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Microeconomics guide, Unit 6, step 23 of 28Previous stepNext step

Step 23: Public Goods and Common Resources

SyllabusAP Micro 6.3 · Cambridge 1.6 · IB 2.8–2.9
In 30 seconds
  • Goods are classified by two questions: can non-payers be excluded, and does one person’s use reduce what is left for others (rivalry)? The answers give four types of good: private, public, common resource and club.
  • Public goods are non-excludable and non-rivalrous. The free-rider problem means markets provide too little of them or none at all, so governments fund them through taxes.
  • The efficient amount of a public good is where the vertical sum of everyone’s willingness to pay equals marginal cost: \( \sum MB_i = MC \).
  • Common resources are non-excludable but rivalrous, so they get overused: the tragedy of the commons. The fixes are regulation, property rights (such as ITQs) and community management (Ostrom).
Video lesson coming soonA short animated lesson for this step will appear here.

Two questions that sort every good

A café sandwich, the streetlight outside your house, fish in a nearby lake and your Netflix account behave very differently. Two questions explain why.

Question 1: can people who don’t pay be kept out? The café will not give you a sandwich unless you pay. But nobody can stop you walking under a streetlight.

Question 2: does one person’s use leave less for everyone else? If you eat the sandwich, nobody else can. But your walking under the streetlight does not make it any dimmer for your neighbour.

Key termExcludability: whether people who do not pay can be prevented from using a good. A cinema seat is excludable; national defence is not.
Key termRivalry: whether one person’s use reduces how much is left for others. A sandwich is rivalrous; a TV broadcast is not.

Put the two questions together and you get four categories:

RivalrousNon-rivalrous
ExcludablePrivate goods: food, clothes, cars. Markets work well.Club goods: toll roads, gyms, streaming services. Can be sold privately.
Non-excludableCommon resources: ocean fish, public parks, groundwater. Overused.Public goods: national defence, street lighting, flood barriers. Under-provided.

Club goods can be provided privately, but they may be underused: one more user costs almost nothing, so any price above zero keeps out some people who would benefit.

Exam tipWhen asked to classify a good, answer both questions out loud: “It is (non-)excludable because… and (non-)rivalrous because… so it is a…”. Examiners give marks for the reasoning, not just the label.

Public goods and the free-rider problem

Imagine your street wants a new streetlight. A neighbour knocks on doors asking for contributions. You think: “If the others pay, the light goes up and I get it free. If they don’t, my money alone won’t be enough.” Either way, keeping your money looks smart. If everyone thinks this way, the light never gets built, even though everybody wants it.

This is the free-rider problem. Because a public good is non-excludable, people can enjoy it without paying, so few pay voluntarily. A private firm cannot make money from it, so the market provides too little or nothing at all. That is why national defence, police, courts and flood barriers are provided by governments and paid for with compulsory taxes.

Key termPublic good: a good that is non-excludable and non-rivalrous. Private markets cannot provide it efficiently because of the free-rider problem.
Key termFree-rider problem: the incentive to enjoy the benefits of a good without paying towards its cost.

A public firework display is another example: anyone nearby can watch, and one more viewer spoils nothing, so big displays are usually publicly funded or sponsored.

Common mistakeDefining a public good as “a good provided by the government”. Government provision is a consequence, not the definition. Governments also provide some private goods, such as postal services. Always define a public good using non-excludable and non-rivalrous.

How much of a public good is efficient?

For an ordinary private good, you find market demand by adding up quantities at each price (horizontal summing), because each person buys their own amount. With a public good, everyone consumes the same quantity at the same time: the whole town shares one park. So the value of one more unit is the sum of what everyone is willing to pay for it. You add demand curves vertically.

\[ MSB = MB_A + MB_B + \dots \qquad \text{Efficient quantity: } MSB = MC \]
Worked example

Two neighbours share a park. Asha’s demand for park quality is \( P = 10 – Q \) and Ben’s is \( P = 6 – Q \). Each unit of quality costs $4 to maintain. Find the efficient quantity, and what happens if only Asha pays.

Step 1Vertical sum: \( P = (10 – Q) + (6 – Q) = 16 – 2Q \)
Step 2Set equal to MC: \( 16 – 2Q = 4 \Rightarrow 2Q = 12 \Rightarrow Q^* = 6 \)
Step 3Asha alone: \( 10 – Q = 4 \Rightarrow Q = 3 \), only half the efficient amount

The park should have 6 units of quality. If Asha pays and Ben free-rides, she buys only 3, because she counts her own benefit and ignores Ben’s. The public good is under-provided.

Exam tipPrivate goods: sum demand horizontally (add quantities at each price). Public goods: sum demand vertically (add willingness to pay at each quantity). Examiners test this distinction often, so say why: with a non-rivalrous good, everyone consumes the same quantity.

Common resources and the tragedy of the commons

Common resources have the opposite problem from public goods. Instead of too little, we get too much use. They are rivalrous (every fish caught is one fewer for others) but non-excludable (nobody can be stopped from fishing).

Key termTragedy of the commons: the overuse of a shared, unowned resource, because each user gets the full benefit of using it but bears only a small share of the cost. The phrase comes from Garrett Hardin (1968).

Hardin described a shared pasture. A herder who adds a cow keeps all the extra milk and meat, but the overgrazing damage is shared, so every herder keeps adding cows until the pasture is ruined.

You can see the same pattern in overfishing, deforestation, groundwater being pumped faster than it refills, traffic congestion (each driver slows everyone else down) and climate change, where the atmosphere is the shared resource.

The collapse of Atlantic cod off Newfoundland, Canada, is the textbook case. For centuries the fishery was one of the richest in the world, but industrial trawlers from many countries overfished it. By 1992, stocks had fallen to about 1% of their historical level. Canada banned cod fishing, closing a $500 million industry and putting 40,000 people out of work. More than 30 years later, the stocks have only partly recovered.

Worked example

A lake has 100 fishers. It can sustainably supply 500 fish a day, but 800 are being caught. The government sets a quota of 5 fish per fisher per day. Is this enough?

Step 1Overfishing now: \( 800 – 500 = 300 \) fish a day too many
Step 2Catch under the quota: \( 100 \times 5 = 500 \) fish a day
Step 3\( 500 = 500 \): the catch now matches the sustainable yield

The quota cuts the catch by 300 fish a day and brings it down to a level the lake can sustain, as long as it is enforced.

Three ways to stop the tragedy

  1. Government regulation. Laws limit use: fishing quotas, logging permits, hunting seasons, congestion charges. London’s congestion charge (introduced in 2003) cut traffic in central London by about 30%. Charging for road space turns it into something closer to an excludable good.
  2. Property rights. If someone owns the resource, they have a reason to look after it. Iceland gives fishing firms Individual Transferable Quotas (ITQs): tradable shares of the total allowed catch. Fish stocks have recovered significantly since the system began in the 1980s. This is the Coase approach from Step 16 applied to a common resource.
  3. Community management. Elinor Ostrom (Nobel Prize 2009) showed that local communities can manage commons well without either privatisation or top-down rules. Examples include irrigation in Nepal, lobster fishing in Maine and forests in Japan. Success needs clear boundaries, rules that fit local conditions, shared decision-making, monitoring, sanctions that increase step by step for rule-breakers, and easy ways to settle disputes.
Worked example

The lake switches to ITQs: each of the 100 fishers gets permits for 5 fish a day, and permits can be traded. 20 fishers can catch fish at $2 each; the other 80 at $5 each. Fish sell for $8. What happens?

Step 1Profit per fish: low-cost \( 8 – 2 = \$6 \); high-cost \( 8 – 5 = \$3 \)
Step 2A permit is worth up to $6 to a low-cost fisher but only $3 to a high-cost one, so the permit price settles between $3 and $6
Step 3High-cost fishers sell permits; low-cost fishers buy them. The total catch stays at \( 100 \times 5 = 500 \).

The lake is still fished sustainably, but the fish are now caught by the cheapest fishers, so the same catch costs less in total.

Practise: 6 questions

Try each one on paper first, then check the worked answer.

EasyQ1. Classify each good and explain: (a) a toll road; (b) national defence; (c) a public beach; (d) a Netflix subscription. Show worked answer
(a) Toll road: excludable (you must pay) and non-rivalrous up to capacity. Club good.
(b) National defence: non-excludable and non-rivalrous. Public good.
(c) Public beach: non-excludable (open access) and rivalrous (it gets crowded). Common resource.
(d) Netflix: excludable (subscription needed) and non-rivalrous (your streaming does not stop mine). Club good.
EasyQ2. Explain the free-rider problem using street lighting as your example. Show worked answer
Street lighting is non-excludable: once it is up, everyone on the street benefits, whether they paid or not.
So each person has an incentive to let others pay and enjoy the light for free. If everyone does this, too little money is raised and the lights are not provided. Government funds them through compulsory taxes instead.
MediumQ3. Three residents value a flood barrier. Their marginal benefits are \( MB_1 = 12 – Q \), \( MB_2 = 8 – Q \) and \( MB_3 = 4 – Q \), for \( Q \le 4 \). The marginal cost is $15. Find the efficient quantity. Show worked answer
Vertical sum: \( MSB = (12 – Q) + (8 – Q) + (4 – Q) = 24 – 3Q \).
Set \( MSB = MC \): \( 24 – 3Q = 15 \Rightarrow 3Q = 9 \Rightarrow Q^* = 3 \).
Check that all three still value the barrier at \( Q = 3 \): \( 9 + 5 + 1 = 15 \). ✓
MediumQ4. Explain why ocean fish stocks are overused, using the tragedy of the commons. Show worked answer
Ocean fish are non-excludable (no one can be stopped from fishing in international waters) but rivalrous (each fish caught leaves fewer for others).
Each fishing firm keeps the full revenue from every extra fish but shares the cost of a smaller stock with everyone else. Any fish it does not catch will be caught by a rival, so there is no reason to hold back.
Every firm overfishes, and the stock can collapse, as Atlantic cod did by 1992.
MediumQ5. Give one advantage and one disadvantage of using property rights (such as ITQs) to manage a fishery. Show worked answer
Advantage: quota owners gain if the stock stays healthy (their quota is worth more), so they have an incentive to conserve. Trading also lets the lowest-cost fishers catch the fish.
Disadvantage: the first share-out of quotas may be unfair, and some resources, such as the open ocean or the atmosphere, are very hard to divide into private property.
ExamQ6. Explain why national defence cannot be provided efficiently by a private market. [5 marks] Show worked answer
National defence is non-excludable: once the country is defended, every citizen is protected, whether or not they paid. [1] It is also non-rivalrous: protecting one citizen does not reduce the protection for others. [1]
This creates a free-rider problem: each citizen has an incentive not to pay and to rely on others. [1]
A private firm could not charge non-payers or exclude them, so its revenue would be close to zero and it would not supply the good. [1]
So the government provides defence, paid for through compulsory taxation, which removes the option to free-ride. [1]

Check yourself

1. A public good is:

Both properties are needed; government provision is a result, not the definition.

2. The efficient quantity of a public good is found by:

Everyone consumes the same amount, so you add their willingness to pay at each quantity.

3. Elinor Ostrom showed that common resources can be managed by:

Her research found that self-governing communities can avoid the tragedy without privatisation or top-down rules.

Your score: 0 out of 3

The short version

  • Two questions, about excludability and rivalry, sort goods into private goods, public goods, common resources and club goods.
  • Public goods suffer from free-riding, so markets under-provide them; governments fund them through taxes.
  • For public goods, sum individual demand curves vertically and set \( MSB = MC \) to find the efficient quantity.
  • Common resources are overused (the tragedy of the commons), as the Atlantic cod collapse showed.
  • Fixes for the commons are regulation, property rights (ITQs) and community management (Ostrom), ideally before the damage is done. The full chapter in Economics Made Simple has 15 exam-style questions with complete answers.
Want more questions like these, with worked answers?
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Next: step 24 of 28Government Policy and Market Structures