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:

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
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:
Examples: toothpicks, domain name registration, waitstaff






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


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


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 \(\color{#047806}{\pi=0}\)


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:
Examples: oil, mining, particle physics






Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)
Exogenous increase in market demand


Short run \((A \rightarrow B)\): industry reaches new equilibrium
Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)


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


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 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:
Examples: geographic clusters, public utilities, infrastructure, entertainment
Tends towards "natural" monopoly






Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)
Exogenous increase in market demand


Short run \((A \rightarrow B)\): industry reaches new equilibrium
Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)


Long run: profit attracts entry \(\implies\) industry supply will increase
But more production lowers costs \((MC, AC)\) for all firms in industry


Long run \((B \rightarrow C)\): firms enter until \(\pi=0\) at \(p=AC(q)\)
Firms charge higher \(p^*\), producer lower \(q^*\), earn \(\pi=0\)





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

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

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

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

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

$$\epsilon_{q_S,p} = \frac{\% \Delta q_S}{\% \Delta p}$$
| “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
An identical 100% price increase on an:
“Inelastic” Supply Curve

“Elastic” Supply Curve

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

Example: The supply of bicycle rentals in a small town is given by:
$$q_S=10p-200$$
Find the inverse supply function.
What is the price elasticity of supply at a price of $25.00?
What is the price elasticity of supply at a price of $50.00?

$$\epsilon_{q,p} = \mathbf{\frac{1}{slope} \times \frac{p}{q}}$$
Elasticity \(\neq\) slope (but they are related)!
Elasticity changes along the supply curve
Often gets less elastic as \(\uparrow\) price \((\uparrow\) quantity)
What determines how responsive your selling behavior is to a price change?
The faster (slower) costs increase with output \(\implies\) less (more) elastic supply
Smaller (larger) share of market for inputs \(\implies\) more (less) elastic

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

A report by @PIIE found an N-95 respirator mask still faces a 7% U.S. tariff.
— Chad P. Bown (@ChadBown) April 21, 2020
Remaining US duties include
• 5% on hand sanitizer
• 4.5% on protective medical clothing
• 2.5% on goggles
• 6.4-8.3% on other medical headwear
By @ABehsudi 1/https://t.co/LcxE0FFlXO

Source: Washington Post (Oct 2, 2021): “Inside America’s Broken Supply Chain”
Yesterday I rented a boat and took the leader of one of Flexport's partners in Long Beach on a 3 hour of the port complex. Here's a thread about what I learned.
— Ryan Petersen (@typesfast) October 22, 2021

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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:

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
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:
Examples: toothpicks, domain name registration, waitstaff






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


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


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 \(\color{#047806}{\pi=0}\)


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:
Examples: oil, mining, particle physics






Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)
Exogenous increase in market demand


Short run \((A \rightarrow B)\): industry reaches new equilibrium
Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)


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


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 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:
Examples: geographic clusters, public utilities, infrastructure, entertainment
Tends towards "natural" monopoly






Industry equilibrium: firms earning normal \(\pi=0, p=MC(q)=AC(q)\)
Exogenous increase in market demand


Short run \((A \rightarrow B)\): industry reaches new equilibrium
Firms charge higher \(p^*\), produce more \(q^*\), earn \(\pi\)


Long run: profit attracts entry \(\implies\) industry supply will increase
But more production lowers costs \((MC, AC)\) for all firms in industry


Long run \((B \rightarrow C)\): firms enter until \(\pi=0\) at \(p=AC(q)\)
Firms charge higher \(p^*\), producer lower \(q^*\), earn \(\pi=0\)





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

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

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

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

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

$$\epsilon_{q_S,p} = \frac{\% \Delta q_S}{\% \Delta p}$$
| “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
An identical 100% price increase on an:
“Inelastic” Supply Curve

“Elastic” Supply Curve

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

Example: The supply of bicycle rentals in a small town is given by:
$$q_S=10p-200$$
Find the inverse supply function.
What is the price elasticity of supply at a price of $25.00?
What is the price elasticity of supply at a price of $50.00?

$$\epsilon_{q,p} = \mathbf{\frac{1}{slope} \times \frac{p}{q}}$$
Elasticity \(\neq\) slope (but they are related)!
Elasticity changes along the supply curve
Often gets less elastic as \(\uparrow\) price \((\uparrow\) quantity)
What determines how responsive your selling behavior is to a price change?
The faster (slower) costs increase with output \(\implies\) less (more) elastic supply
Smaller (larger) share of market for inputs \(\implies\) more (less) elastic

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

A report by @PIIE found an N-95 respirator mask still faces a 7% U.S. tariff.
— Chad P. Bown (@ChadBown) April 21, 2020
Remaining US duties include
• 5% on hand sanitizer
• 4.5% on protective medical clothing
• 2.5% on goggles
• 6.4-8.3% on other medical headwear
By @ABehsudi 1/https://t.co/LcxE0FFlXO

Source: Washington Post (Oct 2, 2021): “Inside America’s Broken Supply Chain”
Yesterday I rented a boat and took the leader of one of Flexport's partners in Long Beach on a 3 hour of the port complex. Here's a thread about what I learned.
— Ryan Petersen (@typesfast) October 22, 2021
