MathemagiciansLibraryExplorationsDeep Dives
← Economics · Upper Secondary
EconomicsUpper Secondary

Asymmetric information — when one side knows more

EU2.2 — Market Failure › EU2.2.3 — Information FailureLecture 1 of 2~2730 words

Two cars that look the same

Amara wants to buy a used car. Two cars of the same model and the same year stand side by side. Both are clean. Both start first time. Both sellers ask the same price.

One of the cars has been looked after carefully. The other has a gearbox that will fail within a few months. The seller of that car knows it. Amara does not, and she cannot find out by looking.

So what should Amara pay? If she pays a good car's price, she may be buying the bad one. If she offers less, the owner of the good car will refuse. The theory of markets you have built so far assumes that buyers and sellers both know what is being traded. Here that assumption breaks. One side knows much more than the other.

The lecture on quasi-public goods ended with exactly this problem: markets also fail when one side knows much more than the other. This lecture shows how such a gap can stop good trades from happening, and in the worst case can shrink a market until almost nothing is left.

Information is part of the product

When you buy a car, you buy a machine and also a belief about it: how long it will last and how often it will break. If you cannot check that belief, the market cannot price it properly.

Asymmetric information

Asymmetric information exists when one side of a deal knows something important about it that the other side does not know.

The important word is "one side". Many deals involve uncertainty for everyone. That is not asymmetric information. The problem appears only when the uncertainty is lopsided, because then the side that knows more can act on what it knows.

Gaps like this are everywhere. Sellers know their products, insurance buyers know their own health, job applicants know their own ability, and borrowers know how risky their plans are.

Stop and think

A farmer agrees in March to sell her rice harvest to a trader in October, at a fixed price. Neither of them knows whether the monsoon will be good. Is this asymmetric information?

Show the answer

No. Both sides face the same uncertainty, and neither can use it against the other. That is risk, not asymmetric information. It would become asymmetric if the farmer knew something the trader did not, for example that her fields had been damaged by flooding. Then she would have a reason to agree to the deal that the trader cannot see.

Before the deal and after it

Information gaps cause two different problems. The way to tell them apart is to ask when the hidden thing matters: before the deal is made, or after it.

time The deal is made Before hidden information: what kind of thing it is → adverse selection a lemon, a high-risk buyer After hidden action: what someone does next → moral hazard less care, more risk
The same question sorts every case: is the hidden thing a fact that exists before the deal, or an action taken after it?

Adverse selection comes from hidden information before the deal. One side cannot see what kind of car, customer or worker it is dealing with. As a result, the people who choose to take part are mostly the ones the other side would least like to deal with. "Adverse" means unfavourable, and "selection" means who ends up in the deal.

Moral hazard comes from hidden action after the deal. Once the deal is signed, one side changes how it behaves, because someone else now carries part of the cost of its choices. The other side cannot watch closely enough to stop it.

The market for lemons

In 1970 the American economist George Akerlof published a paper called "The Market for 'Lemons'". In American slang, a "lemon" is a car that turns out to be bad. Akerlof showed that hidden quality can do more than make a market a little less efficient. It can make the good part of a market disappear.

Start with the simplest version. Half the used cars on sale are good, and worth $10 000. Half are lemons, worth $5 000. Sellers know which kind they own. Buyers cannot tell. A buyer who will not risk more than the average value offers this many dollars:

Now think like a seller. The owner of a lemon is delighted: $7 500 for a car worth $5 000. The owner of a good car refuses: $7 500 for a car worth $10 000 is a bad deal. So the good cars are taken off the market. Buyers soon notice that only lemons are left, and they offer $5 000. The good cars have been driven out, even though buyers would happily pay $10 000 for a car they knew was good.

That is it. That is the whole idea. The low offer drives out the best cars, and their leaving makes the next offer lower still.

With more than two kinds of car, this happens one step at a time. Try it in the model below. It is invented, but it follows Akerlof's logic exactly.

Real-world model — how a used-car market unravels

Ten used cars are for sale. Their owners value them at $1 000, $2 000, … up to $10 000. Buyers cannot tell the cars apart. Choose how much more than the owner a buyer values each car. Then press Next round and watch who stays.

An invented market. Ten cars are worth $1 000, $2 000, … $10 000 to their owners, and 20% more to a buyer. Buyers cannot tell the cars apart, so each round they offer what the average car still on sale is worth to them. Owners whose car is worth more than the offer take it off the market.

RoundCars on saleAverage value to ownersBuyers offer (× 1.2)Owners who leave
110$5 500$6 600the best four
26$3 500$4 200the best two
34$2 500$3 000the best one
43$2 000$2 400the best one
52$1 500$1 800the best one
61$1 000$1 200nobody

Only the worst car is sold. The nine cars that left would each have been worth 20% more to a buyer than to its owner, so $10 800 of gains from trade are lost. If buyers valued cars 50% more than owners, the market would settle with three cars sold. At 100% more, all ten would sell.

What did you see? At 20%, the best four cars left in the first round. Each round, the average car on sale got worse, so the offer fell, and the best remaining owners left. After six rounds, only the $1 000 car was sold. Yet every one of the ten cars was worth more to a buyer than to its owner. Every sale would have made both sides better off. Almost none of them happened.

At 50%, the market stopped with three cars sold. At 100%, nothing unravelled at all, because the offer for an average car, $11 000, was above every owner's value. So the size of the damage depends on two things: how much buyers gain from a car, and how widely quality varies. The model leaves out everything sellers and buyers might do about the problem, such as inspections, warranties and reputation. Those are the subject of the next lecture.

This is a market failure, as with externalities: too few trades happen, and the lost gains are a deadweight loss. But nothing spills over onto a third person. The cause is the gap in what the two sides know.

Adverse selection beyond cars

The same logic appears wherever price is set for an average that the buyer cannot see behind.

Worked Example 1 — An insurance pool shrinks

An invented example. An insurer covers 100 people for one year. Fifty are low-risk: each is expected to cost the insurer $200 a year. Fifty are high-risk: each is expected to cost $1 000. The insurer cannot tell them apart, so it charges everyone the average cost:

Suppose a low-risk person would pay up to $300 for cover. That is a little more than her expected cost of $200, because insurance removes worry. At $600, she refuses. A high-risk person would pay up to $1 200, so at $600 he buys.

Now the pool is all high-risk. The insurer's average cost is $1 000, not $600, so it loses $400 on each policy. It must raise the premium to $1 000. Only high-risk people buy at that price.

Check what was lost. Each low-risk person would pay $300 for cover that costs $200 to provide. That is $100 of gains from trade per person, and $5 000 across fifty people. None of it happens.

Hiring works the same way. An employer who cannot judge ability offers a wage based on the average applicant. The most able applicants can earn more elsewhere, so they are the most likely to refuse.

Lending works this way too. Two invented borrowers each want $1 000 for one year. Kwame's safe project will certainly return $1 150. Lucía's risky project returns $1 500 half the time and nothing half the time, and if it fails she repays nothing. At 10% interest, both borrow: Kwame keeps $50, and Lucía expects . At 20% interest, Kwame would make a loss of $50, so he stops borrowing. Lucía still expects $150, so she stays. Raising the interest rate has driven away the safe borrower. The bank's expected repayment per loan actually falls, from $825 to $600. So banks may refuse some loans rather than charge more, an argument made by Joseph Stiglitz and Andrew Weiss in 1981.

A real case: Harvard's health insurance, 1995 to 1997

Worked Example 2 — The plan that disappeared

The policy. Harvard University in the United States offered its staff a choice of health plans. The most generous was a plan with a wide choice of doctors (a PPO). From 1992 to 1994, staff paid an average of only $400 to $500 a year more to join it than to join a cheaper plan. In 1995 Harvard changed its rule. It would pay the same amount towards every plan, so staff would pay the full extra cost of the generous one. The change began with about half of the staff in 1995, and the other half joined in 1996.

The prediction. The adverse-selection argument says that when the extra price rises, the healthiest members leave first, because they gain least from generous cover. The remaining members are sicker and cost more. So the price must rise again, and more people leave.

What happened. In 1995 the extra charge for the generous plan rose to about $1 000. Its share of staff fell from about 20% to 15%. The people who left were younger and healthier than those who stayed: their average age was 46, against 51 for those who stayed. Because the healthy members had gone, the plan lost money in 1995 and had to raise its prices for 1996. The extra charge rose to more than $2 000, and the plan's share fell to about 9%. The people who left in 1996 were, by the insurer's measure, 20% healthier than the average member. At the start of the 1997 negotiations, it was clear that prices would have to rise dramatically again. The plan was closed. Harvard had lost the plan within three years. (David Cutler and Richard Zeckhauser, "Adverse Selection in Health Insurance", National Bureau of Economic Research, 1998.)

The verdict. This is the insurance pool of Worked Example 1, happening in real time. Nothing was wrong with the plan's doctors or its management. The plan failed because it charged one price to people whose costs it could not tell apart, and the people who could leave most cheaply did so. Economists call this pattern a death spiral. Notice what Harvard's rule did not include: any requirement that people stay in, or any price that depended on a person's risk. Those are exactly the kinds of tools the next lecture examines.

Moral hazard: what happens after the deal

Adverse selection is about who signs. Moral hazard is about what people do once they have signed.

Diego buys insurance for his phone. Before, a broken screen would have cost him $150. Now it costs him almost nothing, so he stops using a protective case. What is hidden is his behaviour after signing, because the insurer cannot watch him. The insurance itself has made the insured event more likely.

The same pattern appears in health care. When a visit to the doctor is free to the patient, people use more care, because the cost is paid by the insurer. The most famous test of this was the RAND Health Insurance Experiment in the United States, which ran from 1971 to 1982. About 2 750 families, more than 7 700 people in six places, were placed at random in different plans. Some received free care. Others paid 25%, 50% or 95% of their bills, up to a limit. People who paid 95% spent about 30% less on health care than people whose care was free. For the average participant, the lower spending did not make health worse. The exception was the poorest and sickest participants, who did better with free care for some conditions. (RAND Corporation, research brief on the Health Insurance Experiment.)

Read that result carefully. Free care led to more use, which is moral hazard. But some of the extra care mattered for the poorest and sickest. Moral hazard is real, but it does not mean every extra visit is wasted.

Moral hazard also appears at work and in finance. A worker on a fixed salary who is rarely supervised may put in less effort than the employer pays for. A bank that expects a government rescue keeps the gains when its risky bets pay off, while taxpayers may bear the losses. This is called "too big to fail". Many economists see it as one factor behind the financial crisis of 2008, though how large a factor is still debated.

The structure is always the same. One person, the agent, takes actions. Another, the principal, bears part of their cost and cannot fully observe them. This is the principal–agent problem.

Now sort some cases yourself. For each one, ask the timing question: is something hidden before the deal, or after it? And is anything hidden at all?

Sorter — adverse selection, moral hazard, or neither?

Put each situation in a box. Ask: is a fact hidden before the deal, or an action hidden after it? Every card explains itself when you place it.

Nine situations, sorted by the timing question.

  • Adverse selection (hidden information, before the deal). Smokers are more likely to buy life insurance sold at one price. A seller hides that her house floods. At a high interest rate, mostly risky firms apply. A new tenant hides his late-night music.
  • Moral hazard (hidden action, after the deal). An insured student stops using a phone case. A salaried worker takes long breaks when unwatched. A bank that expects a rescue makes riskier loans.
  • Neither (both sides know the same). Neither farmer nor trader knows the monsoon. Both shopkeeper and customer see the overripe mangoes.

Notice that insurance appeared in two boxes. The smoker buying life insurance was adverse selection. The student and his phone case was moral hazard. The market does not decide the box. The timing does.

Three classic mistakes

Trap 1 — Sorting by the market instead of the timing

Students often learn "insurance means moral hazard". But one insurance market can have both problems. Who buys the policy is adverse selection. How carefully they behave after buying it is moral hazard. Always ask whether the hidden thing is a fact before the deal or an action after it.

Trap 2 — "A lower price will clear the market"

In a normal market, a lower price brings in more buyers. In a lemons market, a lower offer drives out the best sellers, which makes the average quality worse and justifies an even lower offer. Cutting the price makes the problem worse, not better. The cure must deal with the information itself.

Trap 3 — Blaming dishonest people

In Akerlof's model nobody lies. The owners of good cars are honest, and they are the ones who are harmed, because they cannot prove their cars are good. The failure comes from what each side can know, not from bad character. That is why it is a failure of the market and not just of some people in it.

Try it yourself

Work each one on paper first. Open a hint only when you are stuck.

  1. Classify each case as adverse selection, moral hazard or neither, and give the reason.
    (a) A car-rental customer drives the hired car much harder than he drives his own car.
    (b) People who expect to need a lot of dental work are the most keen to join a dental plan.
    (c) A buyer and a seller both know a used bicycle has a bent wheel.

    Hint 1

    For each one, ask: is anything hidden from one side?

    Hint 2

    If something is hidden, is it a fact before the deal or an action after it?

    Full answer

    (a) Moral hazard: the driving is an action after the deal, the rental firm bears much of its cost, and it cannot watch. (b) Adverse selection: each person's dental needs are a hidden fact before joining, and the people who join are the costliest ones. (c) Neither: both sides know about the wheel, so the price can reflect it.

  2. In a used-car market, 40% of cars are good. A good car is worth $8 000 to its owner and $9 000 to a buyer. The other 60% are lemons, worth $3 000 to their owner and $3 500 to a buyer. Buyers cannot tell them apart. (a) What will buyers offer at first? (b) Which owners refuse? (c) What happens next, and what is lost?

    Hint 1

    Buyers offer the average value to a buyer: weight each value by its share.

    Hint 2

    . Compare the result with $8 000.

    Full answer

    (a) . (b) Owners of good cars value them at $8 000, more than $5 700, so they refuse. (c) Only lemons are left, so buyers lower their offer to at most $3 500, and lemons sell at a price between $3 000 and $3 500. Every good car would have been worth $1 000 more to a buyer than to its owner, and none of those sales happen. With 40 good cars in every 100, that is $40 000 of gains from trade lost for every 100 cars.

  3. A gym offers unlimited classes for a fixed monthly fee. Explain one adverse-selection effect and one moral-hazard effect, and say which one the gym would worry about more if classes have limited places.

    Hint 1

    Adverse selection: who is most keen to sign up for "unlimited"?

    Hint 2

    Moral hazard: once a member has paid, what does one more class cost them?

    Full answer

    Adverse selection: the people most likely to join are those who plan to attend very often, and the gym cannot see this when they sign up. So members use more classes than the average person the price was based on. Moral hazard: once the fee is paid, an extra class costs the member nothing, so members book classes they might otherwise skip, and may book and not turn up. With limited places, the moral-hazard effect matters a lot, because members who book and do not come take places from others. This is one reason many gyms charge a small fee for booking and not attending.

  4. Use the used-car model in this lecture (ten cars worth $1 000 to $10 000 to their owners). (a) What is the smallest percentage by which buyers must value a car above its owner for all ten cars to sell in the first round? (b) Explain in words why a market with very different qualities unravels more easily than one where all cars are similar.

    Hint 1

    All ten stay only if the first offer is at least $10 000. The first offer is the average owner value, $5 500, times (1 + the percentage).

    Hint 2

    Solve .

    Full answer

    (a) , so : buyers must value cars about 82% more than owners. Check with the model: at 80%, the offer is $9 900, and the $10 000 car leaves; at 90%, the offer is $10 450, and all ten stay. (b) The owner of the best car compares her own value with the average value. When qualities are spread widely, the best car is far above the average, so a buyer's gain must be very large to make the average offer acceptable to her. When all cars are similar, the best car is close to the average, and even a small gain to buyers is enough to keep every owner in the market.

The bigger idea

Akerlof's paper was almost not published. In a 2001 essay, he described how two leading journals rejected it as trivial. A third rejected it after its referees argued that it was wrong. The Quarterly Journal of Economics finally accepted it. In 2001 Akerlof shared the Nobel Memorial Prize in Economic Sciences with Michael Spence and Joseph Stiglitz, for their analyses of markets with asymmetric information.

The referees' doubt contains a real question. If the logic is right, why do used-car markets, insurance markets and job markets still exist? The answer is that people build ways to close the gap: inspections, warranties, reputations, exams and qualifications, rules that require disclosure, and rules that require everyone to join an insurance pool. A large part of economic life is made of these institutions, and most of them exist because one side knows more than the other. The next lecture looks at how they work, and when they fail.

Key concepts in this lesson