVC ----- 20 13.3 10 ATC ----- 60 26.7 16.7 12 10.8 10.7 11.3 12.5 MC ----- 20 10 0 100 200 300 400 500 600 700 800 6.7 5 6.7 10 20 ----- 7.7 8 8.8 10

  14. Graph..

  15. Profit Profit- -Maximization Maximization Let P =$20 Let P =$20 Quantity VC 0 5 15 30 50 65 75 80 80 FC 200 200 200 200 200 200 200 200 200 TC 200 300 400 500 600 700 800 900 1000 Revenue Profit (TR-TC) -200 -200 -100 +100 +400 +600 +700 +700 +600 0 0 100 200 300 400 500 600 700 800 100 300 600 1000 1300 1500 1600 1600

  16. Costs in the Long Run

  17. Market Structures Perfect Competition Monopoly Monopolistic Competition Oligopoly

  18. Assumptions Underlying Perfect Competition Assumptions Underlying Perfect Competition Homogeneous product Free entry and exit Many producers No one producers is a substantial part of the market

  19. Market v. Firm Price determined at intersection of supply and demand Individual firm then takes as given Price set by interaction of thousands of demanders and thousands of producers Firm cannot influence

  20. Price and Marginal Revenue ( Price and Marginal Revenue ( TR/ TR/ Q) Q) Price $10 $10 $10 $10 Quantity 10 20 30 40 Revenue $100 $200 $300 $400 Marginal Revenue 100/10 = 10 100/10 = 10 100/10 = 10 100/10 = 10

  21. Conclude: MR = P Profit-maximization at MR = MC Therefor, at P = MC

  22. Three Possible Outcomes Three Possible Outcomes P>ATC -> profits P<ATC -> losses P = ATC -> zero profits (LT equilibrium)

  23. Five Critical Points P > ATC -> profits P = ATC -> zero economics profits AVC < P < ATC -> firm loses money, but stays open in the SR P = AVC -> indifference point P < AVC -> Shut-down

  24. Long Long- -Run Adjustment Run Adjustment Free entry and exit

  25. Positives and Negatives of Perfect Competition Positives and Negatives of Perfect Competition Market highly efficient Produce at P = MC (social efficiency) in both short- and long-run Produce at technical efficiency in LR (minimum ATC) Negative Does not promote innovation Highly competitive environment does not produce resources necessary for innovation

  26. Market Structure #2 Market Structure #2- - Monopoly Monopoly Market Characteristics Single firm Strong barriers to entry No close substitutes Firm and market are the same

  27. Demand and Marginal Revenue Demand and Marginal Revenue Price 50 40 35 30 25 20 15 Quantity Revenue Marginal Revenue 0 0 10 400 20 700 30 900 40 1000 50 1000 60 900 40 30 20 10 0 -10

  28. Graphically

  29. Equilibrium

  30. Causes of Monopoly Causes of Monopoly Legal Post Office Patent Monopolies Economies of Scale Microsoft, Google (not a true monopoly) Natural Monopolies Geographic monopolies Joe s Last Chance Garage

  31. Antitrust Antitrust Federal law seeks to prevent monopoly through antitrust actions Federal Trade Commission +Justice Department if illegal (collusion) Alternative is to allow monopoly and then regulate Antitrust also addresses cartels, which are pseudo- monopolies Firms that band together and set prices and quantities

  32. Problems with Monopoly Problems with Monopoly Firm under-produces Consumers face lower Q and higher P

  33. Lose both technical and allocative efficiency And, these two desirable points are at different Qs Impossible for firm to produce at both points Can regulate to one of two points if natural monopoly Balanced by tendency of monopoly firms to innovate

  34. Insert slides here..

  35. Short Short- -Run Equilibrium Run Equilibrium Profits can occur in short-run Due to product differentiation In long-run, since barriers to entry are weak, profits will be eliminated

  36. Short Short- -Run Monopolistic Competition Run Monopolistic Competition

  37. Transition to Long-Run

  38. Key Things to Note. Zero profits in long-run (similar to perfect competition) Not at minimum ATC or P = MC Do not achieve either form of efficiency Trade-off -> Consumers willing to pay extra for differentiated products

  39. Oligopoly Oligopoly Market dominated by 3 or 4 large firms Measured by concentration ratio or Herfindahl Index Strong barriers to entry Product can either be differentiated or homogeneous (pure oligopoly) Automobiles v. Steel Price interdependency Price leadership

  40. Game Theory Video https://www.bing.com/videos/search?q=youtube+beautiful+mind+ba r+scene&view=detail&mid=F3E04B2319DE14334FE1F3E04B2319DE1 4334FE1&FORM=VIRE

  41. Profits in 2 Firm Game High Price (Firm 1) $100m (I)/$50m (2) $150m(1)/$30m (2) $50m (I)/$80m (2) Low Price (Firm 1) High Price (Firm 2) Low Price (Firm 2) $70m(I)/$40m (2)

  42. Alternative Alternative Graphical Model Graphical Model 2 Demand Curves Proportional and Perceived Assumptions behind each Results in Kink in demand curve

  43. Firm must operate at kink, or the entire model collapses and we start over If costs are continuously rising, eventually the whole industry will raise its prices in tandem Results in idea of price leader firm that is responsible for all price changes Usually biggest firm

  44. Cartels Cartels Group of firms that band together to set prices Illegal in U.S. common in world markets Petroleum, sugar, tin, bauxite, coffee, cocoa and natural rubber DeBeers Also common in Europe due to differences in antitrust enforcement

  45. Goal of Cartel is to Maximize Joint Profits Note can no longer set MC = MR Cartelized industries are NOT markets, they are anti- markets Behave more like a monopolist that can ignore its demand curve

  46. Conditions for Cartelization Conditions for Cartelization Product must be relatively homogeneous Few Producers Barriers to Entry No Close Substitutes Nonperishable

  47. Graphically Graphically

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