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1.4: Perfect Competition: Long Run

ECON 326 · Industrial Organization · Spring 2020

Ryan Safner
Assistant Professor of Economics
safner@hood.edu
ryansafner/IOs20
IOs20.classes.ryansafner.com

Firm's Long Run Supply Decisions

Firm Decisions in the Long Run I

  • \(AC(q)_{min}\) at a market price of $6

  • At $6, the firm earns "normal economic profits"

  • At any market price below $6.00, firm earns losses

    • Short Run: firm shuts down if \(p<AVC(q)\)
  • At any market price above $6.00, firm earns "supernormal profits"

Firm Supply Decisions in the Short Run vs. Long Run

  • Short run: firms that shut down \((q^*=0)\) stuck in market, incur fixed costs \(\pi=-f\)

Firm Supply Decisions in the Short Run vs. Long Run

  • Short run: firms that shut down \((q^*=0)\) stuck in market, incur fixed costs \(\pi=-f\)

  • Long run: firms earning losses \((\pi < 0)\) can exit the market and earn \(\pi=0\)

    • No more fixed costs, firms can sell/abandon \(f\) at \(q^*=0\)

Firm Supply Decisions in the Short Run vs. Long Run

  • Short run: firms that shut down \((q^*=0)\) stuck in market, incur fixed costs \(\pi=-f\)

  • Long run: firms earning losses \((\pi < 0)\) can exit the market and earn \(\pi=0\)

    • No more fixed costs, firms can sell/abandon \(f\) at \(q^*=0\)
  • Entrepreneurs not currently in market can enter and produce, if entry would earn them \(\pi>0\)

Firm's Long Run Supply: Visualizing

When \(p<AVC\)

  • Profits are negative

  • Short run: shut down production

    • Firm loses more \(\pi\) by producing than by not producing
  • Long run: firms in industry exit the industry

    • No new firms will enter this industry

Firm's Long Run Supply: Visualizing

When \(AVC<p<AC\)

  • Profits are negative

  • Short run: continue production

    • Firm loses less \(\pi\) by producing than by not producing
  • Long run: firms in industry exit the industry

    • No new firms will enter this industry

Firm's Long Run Supply: Visualizing

When \(AC<p\)

  • Profits are positive

  • Short run: continue production

    • Firm earn profits
  • Long run: firms in industry stay in industry

    • New new firms will enter this industry

Market Entry and Exit

Exit, Entry, and Long Run Industry Equilibrium I

  • Now we must combine optimizing individual firms with market-wide adjustment to equilibrium

  • Since \(\pi = [p-AC(q)]q\), in the long run, profit-seeking firms will:

Exit, Entry, and Long Run Industry Equilibrium I

  • Now we must combine optimizing individual firms with market-wide adjustment to equilibrium

  • Since \(\pi = [p-AC(q)]q\), in the long run, profit-seeking firms will:

    • Enter markets where \(p>AC(q)\)

Exit, Entry, and Long Run Industry Equilibrium I

  • Now we must combine optimizing individual firms with market-wide adjustment to equilibrium

  • Since \(\pi = [p-AC(q)]q\), in the long run, profit-seeking firms will:

    • Enter markets where \(p>AC(q)\)
    • Exit markets where \(p<AC(q)\)

Exit, Entry, and Long Run Industry Equilibrium II

  • Long-run equilibrium: entry and exit ceases when \(p=AC(q)\) for all firms, implying normal economic profits of \(\pi=0\)

Exit, Entry, and Long Run Industry Equilibrium II

  • Long-run equilibrium: entry and exit ceases when \(p=AC(q)\) for all firms, implying normal economic profits of \(\pi=0\)

  • Zero Profits Theorem: long run economic profits for all firms in a competitive industry are 0

  • Firms must earn an accounting profit to stay in business

The Industry Supply Curve

  • Industry supply curve: sum of all individual firms' supply curves \((MC(q)\) curve above \(AVC_{min})\)

  • To keep it simple on the following slides:

    • assume no fixed costs, so \(AC(q)=AVC(q)\)
    • then industry supply curve is sum of individual \(MC(q)\) curves above \(AC(q)_{min}\)

Industry Supply Curves (Identical Firms)









Industry Supply Curves (Identical Firms)









  • Industry supply curve is the horizontal sum of all individual firm's supply curves
    • Which are each firm's marginal cost curve above its breakeven price

Industry Supply Curves (Identical Firms)









  • Industry demand curve (where equal to supply) sets market price, demand for firms

Industry Supply Curves (Identical Firms)









  • Short Run: each firm is earning profits \(p>AC(q)\)

  • Long run: induces entry by firm 3, firm 4, \(\cdots\), firm \(n\)

Industry Supply Curves (Identical Firms)









  • Short Run: each firm is earning profits \(p>AC(q)\)

  • Long run: induces entry by firm 3, firm 4, \(\cdots\), firm \(n\)

  • Long run industry equilibrium:

Industry Supply Curves (Identical Firms)









  • Short Run: each firm is earning profits \(p>AC(q)\)

  • Long run: induces entry by firm 3, firm 4, \(\cdots\), firm \(n\)

  • Long run industry equilibrium: \(p=AC(q)_{min}\), \(\pi=0\) at \(p=\) $6; supply becomes more elastic

Zero Profit Theorem & Economic Rents

Back to Zero Profits

  • Recall, we've defined a firm as a completely replicable recipe (production function) of resources

  • Anyone can enter market, buy required factors, and produce \(q^*\) at market price \(p\) and earn the market rate of \(\pi\)

  • Let's start considering some realistic differences between firms

Industry Supply Curves (Different Firms) I

  • Firms may have different costs due to differences in:
    • Managerial talent
    • Worker talent
    • Location
    • First-mover advantage
    • Technological secrets/IP
    • License/permit access
    • Political connections
    • Lobbying

Industry Supply Curves (Different Firms) II









Industry Supply Curves (Different Firms) II









  • Industry supply curve is the horizontal sum of all individual firm's supply curves
    • Which are each firm's marginal cost curve above its breakeven price

Industry Supply Curves (Different Firms) II









Industry Supply Curves (Different Firms) II









  • Industry demand curve (where equal to supply) sets market price, demand for firms

Industry Supply Curves (Different Firms) II









  • Industry demand curve (where equal to supply) sets market price, demand for firms
  • Long run industry equilibrium: \(p=AC(q)_{min}\), \(\pi=0\) for marginal (highest cost) firm (Firm 2)

Industry Supply Curves (Different Firms) II









  • Industry demand curve (where equal to supply) sets market price, demand for firms
  • Long run industry equilibrium: \(p=AC(q)_{min}\), \(\pi=0\) for marginal (highest cost) firm (Firm 2)
  • Firm 1 (lower cost) appears to be earning profits...

Economic Rents and Zero Economic Profits I

  • With differences between firms, long-run equilibrium \(p=AC(q)_{min}\) of the marginal (highest-cost) firm
    • If \(p>AC(q)\) for that firm, would induce more entry into industry!

Economic Rents and Zero Economic Profits I

  • "Inframarginal" (lower-cost) firms earn economic rents

    • returns higher than their opportunity cost (what is needed to bring them into this industry)
  • Economic rents arise from relative differences between firms

    • actually using different inputs!

Economic Rents and Zero Economic Profits III

  • Some factors are relatively scarce in the economy

    • (talent, location, secrets, IP, licenses, being first, political favoritism)
  • Inframarginal firms that use these scarce factors gain a cost-advantage

  • It would seem these firms earn profits as other firms have higher costs...

    • ...But what will happen to the prices for the scarce factors?

Economic Rents and Zero Economic Profits IV

  • Rival firms willing to pay for rent-generating factor to gain advantage

  • Competition over acquiring the scarce factors push up their prices

  • Rents are included in the opportunity cost (price) for inputs

    • Must pay a factor enough to keep it out of other uses

Economic Rents and Zero Economic Profits IV

  • Economic rents \(\neq\) profits!

    • Rents actually reduce profits!
  • Firm does not earn the rents, they raise firm's costs and squeeze out profits!

  • Scarce factor owners (workers, landowners, inventors, etc) earn the rents as higher income for their scarce services (wages, rents, interest, royalties, etc).

Recall: Accounting vs. Economic Point of View

  • Recall "economic" point of view:

  • Producing your product pulls scarce resources out of other productive uses in the economy

  • Profits attract resources to be pulled out of other uses

  • Losses repel resources to be pulled away to other uses

  • Zero profits \(\implies\) resources should stay where they are

    • Optimal use of resources!

Welfare Effects of Perfect Competition

Market-Clearing Prices

  • Supply and demand set the market-clearing price for all units exchanged (bought and sold)

Consumer Surplus I

  • Demand function measures how much you would hypothetically be willing to pay for various quantities

    • "reservation price"
  • You often actually pay (the market-clearing price, \(p^*)\) a lot less than your reservation price

  • The difference is consumer surplus

$$CS=WTP-p^*$$

Consumer Surplus II

$$\begin{align*} CS&=\frac{1}{2}bh\\ CS&=\frac{1}{2}(5-0)(\$10-\$5)\\ CS&=\$12.50\\ \end{align*}$$

Producer Surplus I

  • Supply function measures how much you would hypothetically be willing to accept to sell various quantities

    • "reservation price"
  • You often actually receive (the market-clearing price, \(p^*)\) a lot more than your reservation price

  • The difference is producer surplus

$$PS=p^*-WTA$$

Market Efficiency in Competitive Equilibrium I

  • Allocative efficiency: resources are allocated to highest-valued uses

    • Goods produced up to the point where \(MB=MC\) \((p=MC)\)
  • All potential gains from trade are fully exhausted

Market Efficiency in Competitive Equilibrium II

  • Economic surplus = Consumer surplus + Producer surplus

  • Maximized in competitive equilibrium

  • Resources flow away from those who value them the lowest to those that value them the highest

  • The social value of resources is maximized by allocating them to their highest valued uses!

Firm's Long Run Supply Decisions

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