Perfect Competition
Outline
I. Introduction
II. Perfect Competition in the Short-Run
  A. Demand
  B. Supply
  C. Profit Maximization
Introduction
• Characteristics of Perfect Competition
  •   Large number of buyers and sellers.
  •   Firms sell identical product.
  •   No barriers to entry or exit.
  •   Buyers and sellers have perfect information
• Perfect Comp. is our "Benchmark" Model
  – meaning it is not very realistic, but will be used
    to compare with more realistic models
Firm's Demand Curve
• Consumer Price Taking
  • Take market price as given and purchase
    according to their demand curve.
• Firms
  • Because a firm makes the same thing as so
    many other firms, if an individual firm changes
    their price, they will lose ALL of their business.
    So they have to sell the product at the market
    price. Note that they can sell as much as they
    want at that price
Firm’s Demand Curve

$

p*                     D




0                          Q
Firm's Horizontal Demand Curve
• At P > p*, Sales = 0
• At P < p*, Less Profits then if Sell at p*
• p* found from Market Equilibrium Price
Market Demand Curve


• Downward Sloping
• Obeys Law of Demand
Marginal Revenue
• Marginal Revenue is the increase in
  revenue from selling one more unit
• If the firm gets price p* for every unit it
  sells, then p* is the marginal revenue at all
  quantities.
  • MR = ∆ in TR
      ∆ in Q
• Horizontal Demand Curve means MR = P
Profit Maximization
• We assume that the firm is profit
  maximizing.
• Profit = Total Revenue - Total Cost
• Total Revenue is P*Q.
• We know what the Total Cost curve looks
  like, so let’s graph both
Total Revenue and Total Cost
                           TR
$                   TC




                                Q
Profit Maximizing
• Since the perfectly competitive firm cannot
  choose the price, the only choice left for the
  firm is to choose how much to produce.
• The firm will choose the quantity where
  TR-TC is the largest, in other words - where
  the difference between the TR and TC
  curves is the biggest
Total Revenue and Total Cost
                           TR
$                    TC




                Q*              Q
Profit Maximizing
• Note that the slope of the TR and TC curves
  are the same at this quantity.
• This means the the derivative of TR is the
  same as the derivative of TC at Q*.
• There is a way we can find Q* without
  calculus, though.
• We will need to graph the MR and MC
  curves
Profit Max without Calculus

$
                         MC


                              MR




       Q1   Q2         Q3Q4        Q
Profit Maximizing
• Consider the quantity Q1 in the previous
  graph
• At that quantity MR>MC, meaning that the
  additional revenue from selling one more is
  greater than the cost of making one more.
• This means the firm will make more profit
  by making one more, so they will
• The same is true at Q2
Profit Maximizing
• But at Q3, MR=MC, meaning that the firm
  will gewt exactly as much money from
  selling one more as it cost them to make
  one more.
• So the firm has no interest in making one
  more
Profit Maximizing
• And at Q4, MR<MC, meaning that it costs
  more to make one more than it will bring in
  when it is sold. This means the firm will
  lose money.
• So the firm would want to decrease
  production to bring MC down
The Golden Rule
• A profit maximizing firm will always
  produce where MC=MR.
• In the case of Perfect Competition, we
  know MR=P, so we could also say that a
  profit maximizing firm produces where
  P=MC.
Firm’s Supply Curve
• In other words, given a price, the firm looks
  to the MC curve and produces that quantity.
  This is a supply curve. The Perfectly
  Competitive firm’s MC curve (the upward
  sloping portion of it, at least) is its Supply
  Curve
Profit
• We can also determine exactly how much
  profit the firm is making.
• We know profit = total revenue - total cost
• Since ATC=TC/Q, we know ATC*Q=Total
  Cost
• We also knoe that total revenue = price*Q
• So Profit=(p*Q)-(ATC*Q)=(p-ATC)*Q, or
  graphically...
Profit
p            MC
                  ATC
p*                     MR
                   AVC
atc




        Q*          Q
Profit
p                                    MC
                                          ATC
p*                                             MR
      The Area of this                     AVC
      Rectangle is the Profit
atc




                                Q*          Q
Loss
• Note that as long as p>ATC at q*, there will
  be a profit.
• But it may be possible that no matter how
  much is produced, the firm will still lose
  money
• In this case the Q* is the quantity where the
  firm loses the least amount of money
• For example...
Loss
p           MC
                 ATC
                  AVC

atc
p*                      MR



       Q*          Q
Loss
p                         MC
                               ATC
                                AVC

atc   The area is
      the loss
p*                                    MR



                     Q*          Q
The decision of whether to stay
              open
• Just because a firm is losing money in the
  short run doesn’t mean it should close its
  doors. Often we hear of major firms like
  IBM posting a loss, but they stay open
• When does a firm shut down?
• Break Even Point - P = ATC
  • Firm is earning normal profits.
The decision of whether to stay
              open
• If AVC<P*<ATC, then the firm is losing
  money, BUT they are getting enough
  revenue to pay all of the variable cost and
  some of the fixed cost. If they shut down,
  they will have to pay all of the fixed cost
  with no revenue. So they are better off
  staying open and being able to pay some of
  the fixed costs than shutting down and not
  being able to pay ALL of the fixed cost.
The Shut Down Point
• Shut-down Point - P = min AVC
  • Firm is indifferent between staying in business
    and going out of business.
• Firm Supply Curve
  • MC curve at or above the Shut-down Point
Market Supply


• Sum of Individual Firm's Supply Curves
• Upward Sloping - Obeys Law of Supply
Profit Maximizing in the Short
              Run
• In the short run, the firm takes the market
  price, given by the intersection of the
  market supply and demand curves.
• The firm then produces where MC=MR and
  takes a profit or loss as long as P>AVC
Profit Maximizing in Short Run
P             P              S




                             D
    Firm
              Q     Market       Q
Profit Maximizing in Short Run
P             P              S



              p*




                             D
    Firm
              Q     Market       Q
Profit Maximizing in Short Run
P               P             S


           MR
                p*




                              D
    Firm
                Q    Market       Q
Profit Maximizing in Short Run
P          MC   P             S


           MR
                p*




                              D
    Firm
                Q    Market       Q
Profit Maximizing in Short Run
P          MC    P             S


           MR
                 p*

           ATC



                               D
    Firm
                 Q    Market       Q
Profit Maximizing in Short Run
P             MC    P            S


              MR
                 p*
               ATC
              AVC


                                 D
    Firm Q*
                   Q    Market       Q
Profit Maximizing in Short Run
P             MC    P            S


              MR
                 p*
               ATC
              AVC


                                 D
    Firm Q*
                   Q    Market       Q
Profit Maximizing in Short Run
P                  MC    P            S


                   MR
                      p*
    Profit          ATC
                   AVC


                                      D
         Firm Q*
                        Q    Market       Q
Profit Maximizing in Short Run


• It is also possible that the market price is so
  low (of the ATC is so hight) that the firm
  will lose money
Profit Maximizing in Short Run
           (Losses)
P                    MC    P                     S



                      ATC
    Loss             AVC
                           p*
                      MR
                                         D
           Firm Q*
                          Q     Market       Q
The Long Run
• Recall that the long run is defined as the
  time it takes for fixed costs to change.In
  other words - all costs are variable. The
  ATC curve equals the AVC curve
• Also recall that Perfect Competition
  assumes that there is costless and entry and
  exit. In other words people can start up
  firms or shut down firms without any cost
  whatsoever
Perfect Comp. in the Long Run
• If there are profits being made in an
  industry, firms will enter.
• If there are losses in an industry, firms will
  leave
• But what happens to the market when
  things like this happen?
• Consider the previous example where the
  firm was making profits in the short run
Profit Maximizing in Short Run
P                  MC   P            S


                   MR
                      p*
    Profit          ATC




                                     D
         Firm Q*
                        Q   Market       Q
Profit Maximizing in Long Run
• Firms see this profit and enter the industry
• More firms in an industry means market
  supply increases
• This drive price down and profits down
• Firms continue to enter until the price is
  driven down so low that profits are zero.
  Then no more firms want to enter and there
  is a long run equilbrium
Profit Maximizing in Long Run
P                   MC    P            SS


                    MR
                       p*
                     ATC

                     MR

                                       D
        Firm Q*Q*
                         Q    Market       Q
Profit Maximizing in Long Run
• Note that price is driven down to the bottom
  of the ATC curve
• In the long run, since profits MUST be zero,
  MR (price) will have to cross the MC curve
  where it intersects the ATC curve.
Losses in the Long Run
• But what if there are losses in the long run?
• If there are any losses in the long run, firms
  will want to leave the industry
• When firms leave, market supply decreases
• This drives up price and drives down losses
• Firms leave as long as there are losses.
  Once profits hit zero, firms stop leaving.
• Consider the example from earlier...
Losses in the Long Run
P             MC    P             S       S



               ATC
               MR
                    p*
               MR
                                  D
    Firm Q*
                   Q     Market       Q
In the Long Run...

• In the Long Run in a perfectly competitive
  market...
  – there are ALWAYS zero profits
  – P=MC=ATC
  – The firm produces at the lowest possible cost
Long Run Supply
• Let’s say that we have been discussing the
  PB&J market as perfectly competitive
• If there are profits being made, firms enter
  and drive profits down.
• But as firms enter the PBJ industry, what is
  happening to the jelly industry?
• Demand for jelly is rising and the price of
  jelly is rising
Long Run Supply
• If the price of jelly is rising, all of the cost
  curves in the PBJ industry will rise
• Which means the bottom of the ATC curve
  is rising
• Which, in turn, means that the zero profit
  price has gone up
Increasing Cost Industries
• Thus the PBJ indsutry is called an
  increasing cost industry, because as more
  firms enter the industry and the market
  quantity rises, the zero profit price rises
• We can draw a Long Run Supply Curve
  which demonstrates the relationship
  between the long run quantity supplied and
  the zero profit price
Increasing Cost Industries
• If the industry is an increasing cost
  industry, the long run supply curve will be
  upward sloping - indicating that as the long
  run quantity increases, the zero profit price
  increases
Constant Cost Industries
• But what if costs do not change as firms
  enter and leave the industry?
• Then the zero profit price will not change as
  quantity supplied in the long run changes.
• In this case the Long Run Supply Curve is
  flat
Decreasing Cost Industries
• What if more firm enter the industry and
  that allows Jelly Makers to take advantage
  of economies of scale and make jelly
  cheaper.
• Then as the long run quantity supplied
  increases, costs for the firms go down and
  thus the zero profit price is going down.
• This means the long run supply curve will
  be downward sloping
Long Run Supply Curves
$
              S (increasing cost)




                          S (constant cost)



                          S (decreasing cost)


                                        Q
The Benefits of Perfect
            Competition
• Recall in the beginning of the semester we
  discussed Productive Efficiency - producing
  as much as possible with a given amount of
  recources.
• In order to do that the firm must produce at
  its lowest cost point. Any higher cost per
  unit will not allow the firm to make as much
  with the same resources
Productive Efficiency
• Therefore, a perfectly competitive market,
  in the long run, will always be productively
  efficient
• This is because, in the long run, a perfectly
  competitive firm always produces at the
  bottom of the ATC curve
Allocative Efficiency
• We will now introduce another type of
  efficiency - Allocative Efficiency
• Allocative Efficiency asks the question -
  “Are we making sure everyone who is
  willing to buy the good has got together
  with everyone who is willing to sell them
  the good?”
Allocative Efficiency
• In the context of perfect competition, we are
  asking if, given the quantity produced is the
  amount people are willing to pay (the
  demand curve) equal to the amount people
  are willing to sell for (the MC curve)?
• The answer is yes, so a perfectly
  competitive market is allocatively efficient
  as well.
Allocative Efficiency
• Note that at any quantity less than the
  equilibrium Q*, the amount people are
  willing to pay is more than the MC,
  meaning that it will cost firms less to make
  one more than people are willling to pay.
• If the market produces less than Q*, it is
  then inefficient, since the firm could sell
  one for more than cost and someone would
  buy it. Both parties win.
A Note on Efficiency and Perfect
         Competition
• Note that a perfectly competitive market in
  the long run is both allocative and
  productively efficient
• That is to say, the market makes as much as
  it possibly could and makes sure everyone
  who is willing to buy a good gets together
  with everyone who is selling.
• This is done without any government
  interference. Why do we need a govt?

Pure competition

  • 1.
  • 2.
    Outline I. Introduction II. PerfectCompetition in the Short-Run A. Demand B. Supply C. Profit Maximization
  • 3.
    Introduction • Characteristics ofPerfect Competition • Large number of buyers and sellers. • Firms sell identical product. • No barriers to entry or exit. • Buyers and sellers have perfect information • Perfect Comp. is our "Benchmark" Model – meaning it is not very realistic, but will be used to compare with more realistic models
  • 4.
    Firm's Demand Curve •Consumer Price Taking • Take market price as given and purchase according to their demand curve. • Firms • Because a firm makes the same thing as so many other firms, if an individual firm changes their price, they will lose ALL of their business. So they have to sell the product at the market price. Note that they can sell as much as they want at that price
  • 5.
  • 6.
    Firm's Horizontal DemandCurve • At P > p*, Sales = 0 • At P < p*, Less Profits then if Sell at p* • p* found from Market Equilibrium Price
  • 7.
    Market Demand Curve •Downward Sloping • Obeys Law of Demand
  • 8.
    Marginal Revenue • MarginalRevenue is the increase in revenue from selling one more unit • If the firm gets price p* for every unit it sells, then p* is the marginal revenue at all quantities. • MR = ∆ in TR ∆ in Q • Horizontal Demand Curve means MR = P
  • 9.
    Profit Maximization • Weassume that the firm is profit maximizing. • Profit = Total Revenue - Total Cost • Total Revenue is P*Q. • We know what the Total Cost curve looks like, so let’s graph both
  • 10.
    Total Revenue andTotal Cost TR $ TC Q
  • 11.
    Profit Maximizing • Sincethe perfectly competitive firm cannot choose the price, the only choice left for the firm is to choose how much to produce. • The firm will choose the quantity where TR-TC is the largest, in other words - where the difference between the TR and TC curves is the biggest
  • 12.
    Total Revenue andTotal Cost TR $ TC Q* Q
  • 13.
    Profit Maximizing • Notethat the slope of the TR and TC curves are the same at this quantity. • This means the the derivative of TR is the same as the derivative of TC at Q*. • There is a way we can find Q* without calculus, though. • We will need to graph the MR and MC curves
  • 14.
    Profit Max withoutCalculus $ MC MR Q1 Q2 Q3Q4 Q
  • 15.
    Profit Maximizing • Considerthe quantity Q1 in the previous graph • At that quantity MR>MC, meaning that the additional revenue from selling one more is greater than the cost of making one more. • This means the firm will make more profit by making one more, so they will • The same is true at Q2
  • 16.
    Profit Maximizing • Butat Q3, MR=MC, meaning that the firm will gewt exactly as much money from selling one more as it cost them to make one more. • So the firm has no interest in making one more
  • 17.
    Profit Maximizing • Andat Q4, MR<MC, meaning that it costs more to make one more than it will bring in when it is sold. This means the firm will lose money. • So the firm would want to decrease production to bring MC down
  • 18.
    The Golden Rule •A profit maximizing firm will always produce where MC=MR. • In the case of Perfect Competition, we know MR=P, so we could also say that a profit maximizing firm produces where P=MC.
  • 19.
    Firm’s Supply Curve •In other words, given a price, the firm looks to the MC curve and produces that quantity. This is a supply curve. The Perfectly Competitive firm’s MC curve (the upward sloping portion of it, at least) is its Supply Curve
  • 20.
    Profit • We canalso determine exactly how much profit the firm is making. • We know profit = total revenue - total cost • Since ATC=TC/Q, we know ATC*Q=Total Cost • We also knoe that total revenue = price*Q • So Profit=(p*Q)-(ATC*Q)=(p-ATC)*Q, or graphically...
  • 21.
    Profit p MC ATC p* MR AVC atc Q* Q
  • 22.
    Profit p MC ATC p* MR The Area of this AVC Rectangle is the Profit atc Q* Q
  • 23.
    Loss • Note thatas long as p>ATC at q*, there will be a profit. • But it may be possible that no matter how much is produced, the firm will still lose money • In this case the Q* is the quantity where the firm loses the least amount of money • For example...
  • 24.
    Loss p MC ATC AVC atc p* MR Q* Q
  • 25.
    Loss p MC ATC AVC atc The area is the loss p* MR Q* Q
  • 26.
    The decision ofwhether to stay open • Just because a firm is losing money in the short run doesn’t mean it should close its doors. Often we hear of major firms like IBM posting a loss, but they stay open • When does a firm shut down? • Break Even Point - P = ATC • Firm is earning normal profits.
  • 27.
    The decision ofwhether to stay open • If AVC<P*<ATC, then the firm is losing money, BUT they are getting enough revenue to pay all of the variable cost and some of the fixed cost. If they shut down, they will have to pay all of the fixed cost with no revenue. So they are better off staying open and being able to pay some of the fixed costs than shutting down and not being able to pay ALL of the fixed cost.
  • 28.
    The Shut DownPoint • Shut-down Point - P = min AVC • Firm is indifferent between staying in business and going out of business. • Firm Supply Curve • MC curve at or above the Shut-down Point
  • 29.
    Market Supply • Sumof Individual Firm's Supply Curves • Upward Sloping - Obeys Law of Supply
  • 30.
    Profit Maximizing inthe Short Run • In the short run, the firm takes the market price, given by the intersection of the market supply and demand curves. • The firm then produces where MC=MR and takes a profit or loss as long as P>AVC
  • 31.
    Profit Maximizing inShort Run P P S D Firm Q Market Q
  • 32.
    Profit Maximizing inShort Run P P S p* D Firm Q Market Q
  • 33.
    Profit Maximizing inShort Run P P S MR p* D Firm Q Market Q
  • 34.
    Profit Maximizing inShort Run P MC P S MR p* D Firm Q Market Q
  • 35.
    Profit Maximizing inShort Run P MC P S MR p* ATC D Firm Q Market Q
  • 36.
    Profit Maximizing inShort Run P MC P S MR p* ATC AVC D Firm Q* Q Market Q
  • 37.
    Profit Maximizing inShort Run P MC P S MR p* ATC AVC D Firm Q* Q Market Q
  • 38.
    Profit Maximizing inShort Run P MC P S MR p* Profit ATC AVC D Firm Q* Q Market Q
  • 39.
    Profit Maximizing inShort Run • It is also possible that the market price is so low (of the ATC is so hight) that the firm will lose money
  • 40.
    Profit Maximizing inShort Run (Losses) P MC P S ATC Loss AVC p* MR D Firm Q* Q Market Q
  • 41.
    The Long Run •Recall that the long run is defined as the time it takes for fixed costs to change.In other words - all costs are variable. The ATC curve equals the AVC curve • Also recall that Perfect Competition assumes that there is costless and entry and exit. In other words people can start up firms or shut down firms without any cost whatsoever
  • 42.
    Perfect Comp. inthe Long Run • If there are profits being made in an industry, firms will enter. • If there are losses in an industry, firms will leave • But what happens to the market when things like this happen? • Consider the previous example where the firm was making profits in the short run
  • 43.
    Profit Maximizing inShort Run P MC P S MR p* Profit ATC D Firm Q* Q Market Q
  • 44.
    Profit Maximizing inLong Run • Firms see this profit and enter the industry • More firms in an industry means market supply increases • This drive price down and profits down • Firms continue to enter until the price is driven down so low that profits are zero. Then no more firms want to enter and there is a long run equilbrium
  • 45.
    Profit Maximizing inLong Run P MC P SS MR p* ATC MR D Firm Q*Q* Q Market Q
  • 46.
    Profit Maximizing inLong Run • Note that price is driven down to the bottom of the ATC curve • In the long run, since profits MUST be zero, MR (price) will have to cross the MC curve where it intersects the ATC curve.
  • 47.
    Losses in theLong Run • But what if there are losses in the long run? • If there are any losses in the long run, firms will want to leave the industry • When firms leave, market supply decreases • This drives up price and drives down losses • Firms leave as long as there are losses. Once profits hit zero, firms stop leaving. • Consider the example from earlier...
  • 48.
    Losses in theLong Run P MC P S S ATC MR p* MR D Firm Q* Q Market Q
  • 49.
    In the LongRun... • In the Long Run in a perfectly competitive market... – there are ALWAYS zero profits – P=MC=ATC – The firm produces at the lowest possible cost
  • 50.
    Long Run Supply •Let’s say that we have been discussing the PB&J market as perfectly competitive • If there are profits being made, firms enter and drive profits down. • But as firms enter the PBJ industry, what is happening to the jelly industry? • Demand for jelly is rising and the price of jelly is rising
  • 51.
    Long Run Supply •If the price of jelly is rising, all of the cost curves in the PBJ industry will rise • Which means the bottom of the ATC curve is rising • Which, in turn, means that the zero profit price has gone up
  • 52.
    Increasing Cost Industries •Thus the PBJ indsutry is called an increasing cost industry, because as more firms enter the industry and the market quantity rises, the zero profit price rises • We can draw a Long Run Supply Curve which demonstrates the relationship between the long run quantity supplied and the zero profit price
  • 53.
    Increasing Cost Industries •If the industry is an increasing cost industry, the long run supply curve will be upward sloping - indicating that as the long run quantity increases, the zero profit price increases
  • 54.
    Constant Cost Industries •But what if costs do not change as firms enter and leave the industry? • Then the zero profit price will not change as quantity supplied in the long run changes. • In this case the Long Run Supply Curve is flat
  • 55.
    Decreasing Cost Industries •What if more firm enter the industry and that allows Jelly Makers to take advantage of economies of scale and make jelly cheaper. • Then as the long run quantity supplied increases, costs for the firms go down and thus the zero profit price is going down. • This means the long run supply curve will be downward sloping
  • 56.
    Long Run SupplyCurves $ S (increasing cost) S (constant cost) S (decreasing cost) Q
  • 57.
    The Benefits ofPerfect Competition • Recall in the beginning of the semester we discussed Productive Efficiency - producing as much as possible with a given amount of recources. • In order to do that the firm must produce at its lowest cost point. Any higher cost per unit will not allow the firm to make as much with the same resources
  • 58.
    Productive Efficiency • Therefore,a perfectly competitive market, in the long run, will always be productively efficient • This is because, in the long run, a perfectly competitive firm always produces at the bottom of the ATC curve
  • 59.
    Allocative Efficiency • Wewill now introduce another type of efficiency - Allocative Efficiency • Allocative Efficiency asks the question - “Are we making sure everyone who is willing to buy the good has got together with everyone who is willing to sell them the good?”
  • 60.
    Allocative Efficiency • Inthe context of perfect competition, we are asking if, given the quantity produced is the amount people are willing to pay (the demand curve) equal to the amount people are willing to sell for (the MC curve)? • The answer is yes, so a perfectly competitive market is allocatively efficient as well.
  • 61.
    Allocative Efficiency • Notethat at any quantity less than the equilibrium Q*, the amount people are willing to pay is more than the MC, meaning that it will cost firms less to make one more than people are willling to pay. • If the market produces less than Q*, it is then inefficient, since the firm could sell one for more than cost and someone would buy it. Both parties win.
  • 62.
    A Note onEfficiency and Perfect Competition • Note that a perfectly competitive market in the long run is both allocative and productively efficient • That is to say, the market makes as much as it possibly could and makes sure everyone who is willing to buy a good gets together with everyone who is selling. • This is done without any government interference. Why do we need a govt?

Editor's Notes