+ - 0:00:00
Notes for current slide
Notes for next slide

2.7 — External Economies & Industry Supply

ECON 306 • Microeconomic Analysis • Spring 2022

Ryan Safner
Assistant Professor of Economics
safner@hood.edu
ryansafner/microS22
microS22.classes.ryansafner.com

Entry Effects & External Economies

Entry/Exit Effects on Market Price

  • When all firms produce more/less; or firms enter or exit an industry, this affects the equilibrium market price

  • Think about basic supply & demand graphs:

    • Entry: \(\color{red}{\uparrow}\) industry supply \(\implies\) \(\uparrow q, \downarrow p\)
    • Exit: \(\color{red}{\downarrow}\) industry supply \(\implies\) \(\downarrow q, \uparrow p\)

External Economies

  • How large this change in price will be from entry/exit depends on industry-wide costs and external economies

  • Economies of scale are internal to the firm (a firm's own average cost curve)

  • External economies have to do with how the size of the entire industry affects all individual firm's costs

    • These are externalities that spill over across all firms in an industry

Constant Cost Industry (No External Economies) I

  • Constant cost industry has no external economies, no change in costs as industry output increases (firms enter & incumbents produce more)

  • A perfectly elastic long-run industry supply curve

  • Determinants:

    • Industry's purchases are not a large share of input markets
    • Often constant marginal costs, insignificant fixed costs
  • Examples: toothpicks, domain name registration, waitstaff

Constant Cost Industry (No External Economies) II

  • Industry equilibrium: firms earning normal \(\color{#047806}{\pi=0}, \color{blue}{p}=\color{red}{MC(q)}=\color{orange}{AC(q)}\) at points a, A

Constant Cost Industry (No External Economies) III

  • Industry equilibrium: firms earning normal \(\color{#047806}{\pi=0}, \color{blue}{p}=\color{red}{MC(q)}=\color{orange}{AC(q)}\) at points a, A

  • Consider an increase in market demand

Constant Cost Industry (No External Economies) IV

  • Short run \((A \rightarrow B)\): industry reaches new equilibrium at higher price

  • Firms charge higher price, produce more output, earn \(\color{#047806}{\pi}\) at point b

Constant Cost Industry (No External Economies) V

  • Long run \((B \rightarrow C)\): profit attracts entry \(\implies\) industry supply increases (pushing down price)

  • No change in costs to firms in industry, new firms continue to enter until \(\color{#047806}{\pi=0}\) at \(\color{blue}{p}=\color{orange}{AC(q)}\) for firms

  • Firms return to point a, original price, output, and \(\color{#047806}{\pi=0}\)

Constant Cost Industry (No External Economies) VI

  • Long Run Industry Supply is perfectly elastic
    • Long run price is not affected in any way by Market Demand!

Increasing Cost Industry (External Diseconomies) I

  • Increasing cost industry has external diseconomies, costs rise for all firms in the industry as industry output increases (firms enter & incumbents produce more)

  • An upward sloping long-run industry supply curve

  • Determinants:

    • Finding more resources in harder-to-reach places
    • Diminishing marginal products
    • Greater complexity and administrative costs at larger scales
  • Examples: oil, mining, particle physics

Increasing Cost Industry (External Diseconomies) II

  • Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)

Increasing Cost Industry (External Diseconomies) III

  • Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)

  • Exogenous increase in market demand

Increasing Cost Industry (External Diseconomies) IV

  • Short run \((A \rightarrow B)\): industry reaches new equilibrium

  • Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)

Increasing Cost Industry (External Diseconomies) V

  • Long run: profit attracts entry \(\implies\) industry supply will increase

  • But more industry-wide output increases costs (MC(q), AC(q)) for all firms in industry

Increasing Cost Industry (External Diseconomies) VI

  • Long run \((B \rightarrow C)\): firms enter until \(\pi=0\) at \(p=AC(q)\)

  • Firms charge higher \(p^*\), producer lower \(q^*\), earn \(\pi=0\)

Increasing Cost Industry (External Diseconomies) VII

  • Long run industry supply curve is upward sloping

Decreasing Cost Industry (External Economies) I

  • Decreasing cost industry has external economies, costs fall for all firms in the industry as industry output increases (firms enter & incumbents produce more)

  • A downward sloping long-run industry supply curve!

  • Determinants:

    • High fixed costs, low marginal costs
    • Economies of scale
  • Examples: geographic clusters, public utilities, infrastructure, entertainment

  • Tends towards "natural" monopoly

Decreasing Cost Industry (External Economies) II

  • Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)

Decreasing Cost Industry (External Economies) III

  • Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)

  • Exogenous increase in market demand

Decreasing Cost Industry (External Economies) IV

  • Short run \((A \rightarrow B)\): industry reaches new equilibrium

  • Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)

Decreasing Cost Industry (External Economies) V

  • Long run: profit attracts entry \(\implies\) industry supply will increase

  • But more production lowers costs \((MC, AC)\) for all firms in industry

Decreasing Cost Industry (External Economies) VI

  • Long run \((B \rightarrow C)\): firms enter until \(\pi=0\) at \(p=AC(q)\)

  • Firms charge higher \(p^*\), producer lower \(q^*\), earn \(\pi=0\)

Decreasing Cost Industry (External Economies) VII

  • Long run industry supply curve is downward sloping!

Comparing all Industry Types

  • Constant cost industry
  • No external economies
  • Increase in industry output has no effect on costs

  • Increasing cost industry
  • External diseconomies
  • Increase in industry output raises all firms’ costs

  • Decreasing cost industry
  • External economies
  • Increase in industry output lowers all firms’ costs

Supply Functions

Supply Function

  • Supply function relates quantity to price

Example: $$q=2p-4$$

  • Not graphable (wrong axes)!

Inverse Supply Function

  • Inverse supply function relates price to quantity
    • Take supply function, solve for \(p\)

Example: $$p=2+0.5q$$

  • Graphable (price on vertical axis)!

Inverse Supply Function

  • Inverse supply function relates price to quantity
    • Take supply function, solve for \(p\)

Example: $$p=2+0.5q$$

  • Graphable (price on vertical axis)!

Inverse Supply Function

Example: $$p=2+0.5q$$

  • Slope: 0.5

  • Vertical intercept called the "Choke price": price where \(q_S=0\) ($2), just low enough to discourage any sales

Inverse Supply Function

  • Read two ways:

  • Horizontally: at any given price, how many units firm wants to sell

  • Vertically: at any given quantity, the minimum willingness to accept (WTA) for that quantity

Price Elasiticity of Supply

Price Elasticity of Supply

  • Price elasticity of supply measures how much (in %) quantity supplied changes in response to a (1%) change in price

$$\epsilon_{q_S,p} = \frac{\% \Delta q_S}{\% \Delta p}$$

Price Elasticity of Supply: Elastic vs. Inelastic

$$\epsilon_{q_S,p} = \frac{\% \Delta q_S}{\% \Delta p}$$

“Elastic” “Unit Elastic” “Inelastic”
Intuitively: Large response Proportionate response Little response
Mathematically: \(\vert \epsilon_{q_s,p}\vert > 1\) \(\vert \epsilon_{q_s,p}\vert = 1\) \(\vert \epsilon_{q_s,p} \vert < 1\)
Numerator \(>\) Denominator Numerator \(=\) Denominator Numerator \(<\) Denominator
1% change in \(p\) causes More than 1% change in \(q_s\) Exactly 1% change in \(q_s\) Less than 1% change in \(q_s\)

Compare to price elasticity of demand

Visualizing Price Elasticity of Supply

An identical 100% price increase on an:

“Inelastic” Supply Curve

“Elastic” Supply Curve

Price Elasticity of Supply Formula

$$\color{red}{\epsilon_{q,p} = \mathbf{\frac{1}{slope} \times \frac{p}{q}}}$$

  • First term is the inverse of the slope of the inverse supply curve (that we graph)!

  • To find the elasticity at any point, we need 3 things:

    1. The price
    2. The associated quantity supplied
    3. The slope of the (inverse) supply curve

Example

Example: The supply of bicycle rentals in a small town is given by:

$$q_S=10p-200$$

  1. Find the inverse supply function.

  2. What is the price elasticity of supply at a price of $25.00?

  3. What is the price elasticity of supply at a price of $50.00?

Price Elasticity of Supply Changes Along the Curve

$$\epsilon_{q,p} = \mathbf{\frac{1}{slope} \times \frac{p}{q}}$$

  • Elasticity \(\neq\) slope (but they are related)!

  • Elasticity changes along the supply curve

  • Often gets less elastic as \(\uparrow\) price \((\uparrow\) quantity)

    • Harder to supply more

Determinants of Price Elasticity of Supply I

What determines how responsive your selling behavior is to a price change?

  • The faster (slower) costs increase with output \(\implies\) less (more) elastic supply

    • Mining for natural resources vs. automated manufacturing
  • Smaller (larger) share of market for inputs \(\implies\) more (less) elastic

    • Will your suppliers raise the price much if you buy more?
    • How much competition is there in your input markets?

Determinants of Price Elasticity of Supply II

What determines how responsive your selling behavior is to a price change?

  • More (less) time to adjust to price changes \(\implies\) more (less) elastic
    • Supply of oil today vs. oil in 10 years

Price Elasticity of Supply: Examples

Price Elasticity of Supply: Examples

Price Elasticity of Supply: Examples

“[T]he number of new building permits and housing starts has been lower than in the previous boom...if prices have gone up as much as before but quantity has not, it follows that the elasticity of supply has fallen.”

Price Elasticity of Supply: Examples

Source: Washington Post (Oct 2, 2021): “Inside America’s Broken Supply Chain”

Price Elasticity of Supply: Examples

Paused

Help

Keyboard shortcuts

, , Pg Up, k Go to previous slide
, , Pg Dn, Space, j Go to next slide
Home Go to first slide
End Go to last slide
Number + Return Go to specific slide
b / m / f Toggle blackout / mirrored / fullscreen mode
c Clone slideshow
p Toggle presenter mode
t Restart the presentation timer
?, h Toggle this help
oTile View: Overview of Slides
Esc Back to slideshow