Table of Contents
I. Mechanics of Course
II. Sketch of course
III. What is economics
IV. What is the Economic Analysis of Law
V. What is economic analysis of law good
for? Why should people study it?
VI. What is the relation between economics
broadly defined and economics more conventionally defined?
VII. What is economic efficiency?
VII. Law
Second Week: Externalities
I. Externalities: The conventional
Analysis
II. Externalities in the law
III. Coasian critique of externality
theory: An argument in three acts.
IV. Some further implications:
V. Damages vs fines:
VI. Fines vs Damage Payments in summary:
VII. Other Coasian stories:
VIII. Coase vs Pigou--a summary:
IX. Property rules vs liability rules:
X. Another take: Its all a matter of
information
Third Week: Insurance
I. Insurance: why it is interesting:
II. Why insure?
III. The economics of risk aversion:
IV. Von Neumann and Morgenstern
formalized this argument as Von Neumann utility
V. One problem with insurance: Moral
Hazard.
VI. The other problem with insurance:
Adverse Selection.
VII. Application to product liability.
Who is liable for damage done by exploding Coke bottles?
VIII. Why doesn't the law make these
calculations for ordinary insurance, deciding for you whether you are
insured or not?
IX. Why not apply the same analysis to
tort liability?
Fourth Week: Ex Ante/Ex Post,
Strategic Behavior, etc.
I. Review: Marginal vs average.
II. Ex Ante, ex Post:
III. "Impossible attempts": Should there
be a penalty for attempting to kill someone by a method that cannot
work?
IV. Strategic behavior:
V: What is property?
VI: Determining property rules really
involves a set of questions:
VII. Property rules--including
Intellectual Property (I.P.), primitive societies, et multae caetera:
VIII. Intellectual Property Law: What
the law is.
IX. The Economics
Fifth Week: Contract Law
I. Contract Law:
II. But contracts can be enforced in
other ways than by law--and are.
III. Damages
IV. Consumer fraud, liability, etc. [I
will be covering this material Monday 11/4]
V. Duress
VI. Information and Incentives: Laidlaw
v Organ [I will be covering this material Monday 11/4]
VII. Contracts, a summary.
Family Law
I. Divorce: Lloyd Cohen article.
II. Why has marriage become a less
stable contract over the past century?
III. The economics of wedding
rings-argument from an article by Margaret Brinig (not in the
packet):
IV. Adoption market:
V. It is often claimed that, when I
have a child, I impose net costs on others, so that leaving people
free to decide how many children they have will result in
overpopulation.
VI. Regulation of Sex. Why do we do it?
Adultery laws, fornication laws, ...
Tort Law
I. Tort Law:
II. "Wrongful"
III. Causation complications
IV. Liability
V. Complications in tort damage analysis
VI. Liability alternatives
VII. Summary of implications
VIII. Amount of damage payment awarded
IX. My Explanation 1: Punitive damages
are for very deterrable torts
X. My explanation 2: Punitive damages
are for strategic torts
XI. Why pay tort damages to the victim?
XII. Three steps to an efficient world
XIII. Damages for loss of earning
capacity, death, injury
Criminal Law
I. The nature of the criminal law:
II. Economist's view of what should be a
crime and why.
III. If this is how we set our
punishments, then the reason we do not make them higher is that we
are afraid of deterring efficient crimes. Can that be right? Is the
reason we do not increase the punishment for murder that we are
worried that we would then have too few murders? [This set of issues
is discussed in more detail in my "Payne v Tennessee" and "Punitive
Damages" articles]
IV. The cost of crime control.
V. If punishment were costless, the
optimum level would be expected punishment equal to damage done,
deterring all and only inefficient offenses. How do we calculate the
optimal punishment taking account of the cost of imposing it?
VI. Why count the criminal's costs at
all?
VII. Rich vs Poor--should they pay the
same fines? In some cases yes, but in others no, because:
VIII. Marginal deterrence: My article
(with William Sjostrom) is accessible from the web page.
IX. The Paradox of Efficient Punishment:
X. Some more points involving crime:
XI. Criminal law summary:
Antitrust Law
I. The Issue of Monopoly
II. The Efficiency and Inefficiency of
Discriminatory Pricing: A XMas Tale
III. Solving the efficiency problem of
natural monopoly by regulation:
IV. What about legal rules to discourage
monopoly?
V. As these examples show, imprecise
verbal arguments about monopoly behavior, or economic behavior in
general, often produces the wrong answer. There is something to be
said for precision--and for formal mathematical models.
VI. The English vs the American Rule
History as Data
I. Looking at how other societies did
it.
II. Iceland. History. Harald's
unification of Iceland. [This is given in much greater detail in my
article "Private
Production and Enforcement of Law: A Historical Case" which you have,
and which is also on the web]
III. 18th century England. [This is
given in much greater detail in my
article
on 18th century England]
IV. Twentieth Century California. [This
is discussed in more detail in my
review "Less Law
Than Meets the Eye," and in much more detail in Ellickson's book]
V. Summary:
VI. Efficiency and the common law:
From The Top: A Summary of the
Course
I. What is economics?
II. What is economic analysis of law?
III. Allocational vs distributional
issues: At the heart of many political arguments, including the
preception of economic analysis of law as conservative.
IV. Economic efficiency
V: What is Law?
VI. Essential economic concepts
VII. Property
VIII. Contract Law
IX. Family law
X. Tort law
XI. Criminal Law
XII. Monopoly
XIII. The English vs the American rule
XIV. Some interesting historical cases
XV. Summary of Summary
Class Outline: Economic Analysis of Law
This outline contains what I said, what I think I said, and what I
ought to have said, so discrepencies between what it contains and
what you remember are not necessarily due to your poor memory.
- I. Mechanics of
Course:
- A. Written material will consist of:
- 1. A short book by Polinsky
- 2. Lots of articles which will be handed out in class;
note that in some cases only part of the article is
assigned.
- 3. An outline of the lecture, which will be handed out
each week for the preceding week, deus volenti. You're
reading it.
- 4. An optional supplementary text by Posner. This is a
big book, covering a huge range of material, by one of the
leading scholars in the field.
- B. I have a web page for the course at
http://www.best.com/~ddfr/Econ154.html. My EMail address is
DDFr@Best.com
- C. There will be a midterm at about
10/24.
- D. The final will cover everything, and be
mostly or entirely essay.
- E. last year's lecture notes and exams,
from when I taught this course at Santa Clara University, are
or will be available on the web page and in the library.
- II. Sketch of
course:
- A. This week--introduction
- B. Part I: Economic Analysis of Law,
organized by ideas.
- C. Part II: Organized by legal
field.
- III. What is
economics? [For a longer discussion,
see chapter
1 of Price
Theory ]
- A. An approach to understanding behavior,
based on the assumption that Individuals have objectives and tend to choose the
correct way of achieving them.
"Rationality."
- B. Some Examples:
- 1. Why have locks on doors?
- a. A sufficiently determined burglar can get into
anything short of a bank vault, with a sledgehammer and
crowbar or through the window.
- b. A lock makes it harder, thus more work and a
greater chance of being caught, thus a less profitable
project.
- c. So we put locks on our doors because we believe
that burglars are rational.
- 2. A policeman has evidence that will convict a
criminal; what does he do with it?
- a. Convictions costs the criminal $50,000, benefits
the policeman's career by $10,000
- b. Dragnet answer: arrest the criminal.
- c. Economics answer: Sell the evidence to the
criminal for some price between $10,000 and $50,000
- d. To keep this from happening, some of the policemen
have to be watching the other policemen instead of the
criminals.
- e. The solution proposed by Becker and Stigler was a
bounty system, where the policeman receives as salary the
fine paid by the convicted criminal. If he takes a bribe,
he is merely cutting out the middleman.
- f. Which is how our civil system works--we call the
"bribe" an out of court settlement.
- 3. Civil forfeiture
- a. Under Federal law and the law of many states,
property used in certain crimes can be seized by the
government, without proving that the owner was guilty of
anything.
- b. In at least some states, the value of the seized
property goes to the police department that seized it.
- c. Which gives police departments an incentive to
look for rich people they can find (or create) evidence
against, rather than criminals in general.
- d. A similar problem exists with punitive damages.
- 4. If we impose the maximum possible penalty for armed
robbery, the additional penalty for murder if you are
already committing armed robbery is zero, so we have made it
in the interest of armed robbers to kill their victims.
- IV. What is the
Economic Analysis of Law?
- A. First Project: The consequences of legal
rules.
- 1. If we impose the maximum possible penalty for armed
robbery, ...
- a. The implication is not necessarily that we
shouldn't do it--it will deter some armed robberies
- b. But increase the number of armed robberies with
murder
- c. And we should take that into account in deciding
whether to execute armed robbers.
- 2. Plea bargaining:
- a. It seems as though it should weaken punishments,
since a defendant will only accept a plea bargain if he
thinks it is a better deal than the risk of being tried
and convicted.
- b. But it may strengthen them. Prosecutors have
limited resources; if 90% of defendants plea bargain,
resources can be concentrated on the remaining 10%,
making conviction more likely--and making defendants
willing to accept harsher bargains.
- 3. Requiring CD players in cars. Seems to benefit
consumers--until we take account of the effect on the price
of cars. The same argument applies to requiring hot water in
apartments, safe jobs, ... . Fixing one term of a contract
in favor of one party is not in general a transfer, since
prices, or other terms in the contract, shift to compensate.
- 4. Requiring seat belts. Accidents are the result of
rational decisions--how fast to drive etc. Making cars safer
makes risky driving cheaper, which increases the amount of
it. Sam Peltzman actually observed this result by
statistical analysis of accident rates before and after a
sharp increase in required safety equipment.
- B. Second Project: Predicting legal
rules.
- 1. The Posner Conjecture: Common Law tends to be
economically efficient.
- 2. One basis for this conjecture might be a plausible
mechanism by which efficient law would be generated. In my
opinion, Posner has never provided one.
- 3. An alternative basis might be evidence that the
observed rules of the common law tend to be the same rules
that economic theory tells us are efficient. Posner offers a
lot of such evidence. One problem is that the conclusions of
economic theory are not always clear cut, so a clever
economist who knows what the rule is might be able to
construct arguments for why it is efficient--and might be
able to do so for whichever alternative the law chose.
- 4. An alternative approach to predicting legal
rules--legislated ones--is public choice theory, which tries
to apply economics to the political marketplace. We will
probably not be covering that in this course.
- 5. This project is also a positive one--explaining what
the law is, not what it should be.
- C. Third Project: Evaluating Legal
Rules--Efficiency as a norm.
- 1. Controversial, but ...
- 2. Economic efficiency is a value, and maybe the one law
can best achieve
- 3. Allocation vs distribution
- V. What is economic
analysis of law good for? Why should people study it?
- A. One attraction of the economic analysis
of law, from the standpoint of legal scholars (or potential
legal scholars) is that it ties together diverse areas of law,
providing a common theoretical structure.
- B. It is also useful for understanding
economics, because you learn about ideas by trying to
concretise them.
- 1. "Property" sounds like a simple idea--and isn't.
- a. Does ownership of land include the air above--to
what height? The earth underneath? Oil in the earth
underneath?
- b. What can you do to protect your ownership?
Physically keep people out (build a high wall)? Shoot
trespassers? Sue trespassers--but only for damage
actually done?
- 2. "Cause an externality" seems like a simple
concept--and isn't. When I play loud music while my roommate
wants to sleep, there is a resulting cost--but it would be
eliminated either by my turning off my music or by my
roommate deciding to get up and party.
- 3. Coase revolutionised our understanding of
externalities, market failure, etc., in part by looking at
how the common law of nuisance treated such problems.
- 4. "Cause" is also a difficult concept more generally.
Consider the case of two hunters simultaneously shooting a
third--one in the head, one in the heart. Who caused the
third hunter's death? Neither--and both.
- C. The law is also useful to economists as
a vast pool of interesting puzzles.
- D. And as data.
- 1. How people do things is a fact--evidence.
- 2. When you prove they would be better off doing things
differently, you have probably demonstrated a flaw in your
theory--since people generally know what actions are in
their interest.
- VI. I have been
offering a broad definition of economics, one that goes far beyond
prices, unemployment, and the like. What is the relation between
economics defined in that way and economics more narrowly
defined--what you find in the typical micro text?
- A. The latter has been worked out in more
detail.
- B. and it helps us understand economics in
the broader sense.
- 1. To understand marriage, use ideas developed in
explaining long term contracts between firms. Talking about
a marriage market is not merely a metaphor--it is a real
market, even if the prices are not explicit or in money.
- 2. To understand your three year old's apparently
irrational behavior ("I want icecream and will throw a
tantrum if I don't get it, even though you will then send me
up to my room without any icecream") think about the logic
of commitment strategies in ordinary economics. If he
persuades you that he has committed himself strongly enough,
next time you may give him the icecream to avoid the
tantrum.
- C. The broad approach helps us intuit the
narrow. We do a lot of rational choosing in our daily lives,
and can apply the intuitions developed there to understanding
the behavior of firms, workers, etc.
- VII. What is economic
efficiency? (Posner calls it "Wealth
Maximization") [For a longer
discussion, see Chapter
15 of Price
Theory .]
- A. The problem--evaluating different
systems of rules, their outcomes, etc.
- 1. By whose values?
- 2. How aggregated?
- B. The economic solution.
- 1. Revealed preference: Heroin or Insulin, the fact that
someone is willing to pay lots of money to get it is
evidence that it is valuable to him. How valuable? It is
worth to him the maximum amount he would be willing, if
necessary, to pay for it.
- 2. Aggregate effects across people by using willingness
to pay as a common unit. We are using value (utility
measured by dollar willingness to pay) rather than utility
(units of pleasure, or happiness, or something similar). A
dollar might represent more utility to one person (poor--or
materialistic) than to another (rich--or ascetic) but it
represents, by definition, the same value.
- 3. Note that value measured in dollars is not the same
thing as pieces of green paper. If I am willing to pay $400
for a new printer and buy it for $300, I end up with $300
less money--but I am $100 better off than before the deal.
- C. Defense of the economic solution.
- 1. If we wish to describe behavior, it is revealed
preference, not "value as known in the mind of God," that is
the relevant tool.
- 2. If we wish to predict outcomes, willingness to pay is
more relevant than utility. Whether lobbying, litigating, or
simply buying goods on the marketplace, one man's dollar
will have about the same effect as another's, independent of
how much happiness a dollar represents to each.
- 3. What about using efficiency as a normative
criterion--to decide how society should be organized?
- a. Both elements are then problems, but ...
- b. It is not clear one can do better. God is not
available to run the society. Other people are available
to make choices for us, but even if they (sometimes) know
what is good for me better than I do, they are less
certain to seek my good than I am. They may take the
opportunity to seek their own good at my expense.
- c. Many economic choices involve gains and losses to
large and diverse groups, in which case differences in
utility/dollar may average out.
- d. Even if efficiency is a good proxy for utility,
however, is utility all that matters? If there are
utility monsters (people who feel much more intently than
the rest of us do) should we devote all of our resources
to their pleasure? If you can save the lives of three
people about to be lynched by framing one innocent person
for the crime, should you do it?
- e. Utility is probably not all that matters, but it
is one big thing that matters, and if we know how to
maximize it and don't know how to maximize the rest of
what matters (or cannot agree about what it does), then
rules that maximize utility (or efficiency as a proxy for
utility) may be the best we can do.
- D. Efficient vs Inefficient outcome:
"Efficient" is a sort of outer bound benchmark, the best result
we could hope to achieve by any economic system.
- 1. I define a "bureaucrat god" as someone who knows
everything anyone in the society knows, and has unlimited
ability to calculate how to coordinate people's actions and
to make them do what he tells them to.
- 2. An outcome is efficient if a bureaucrat god could not
improve it ("improve" in the sense we have been
discussing--make a change that produces total benefits
larger than total costs).
- 3. If an outcome is efficient, no change in the
economic/legal system can improve it, since we have no tools
available that the bureaucrat god does not also have.
- 4. If an outcome is inefficient, we might be able to
improve it. But we also might not, since we have no
bureaucrat gods available to run our economy.
- E. Other definitions of efficiency. [I
didn't get to this part in class]
- 1. Pareto:
- a. An improvement is a change that benefits someone,
hurts nobody. This definition avoids interpersonal
comparison, but ...
- b. In practice, few changes in legal rules and the
like are pareto improvements.
- 2. Hicks/Kaldor:
- a. An improvement is a change that would be a pareto
improvement if combined with suitable transfers among
those affected.
- b. This almost always gives the same conclusion as
Marshall's definition (what I started out explaining).
- c. Because if there are net benefits, then the
gainers gain enough to compensate the losers, and if the
gainers gain enough to compensate the losers, then there
are net benefits.
- d. Actually, there is an exception to this apparently
obvious conclusion, explained in my article "Does
Altruism Produce Efficient Outcomes? Marshall vs Kaldor"
on my academic web page.
- 3. Both the Kaldor and Pareto approach make it look as
though you are not trading off gains to one person against
losses to another, when in fact you are. That is why I
prefer Marshall's approach.
- E. What matters is that you understand
these ideas, not that you agree with them.
- 1. Accept rationality as a working hypothesis for this
course.
- 2. Take Posner conjecture as a conjecture, look at
evidence for and against.
- 3. Feel however you like on the third project.
- VIII. Law
- A. Where it comes from:
- 1. Constitution
- 2. Legislature
- 3. Courts
- a. On their own--Anglo-American common law.
- b. Interpreting the constitution to constrain the
legislature
- c. Interpreting legislation.
- 4. The hierarchy of courts, appeals.
- a. District to Circuit to Supreme
- b. Each level can refuse to hear appeal
- c. Appeal on the law, not the facts, which the
appeals court accepts as determined by the lower court.
- 5. Why courts matter--the inherent ambiguity of English.
You cannot write laws clearly enough to leave no hard cases,
so the courts (at least) fill in the details.
- B. Consistency/inconsistency.
- 1. In many areas, state laws differ.
- 2. Federal laws are the same everywhere in the U.S., but
different circuits may differ in their interpretation of
them until the Supreme Court hears the issue and settles the
disagreement.
- 3. In the case of patents on software, a specialized
lower court with expertise in the field gradually pulled the
Supreme Court into interpreting the law the way the lower
court thought it should be interpreted.
- 4. In interpreting new issues on the basis of old court
decisions, courts frequently argue by analogy.
- 5. Which raises the interesting question--is it analogy,
or function, or interest, or ... that determines the
development of the law.
- C. How are cases decided.
- 1. Adversary system
- a. That means that each party is in charge of finding
and presenting the evidence for his side of the case.
- b. As opposed to an "inquisitorial" system where the
judge is in charge of finding out what the facts are.
- c. Real systems, American or European, have elements
of both, but American is more adversarial, European more
inquisitorial.
- 2. Jury is available for both criminal and civil (U.S.
only)
- 3. Judge decides law, jury facts--supposedly.
- a. But consider the incentive for a juror who
disapproves of the law to "interpret" the facts so as to
get what he considers the just verdict, or ...
- b. For a judge who has a strong opinion on the facts
to "interpret" the law so as to push the jury towards the
correct verdict.
- D. We have multiple legal systems
- 1. Federal, state
- 2. Criminal/Civil
- a. The difference being whether the state or the
victim controls what happens
- b. And collects damages, if any (damage/fine;
injunction/punishment)
- c. Different standard of proof.
- d. Civil law includes property, contracts, and torts.
- 3. Administrative law.
- 4. Property law:
- a. What rights do you have when you own something?
- b. What can you sell? Land, but not your kidney.
- c. How else can you lose the rights? Under the
doctrine of adverse possession, if someone else acts
openly as if he owns the land, or some right such as the
right to cross over it, and you do nothing to object, he
owns it.
- 5. Contract
- a. What suffices to form a contract
- b. What terms will be enforced
- c. What terms will be read in--resolving ambiguity
- d. How will breach be treated?
- 6. Tort law: What determines liability
- a. strict, negligence, comparative negligence
- b. Causality--what does it mean for someone to cause
an injury?
- E. Some interesting issues include
...
- 1. Why do civil and criminal law
- a. Exist in their current form. Each is a particular
bundle of legal rules
- b. Apply to the particular things they apply to
- 2. Adversarial vs Inquisitorial systems for trying cases
- 3. Who pays the cost of litigation
- a. English (loser pays) vs American (each party pays
his own litigation expenses) rule for civil cases.
- b. Should we reimburse criminal defendants who are
acquitted for their defense expenditures?
- c. What about defendants who are convicted and later
found innocent?
- 4. Enforcement strategies
- a. How to punish criminals
- b. How hard to try to catch them
My Web pages are now also available at:
http://www-leland.stanford.edu/~ddfr1/Econ154.html
Second Week:
Externalities
Pigou, Coase,
Railroads, Candy Makers, and All That
[Also see the discussion in Chapter
18 of Price
Theory ]
- I. Externalities: The conventional Analysis
- A. The simple argument for
efficiency:
- 1. If people who take actions receive the benefits and
pay the costs of those actions
- 2. Then they will take those actions and only those
actions for which net benefits>net costs
- 3. Which is the efficient rule
- 4. And this condition is met in the ideal competitive
market (for explanation, see a Price Theory text--preferably
mine)
- B. The problem:
- 1. If I can take an action some of whose costs are born
by other people
- 2. For example, produce both steel and pollution, sell
the steel, pay wages and the cost of input, but not pay the
cost of the pollution
- 3. Then I will produce steel even if total costs,
including pollution, are > total benefits for at least
some of my output--i.e. produce more than the efficient
quantity
- 4. And I will produce steel in the way that minimizes my
total cost, not all total cost--for example, will not do
costly things to reduce pollution, even if they are, on net,
worth doing.
- C. Simple solution--direct
regulation.
- 1. The EPA or equivalent decides who can pollute how
much where, what methods of pollution reduction have to be
used, etc.
- 2. The problem is that do do that right they would have
to know both the damage done by pollution and the cost of
all the alternatives--which they probably don't
- 3. And it is not in the interest of firms to tell them,
since a firm that can persuade the EPA that there is no way
of reducing its pollution at any reasonable cost gets to
keep on polluting.
- D. Fancier solution--effluent tax.
- 1. Charge each firm for the damage done by its
pollution.
- 2. It can decide whether to pollute and pay, control
pollution, or stop producing.
- 3. And it is in its interest to choose the most
efficient alternative.
- E. There is still an informational problem,
since the taxing authority has to estimate the damage done by
polluting in order to set the tax--but at least it does not
have to estimate the cost of not polluting. It can trust the
firms to solve that problem in their (and our) interest.
- F. Both solutions face a further
problem--how to make it in the interest of the regulator/taxing
authority to make the rules that produce an efficient
outcome.
- 1. It might be more politically attractive to sell out
to the polluters in exchange for campaign contributions.
- 2. Or impose very stringent rules in order to be bribed
not to enforce them.
- 3. We will be mostly ignoring this class of problems at
this point.
- II. Externalities
in the law
- A. Direct regulation of
pollution--EPA
- B. Laws as effluent fees: Speeding
tickets.
- 1. If we wanted to eliminate all speeding, we would hang
speeders--or confiscate their cars.
- 2. If we believe that speeding imposes some, but not
infinite, cost on others, we try to impose a penalty
sufficient to deter speeding--except when speeding is worth
enough so that the driver is willing to pay the price.
- C. Damage payments as effluent fees: Tort
law.
- 1. One way of inducing drivers to take precautions is to
make them liable for the cost of the damage they do to
others if they don't.
- 2. By allowing their victims to sue them for damages.
- D. Criminal punishments as effluent
fees.
- 1. Crimes impose costs on their victims.
- 2. By making the criminal pay a punishment equal (on
average) to those costs, we deter crimes, except
- 3. When the benefit to the
criminal is greater than the cost to the victim, so the
criminal is willing to pay the price. Example: Hunter lost
and starving in the woods who breaks into a cabin, steals
food, phones for help.
- 4. In other words, we deter inefficient and only
inefficient crimes.
- 5. An alternative approach, if we think the court can
tell when offenses are efficient, is to special case
them--to punish only the inefficient crimes. The lost hunter
is excused from punishment under the "doctrine of
necessity."
- 6. Note that criminal punishments are typically costly.
When I pay a damage payment, someone receives it. When I am
executed, nobody gets the life I lose. When I am imprisoned,
nobody gets my liberty and the taxpayers have to pay for the
prison.
- 7. We should modify our rules to take account of this.
There may be some offenses that are inefficient--we would
like to deter them if we could do so costlessly--but cost
more to deter than it is worth.
- E. Some of these examples involve a payment
to the "victim" and others involve payment to the state. We
will see shortly that this difference is sometimes
important.
- III. Coasian
critique of externality theory: An argument in three
acts.
- A. Nothing works: Two sided
causation.
- 1. A doctor builds a new consulting room onto his house,
adjacent to where a neighboring candy maker is operating
machinery. The machinery was no problem previously, but is
vibration now prevents the use of the consulting room. The
doctor sues.
- 2. As this example shows, "external costs" are typically
due to joint actions.
- a. Polluting and breathing
- b. Using the same lake for a summer resort and a
place where a factory dumps chemicals
- c. Operating a recording studio next to a fraternity
house that has parties
- 3. Making either one party liable to the other
eliminates the other party's incentive to solve the problem.
- 4. A railroad throws sparks that start fires in the
adjacent grain fields. One solution is for the railroad to
put on a spark arrester that will prevent the sparks. An
alternative is for the farmers to plant some non-inflammable
crop (hereafter "clover") along the rail line.
- B. Everything works: The Coase
Theorem
- 1.The doctor wins his his case, but the efficient
outcome is to move the consulting room, not the factory. So
the candy maker pays the Doctor to move the consulting room
and let him continue to operate his factory.
- 2. As long as there are net gains from changing the
outcome, there is some way of allocating the gains that
makes everyone better off, so the change should occur. More
precisely:
- 3. The Coase Theorem: If transaction costs are zero, any
initial allocation of property rights will lead to an
efficient outcome.
- 4. Here "transaction costs are zero" means "if there
exists a transaction that benefits all parties, it will
happen."
- C. It all
depends--on transaction costs.
- 1. 1 Railroad and 1 farmer--fine. Whatever the legal
rule is, they bargain to the efficient outcome.
- 2. Railroad, 100 farmers, railroad has the right to
throw sparks.
- a. And should... no problem. sparks
- b. And shouldn't--public good problem. Still sparks,
even if the spark arrester is less costly
- c. A public good problem occurs when a good, if
produced, will be available to all the members of a
pre-existing group. In this case, if someone pays the
railroad to install the spark arrester, all of the
farmers will benefit--whether or not they helped pay. So
each farmer may try to be a free rider--get the benefit
without paying for it.
- 3. Farmers have the right to enjoin.
- a. And should...no problem. No sparks, and that is
the efficient outcome.
- b. And shouldn't...holdout problem. Suppose that the
cost of a spark arrester is $200,000, the cost of
switching to clover is $100,000 ($1000/per farmer). RR
offers each farmer $1100 to switch. One farmer notices
that if everyone else agrees, his agreement will let the
RR save a lot of money--but if he blocks the settlement
(i.e. insists on enjoining the RR from throwing sparks)
they will have to pay for a $200,000 spark arrester. So
he tries to hold out for much more than $1100. So do
others. No agreement. No sparks. No clover.
- 4. Farmers have the right to sue--for $3000 damages
each:
- a. If no sparks is the efficient solution, you get it
immediately--the RR installs the spark arrester instead
of paying damages.
- b. If sparks +clover is the right solution, get it
after bargaining. A farmer can try to hold out--but the
RR can settle with the other farmers, and pay the holdout
$3000 for the fires in his fields. The holdout loses out
on whatever premium the RR was paying above the cost of
switching to clover.
- c. If sparks without clover is the efficient
solution, that happens immediately too. The RR is only
willing to pay the farmers up to $3000 each to switch to
clover--but switching costs them more than that (that is
why clover is not the efficient solution in this case).
- d. So the damage rule appears to be the best
solution--if damages are easily and cheaply measurable by
the court. We have so far ignored both the cost of
litigation and the risk of court error.
- IV. Some further
implications:
- A. We should include other
alternatives:
- 1.the fourth option--RR has the right, but a liability
rule. That means that any farmer can enjoin sparks--but is
then liable to the railroad for the cost of putting on the
spark arrester.
- 2. Which gives a public good problem if no sparks is the
right solution. No individual farmer wants to enjoin,
because he will then pay for the spark arrester while
everyone else gets the benefit of no sparks.
- 3. And we could consider still more possible legal
rules, including one where the RR can force the farmers to
switch to clover--but owes them damages for doing so, and
rules where the damage payments go to the state instead of
the other party.
- B. How we would figure out the optimal
property rules, if we knew just barely enough: The spaghetti
diagram.
- 1. We start with three possible legal rules, four
possible outcomes (one, spark arrester + clover, is
uninteresting here, although one could imagine situations
where we wanted both parties to take precautions).
- 2. We are going to apply our legal rules to a lot of
different situations in the future, and the courts will not
know enough to revise the legal rule for each situation. In
other words, we can't say "in any situation where the
efficient outcome is sparks, give the railroad the right to
throw sparks, in any situation ... ." We need a single legal
rule to cover many future cases.
- 3. We have some estimate of how likely different
situations (sparks efficient, clover efficient, etc.) are to
arise in the future.
- 4. So we consider, for each initial rule, how hard it is
to get from that rule to each of the possibly efficient
outcomes. We then choose the least costly rule, allowing for
how likely it is that each outcome will be the most
efficient (and how much is at stake, and how costly getting
to that outcome from that initial rule will be).
- 5. Note that the costs coming from problems that block
the move from initial rule to final outcome are of two
sorts.
- a. The cost of organizing a transaction--bargaining
out a solution to the public good problem.
- b. The cost of failing to organize such a
transaction, and thus ending up with an inefficient
outcome.
- V. Damages vs
fines:
- A. The strategic case: suppose the RR owes
a fine to the government for each fire; further suppose that
the spark arrester is the efficient solution, but clover is
better than fires.
- 1. The RR keeps throwing sparks, pays fines for a while,
knowing that ...
- 2. The farmers, who are suffering from the fires and not
collecting the fines, will eventually switch to clover
- 3. Note that this depends on a particular asymmetry--one
RR, many farmers.
- a. With one of each, the RR has no bargaining
advantage. The farmer might refuse to switch to clover in
order to get the RR to put on the spark arrester.
- b. With many of each, no strategic behavior. Consider
the case of auto accidents. It doesn't make sense for me
to drive recklessly in the belief that everyone else will
be very careful to compensate--because I am only one
one-millionth of their driving environment.
- B. The
non-strategic case with bargaining:
- 1. There is a factory polluting a small lake; preventing
the pollution will cost the factory $1,000,000/year.
- 2. The pollution does $700,000/year worth of damage to
the resort at the other end of the lake--ruins the fishing,
people don't want to swim in water that smells bad, etc.
- 3. Efficient outcome--keep polluting, since prevention
costs more than it is worth.
- 4. The government imposes a Pigouvian tax--every year,
the factory must pay $700,000 in fines to the EPA for its
pollution. The factory keeps polluting. The resort keeps
losing money.
- 5. The resort owner offers the factory $400,000/year to
stop the pollution--which is a good deal for the resort,
since stopping the pollution is worth $700,000 to it.
- 6. The factory accepts. It saves $700,000 in fines and
gets an additional $400,000 from the resort, so it is worth
paying the $1,000,000 cost.
- 7. The result is inefficient.
- 8. Coase + Pigou is too much incentive. "Incentive" is
not automatically a good thing; what we want is the right
incentive, neither too much nor too little.
- 9. Note that the problem will not arise if the $700,000
is a damage payment to the resort instead of a fine--now the
resort doesn't care whether or not the factory pollutes (and
pays for it).
- C. The non-strategic case without
bargaining--auto accidents.
- 1. The probability of accidents depends on precautions
by both parties.
- 2. We want each to take any precaution whose payoff in
decreased accidents is greater than its cost.
- 3. To give them an incentive to do so, we must make each
party liable for all of the costs--double liability in
total.
- 4. At which point they have an incentive not to report
the accident.
- VI. Fines vs
Damage Payments in summary:
- A. Strategic argument for damage
payment--where parties are identifiable and one side has a big
commitment advantage.
- B. "Coase+Pigou is too much" argument for
liability.
- C. Joint cause argument for fine--adding up
to double liability.
- D. Liability has the advantage (and
disadvantage) of private enforcement.
- 1. An incentive to report the accident
- 2. But also an incentive to sue when you have not been
injured--in order to collect.
- VII. Other Coasian
stories:
- A. Suppose rights with regard to polluting
the lake are well defined but for some reason the factory and
the resort find it hard to bargain to the efficient solution.
Perhaps there are many resorts. Perhaps it is hard for the
resort to tell how much pollution the factory is putting
out.
- B. One solution is for the factory to buy
the resort, or vice versa. Once they belong to the same firm,
there is no longer an externality--the cost of pollution and
the cost of pollution control are being paid by the same
people.
- D. Generalizing the argument provides an
explanation of why we have firms--which was the subject of
Coase's other famous article:
- 1. If you have taken an intermediate micro course, you
know that trade on the market provides the perfect system
for decentralized coordination. So why have firms? Why not
do everything by contract?
- 2. Suppose we do it that way (the "Inside Contracting
System," which was widely used in the 19th century). Each
stage of production is being done by a separate firm or
individual, with contractual agreements among them. "I will
deliver ten assembled rifle actions per day for you to put
into the stocks you are making, and I will get $7 per action
from what he eventually sells them for."
- 3. Something goes wrong. One party fails to fulfill his
contract, imposing costs on everyone else up and down the
line, which he may not have the resources to reimburse.
- 4. More generally, the market solution to coordination
is limited by transaction cost problems of various sorts,
while the hierarchical solution (the ordinary firm) is
limited by the problem of controlling people by command (the
worker's objective is to maximize his welfare, not the
firm's profits--only if the worker owns the firm, as he does
in a system where every worker is his own firm contracting
with other such firms, are the two objectives the same), the
informational problems of centralized authority, etc.
- 5. Think of the firm as a balance between the problem of
transaction costs and the problem of hierarchical control.
The bigger the former problems are the larger firms will be,
the bigger the latter problem, the smaller firms will be.
- VIII. Coase vs
Pigou--a summary:
- A. In some contexts, such as traffic
accidents and much pollution, we have large numbers on both
sides, so no Coasian negotiation is practical.
- 1. So property rights will end up where they start,
- 2. So we want the "right" Pigouvian solution--which
requires an opinion on who can best adjust.
- 3. And might mean fining both parties to make both
adjust--the auto accident case.
- B. In some contexts, it is obvious who is
the lowest cost avoider--so the Pigouvian solution is correct.
But watch out for the Coase+Pigou problem if transaction costs
are low.
- C. In contexts where transaction costs are
low and it is not obvious who is the lowest cost avoider, the
Coasian solution is best--define rights clearly and let the
parties bargain to the efficient solution.
- D. The Coasian approach gives the same
double incentive on the margin as does the double liability
solution I described for auto accidents. My incentive to take a
precaution that saves both me and you costs is the sum of my
savings plus what you will, if necessary, pay me to take
it--and similarly for your taking precautions. So on the
margin, each of us takes account of all costs and so takes all
precautions that are worth taking.
- IX. Property
rules vs liability rules:
- A. The difference:
- 1. Property rule: If I want to use your property I have
to get your permission, and if I use it without your
permission I receive a punishment which may be much larger
than the damage I actually did. In effect, the rule pushes
people into coordinating by mutual agreement, rather than by
unilateral action followed by litigation.
- 2. Liability rule: I can use your property without your
permission and then pay (in the form of a damage judgement
when you sue me) for the damage done.
- B. A liability rule requires the court to
measure the value of what has been taken, damaged, etc., so the
harder it is for courts to measure value, the greater the
advantage of a property rule.
- C. Under a property rule, the only way
someone other than the owner of the property gets to use it is
via a transaction with the owner, to get his permission. So
liability is more attractive the harder it is for parties to
transact.
- D. Consider ordinary private property. A
property rule is clearly superior to a liability rule. If I
want your property, labor, etc. I buy it. The alternative would
be a system where I get groceries by going into the store,
taking them, and having the owner sue me for their
value.
- E. Consider pollution, or risk of airplane
crashes--liability is clearly a superior rule. I can't
contract, before taking off, with all of the people through
whose roofs my airplane might conceivably crash if enough
things go wrong.
- X. Another take:
Its all a matter of information
- A. Consider the RR/Farmer situation with a
fully informed court.
- 1. If you scrape my car and instead of having it
repainted I wait a year until it has rusted through then sue
you for the value of the car, I will lose; the victim of a
tort is obliged to take reasonable care to minimize the
damages.
- 2. So if the court knows that clover is cheaper than
fires, farmers who have fires due to sparks will only be
able to sue for what it would have cost them to switch to
clover--that being the reasonable way of minimizing the
damages.
- 3. The reason this usually does not work in practice is
that the court can observe the fires and the damage done,
but is unlikely to have enough information to figure out the
cost of all the alternative precautions the farmer could
have taken.
- B. More generally, if a court knew
everything relevant to figuring out how people ought to ask
(i.e. what action--spark arrester, clover, checking your car
brakes, driving at exactly 43 miles an hour, operating a candy
factory only for seven hours a day, having a party at the frat
house this Saturday but not next Saturday because next saturday
is the best time for the recording studio next door to tape a
new album, ...) it could solve all legal problems by telling
everyone to do the right thing and hanging those who didn't.
Everyone will obey, nobody will be hanged, so we get the
perfect outcome with no litigation and no punishment.
- C. This is analogous to the central
planning solution to running a society--or the direct
regulation solution to pollution problems. Figure out what
everyone should do and make them all do it.
- D. But since in practice the various
parties to the dispute have private information that the court
does not have, we try to use an incentive system
instead--Pigouvian taxes, Coasian bargaining, or whatever--to
make it in their interest to use their private information to
choose the correct action.
- E. Why don't we solve the whole problem
this way--set up legal rules under which the court does not
have to know anything, because it is in the interest of all
parties to use their information to produce the right
outcome?
- F. Because we don't know how to do it for
the hard cases.
- G. For ordinary markets that is just what
we do. All measures of value are determined by market
transactions reflecting the values of the participants. But
when we have to deal with externalities, public goods,
transaction costs, etc. it becomes hard, and perhaps
impossible, to set up institutions that work this way.
- Third
Week: Insurance
-
- I. Insurance: why it is interesting:
- A. Because one recurring legal issue is who
will bear the costs if something goes wrong-i.e. who is
insuring whom. For example:
- 1. Contracts. Something changes, so either I don't want
to produce what I agreed to or you don't want to buy it. Who
bears the costs resulting from such problems?
- 2. Auto accidents: Who pays for them?
- 3. Product defects and the associated costs. When a coke
bottle explodes, injuring someone, is Coca Cola liable for
the resulting medical costs?
- 4. Wider political issues of welfare, unemployment
insurance, health insurance, etc.
- B. All of these involve the same set of
issues, as we will see.
- C. Starting with straightforward private
insurance, which provides the simplest introduction to the
analysis.
-
- II. Why insure?
- A. In expected value terms, insurance is a
losing deal for the customers-on average, they pay out more in
premiums than they collect in claims. If that were not true,
insurance companies would go broke, since they not only have to
pay claims but also other expenses (salaries, rent,
advertising, ...).
- B. But a dollar is not a dollar is not a
dollar. Insurance may be a bad deal if you are calculating in
dollars paid out and collected on average, but a good deal in
terms of what those dollars buy.
- C. Consider two futures:
- 1. 50/50 chance of $10,000/year or $90,000/year
- 2. or a certainty of $50,000/year
- 3. Which do you choose?
- 4. Why?
- D. Consider the goods you would buy in each
case. The goods you would give up if your income dropped from
$50,000 to $10,000 are probably a lot more important to you
than the goods you would buy if it rose from $50,000 to
$90,000.
-
- III. The economics of risk aversion:
- A. On average, an additional dollar is
worth less to you, in terms of the importance to you of what
you use it for, the more dollars you have. This is the same
reason we were not entirely happy with the solution to
interpersonal comparisons that we used in defining
efficiency-compare value measured in dollars-but this time in
an intrapersonal context.
- B. Where revealed preference solves the
problem of how to measure the difference
- C. And people buy insurance
- 1. because a dollar in the future where their house
burns down is worth more to them
- 2. than a dollar in the alternative future where it
doesn't.
- D. This argument implies that you will
insure against large risks but not against small risks, since
the difference in value to you between the goods you would buy
with an extra dollar if your income was $49,990 and the goods
you would buy with an extra dollar if your income was $50,010
is small.
-
- IV. Von Neumann and Morgenstern formalized this argument as
Von Neumann utility-which is defined in
such a way that individuals, in choosing among alternative
gambles, maximize expected utility rather than expected
income.
- A. The varying value of a dollar shows up
as declining marginal utility of income.
- B. Also known as "risk aversion."
- C. Which does not mean "fear of
uncertainty" but simply "declining marginal utility of
income."
- D. Someone could perfectly well be risk
averse in money (he prefers a certainty of income X to a
lottery whose expected value is X-where X was $50,000 in our
earlier example) yet risk preferring in years of life (he
prefers a 50/50 gamble of zero or 20 years to a certainty of 10
years). He has declining marginal utility of income, increasing
marginal utility of years of life.
- E. the figure below shows that declining
marginal utility of income (the slope of the utility function
becomes flatter as income gets higher) implies risk aversion
(the utility of the average payoff from a gamble is higher than
the average of the utility of the possible outcomes). In the
example shown, the gamble is a 50/50 chance of $10,000 or
$90,000. The utility of the average outcome ($50,000) is
greater than the average of the utilities of the outcomes
.
- V. One problem with insurance: Moral Hazard.
- A. I insure my factory for 100% of its
value, then stop taking (costly) precautions to make sure it
won't burn down. If it does burn, that is the insurance
company's problem, not mine.
- B. Solution-only insure for 80%.
- 1. The result is still inefficient.
- 2. If I can reduce the expected loss from fires by $100
at a cost of $10, I will-since I am saving myself $20.
- 3. But if it costs $30 I won't-and should.
- C. Or have the insurance company mandate
precautions.
- D. We have been here before:
- 1. Moral hazard is another name for an
externality-voluntarily adopted.
- 2. It results in the usual inefficiency
- 3. Mandated precautions are the regulatory solution-but
by someone with a private interest in mandating the right
precautions, which might not be true for the EPA.
- E. Presumably risk aversion gains are worth
inefficiency cost, or the customer wouldn't buy the insurance
policy, but ...
- 1. Not if others bear some of the moral hazard's cost.
- a. Consider auto accidents. If I am carrying
liability insurance, the risk of having to pay for the
damage done by my risky driving will not deter me, so I
will drive more carelessly-harming others.
- b. That does not matter if the legal rule is such
that I end up paying the full cost of my dangerous
driving, but ...
- c. Maybe we should ban auto insurance if we don't
have adequate internalization via damages, fines, etc.
- d. And, in the case of criminal punishments, we do.
It is illegal to insure against them.
- 2. And not if insurance is not the result of a voluntary
transaction:
- a. Either mandatory-as in assigned risk pools. Auto
insurance companies are required to insure the very bad
risks at a high price, but not high enough to make the
insurance companies willing to do it voluntarily.
- b. Or implicit in the legal system, as in legal rules
that you may not contract out of (non-waivable contract
rules) or cannot (tort rules for auto accidents).
- F. In some cases, "moral hazard" is a
feature, not a bug, either because
- 1. We want people to engage in risky behavior that
produces positive externalities. Give cops life and medical
insurance. Or ...
- 2. Because we are transferring the risk to someone more
competent to deal with it:
- a. Insurance company vs employee of large firm.
- i. Company has more expertise
- ii. and better incentives, due to inadequate
bonding of the employee.
- iii. The employee in charge of keeping the
building from burning down skimps on precautions.
Ninety-nine times out of a hundred nothing happens,
and he gets a raise for keeping costs down. One time
out of a hundred the company loses a ten million
dollar factory-and fires the employee. A better gamble
for the employee than for the firm.
- b. I read an article arguing that the failure of this
mechanism was the reason that nuclear reactors have poor
safety design:
- i. In other risky fields, safety engineering
research is produced by the insurance companies that
insure chemical factories etc. and want to know how to
make sure they don't end up paying out a lot of money
due to major accidents.
- ii. Nuclear reactors are largely insured by the
Federal government.
- iii. Their concern is not convincing
experts-safety engineers working for insurance
companies-that they are safe, but convincing
amateurs-mayors and city councils and citizens of
towns where a reactor is to be located-that the
reactor is safe.
- iv. Which is done by having big switches, big
dials, the sort of engineering that is well suited for
science fiction movies but makes it hard for the guy
on duty to actually keep track of what is happening.
- c. Sharecropping-in the case where the landlord is
also providing inputs of capital, expertise, etc.
- d. Note that this is the double incentive problem
again-ideally we would like each of the two (landlord and
sharecropper) to receive 100% of any increase or decrease
in output.
- e. We could do it via a third party risk bearer-but
landlord and sharecropper would then conspire to produce
an inefficiently high output.
- 3. A different way of putting this is that we have been
implicitly assuming that the person who bears the cost if
the legal system does nothing (lets costs lie where they
fall) is also the person best able to control the cost, so
transferring it to someone else increases the inefficiency.
Sometimes it might be the other way around.
- a. Suppose the only way of preventing the problem of
exploding Coke bottles is better quality control by the
manufacturer.
- b. If so, transferring the cost to the manufacturer
solves a moral hazard problem instead of creating one.
-
- VI. The other
problem with insurance: Adverse Selection.
- A. The market for lemons.
- 1. There are two kinds of used cars-cream puffs and
lemons. The potential seller knows which he has; the
potential buyer does not.
- 2. Both would rather own a creampuff, so the price a
buyer will pay for a creampuff (if he knows that is what he
is getting) is higher than for a lemon, as is the price an
owner will require before he is willing to sell.
- 3. Since buyers don't know which they are getting, they
offer a price representing a weighted average of the value
of the two.
- 4. Suppose a cream puff is worth $4000, a lemon is worth
$2000, half of the potential sellers have cream puffs.
- 5. Buyer offers up to $3000, but ...
- 6. That is a good price for a lemon, so all owners sell,
- 7. A bad price for a creampuff, so few owner sell
- 8. So buyers, anticipating that problem, change their
weights and offer only $2500, and ...
- 9. Even fewer cream puffs sell.
- 10. We could end up with only lemons selling-at lemon
prices.
- 11. This is inefficient-because cream puffs are worth
more to potential buyers than to potential sellers, yet are
remaining with the latter.
- B. Possible solutions:
- 1. If everybody knows, no problem.
- a. Require repair records?
- b. Permitting repair records will do, if they can be
authenticated. It is in the interest of someone selling a
creampuff to produce the records that prove it is a
creampuff.
- c. The analogous approach to the AIDS problem is a
reliable ID card, certifying that the bearer was HIV
negative as of a recent test. People who are negative
have an incentive to get tested and show the card-people
who are positive can't.
- 2. If nobody knows, no problem. Not an option here, but
might be in other cases.
- 3. So the problem is asymmetrical information.
- 4. Another solution is for the seller to guarantee the
car.
- a. Which brings us back to insurance
- b. And double causation. Now that breakdowns are
insured against, the owner has less incentive to take
precautions against them.
- c. Ami Glazer's solution to the lemons problem: Find
a car you like; ask the dealer if, for an additional sum,
he will guarantee it. Repeat until someone says yes. Then
buy the car-without the guarantee. The fact that he was
willing to guarantee the car is evidence that he doesn't
expect it to break down-unless he has correctly guessed
your strategy.
- C. Selling life insurance.
- 1. If someone comes into your office and demands to buy
a large life insurance policy right now, you don't
sell it to him
- a. because you suspect he knows something about his
odds of collecting that you don't.
- b. Someone has just taken out a contract on him
- c. Or he tested HIV positive
- d. Or his girlfriend jilted him, and he is planning
to fall off a cliff this afternoon.
- 2. More generally, the customer has some private
information relevant to how likely he is to collect.
- 3. His decision to buy signals you that the private
information is in the direction of making him a bad risk, so
you adjust the price accordingly.
- 4. Note that we apply exactly the same logic when we say
"If you're so sure, what will you bet?" Putting your money
where your mouth is is a form of signalling.
- 5. And betting that you are going to die early (i.e.
buying life insurance) signals that that is what you
believe.
- D. Or health insurance
- 1. You know whether your hobby is reading science
fiction or kickboxing or jumping out of airplanes
- 2. Which is relevant to how good a risk you are
- 3. And your buying signals that you are a poor risk.
- E. Or anything else with asymmetric
information.
- F. Again, the problem disappears if
everyone knows or if nobody knows
- 1. Suppose we can identify people prone to various
medical problems by genetic testing (as, increasingly, we
can).
- a. If nobody knows, there is no adverse selection
problem-both buyer and seller of insurance treat the
buyer as a random individual.
- b. If everybody knows, there is no adverse selection
problem-and people with unhealthy genes pay more for
their insurance.
- c. In the latter case, having unhealthy genes is an
uninsurable risk-because you know how the gamble turned
out before you buy the insurance.
- 2. This is analogous to the economic argument for
welfare. Risk aversion is normally dealt with by market
transactions-buying insurance. But you can't insure against
being born poor, because by the time you are there to buy
the insurance, you already know how the gamble turned out.
- 3. Suppose we forbid insurance companies from
discriminating by gender in the price of life insurance-they
must sell at the same price to men and women, even though
women on average live longer.
- a. Men and women can still use their information
about life expectancy to decide whether to buy.
- b. So we get adverse selection. Men buy too much life
insurance, since they are getting it at less than its
real cost (given their greater chance of collecting
early) and women buy too little.
- c. In this case, we have the effect of asymmetric
information because one side of the transaction is
forbidden from using information that both sides have.
- G. Note also that this is an efficiency
problem, not (only) a fairness problem.
- 1. If you have a cream puff that is worth $3000 to you
and $4000 to me, but it does not get sold because of adverse
selection (I only offer $2000 because I believe that it is
probably a lemon) we are on net $1000 worse off.
- 2. If I get insured at too high a price (because the
insurance company thinks I am a bad risk) that is only a
transfer, but ...
- 3. If I don't get insured because the price the
insurance company charges (knowing that people who buy
insurance are likely to be bad risks) is more than the price
I will pay (knowing that I am a good risk) that is a net
loss.
-
- VII. Application to product liability. Who is liable for damage done by exploding Coke
bottles?
- A. Consider two alternative legal
rules:
- 1. Caveat Emptor (latin for "let the buyer
beware"): You take your good as it is, defects and all. If
the coke bottle explodes, the injured consumer pays his own
bills.
- 2. Caveat Venditor ("let the seller beware"): If
something goes wrong with the product, the seller is liable
for the damage.
- 3. I am treating the distinction as sharper than it
really is. If your wife shoots you with your gun, something
has gone wrong, but the fact that a gun shoots the person it
is pointed at does not generally count as a product defect
even if it happens to have been pointed at the wrong person.
So implicitly we are talking only about some subset of
"things going wrong" that are plausibly associated with
something wrong with the product.
- 4. But that can still be a large and hazy category.
- B. The Coke company can self-insure, the
customer cannot.
- 1. If Coca-cola is selling ten billion bottles a year,
of which one in a million will blow up, they can count on
almost exactly 10,000 exploding coke bottles per year. It is
still a cost, but not much of a risk, since the size of the
cost can be predicted with accuracy.
- 2. So transferring the cost to Coca-cola reduces the
risk aversion part of the cost. Before the change, the
customer faced a very uncertain cost. After the change,
neither party faces a very uncertain cost.
- 3. This only works if the events in question are
independent. One bottle blowing up does not affect the
probability that another one will.
- 4. On the other hand, Coke cannot self-insure against
the risk that legal rules will shift against them. If courts
decide to award much larger damages to consumers injured by
exploding Coke bottles, that will apply to all of the
bottles. Coke (in the U.S.) cannot "average out" futures in
which the courts become more pro-plaintiff against ones in
which it becomes less, the way it can average bottles that
do and bottles that don't explode. It might be able to do
some averaging across jurisdictions-but a very large
fraction of its potential liability is in the U.S.
- C. Moral hazard argument:
- 1. If the relevant margin for control is care in
manufacturing, then liability (caveat venditor)
reduces the moral hazard problem.
- 2. If the relevant margin is careful use by the buyer,
then caveat venditor increases the problem.
- D. Adverse selection argument:
- 1. What do we assume about consumer information?
- 2. If consumers cannot observe quality or judge it by
firm (or product) reputation, then we have a lemons problem
with caveat emptor-everybody produces a below optimal
quality, because a higher quality, being unobservable,
cannot command a higher price.
- 3. A different way of saying this is to consider a
situation where the seller knows how safe the coke bottle
is, the buyer does not.
- a. If he sells me a coke bottle, I don't know what I
am buying (since I don't know the risk of explosion and
do care), so don't know whether it is worth the price.
- b. I buy too much if it is riskier than I think
(since I am underestimating the true price-or, if you
prefer, overestimating the true value), too little if it
is safer than I think.
- c. If he sells me a coke bottle with a guarantee, he
knows what he is selling, since he knows the chance that
he will have to pay off on the guarantee.
- d. And I know the value to me of what I am buying. I
don't know the chance of an explosion-but I don't care,
since he has insured me against that risk.
- 4. If consumers are well informed about average quality
by firm, then caveat emptor is fine from both an
adverse selection and a moral hazard standpoint. No moral
hazard, because Coke has an incentive to provide good
quality control so that consumers will want to buy their
product.
- 5. Adverse selection can also apply on the customer's
side. Under caveat venditor, I don't want to sell a
car to someone who will use it for drag racing, then sue me
when there is an accident.
- E. So far it looks as though we can simply
balance risk aversion, moral hazard, and adverse selection to
choose the optimal rule.
- 1. Either the optimal broad rule- "producers are always
liable," "producers are never liable"
- 2. Or have the court look at the product and decide
which rule is preferable for that product.
- 3. The conclusion seems to be that if consumers are well
informed about average product quality by firm, or can judge
individual products, the optimal rule is caveat
emptor.
- 4. Ditto if the main risks comes from decisions by
consumers (shaking a warm coke bottle up and down while
making a point in an argument-you can't idiot-proof
everything because idiots are so damn ingenious).
- 5. Caveat venditor is the optimal rule if the
consumer is poorly informed both about the individual
product and about the average quality of products produced
by each firm, and the important decisions relative to
accidents are decisions by the firm.
- 6. And the advantage tilts towards caveat
venditor if the loss is large and the producer is much
better able to self insure than the consumer. Note that not
all imaginable cases involve a small buyer and a big
seller-consider GM as a buyer of labor.
- 6. But ...
- F. Litigation cost and insurance:
- 1. So far, we have not been talking about insurance in
the literal sense-we have a Coke company, a customer, but no
insurance companies.
- 2. Why not? Instead of asking whether people want
protection against risk, why not ask whether tort liability
is the cheapest way to produce it? What about ordinary
insurance?
- 3. It has two big advantages, one disadvantage.
- a. An insurance company wants a reputation for paying
out readily; a firm may well want the opposite
reputation. A reputation for being tough might make
consumers less willing to buy the product-but in order to
justify caveat venditor, we must assume that
consumers are poorly informed. A reputation for being
tough makes injured consumers (and their attorneys) less
willing to sue-and tort attorneys may be well informed
about the litigation reputation of the firms they
consider suing.
- b. Risk aversion doesn't depend on whose fault it
was, so product liability is lousy insurance. What if you
get hurt and it wasn't due to a faulty product? You are
better off buying insurance that covers injuries from a
wide range of causes.
- c. Disadvantage-product liability may put the
incentive somewhere useful (on the firm that could take
greater precautions not to make defective products),
insurance doesn't (except to the extent that your health
insurer mails you medical tips, etc.)
- 4. One advantage of letting the loss lie where it falls
is that nobody has to sue anybody, so you don't have any
litigation cost.
-
- VIII. We have been
running through arguments about how to decide whether or not the
law should force Coke to "insure" its customers against exploding
Coke bottles. Why doesn't the law make these calculations for
ordinary insurance, deciding for you whether you are insured or
not?
- A. Because under ordinary circumstances,
you have the right incentive to make the right decision for
yourself. You get risk protection, pay moral hazard plus
administrative costs in the price of the insurance.
- B. Where that is not true, there is an
argument for government involvement:
- 1. Mandatory auto insurance-to make sure that if you
cause an accident, you can pay for it.
- 2. National health insurance-if we believe that the rest
of us won't let you die in the street, so if you are
uninsured and sick we end up paying.
- 3. Or if we think that the adverse selection problem,
which gives an inefficient outcome on the private market, is
sufficiently serious.
- 4. This is a public approach analogous to a group
policy, which is a private way of controlling adverse
selection.
-
- IX. Why not apply the same analysis to tort
liability?
- A. Instead of asking "when should the firm
be liable"
- B. Ask "when will the firm choose not to be
liable although it should be, or vice versa?"
- C. In other words, the alternative to both
caveat emptor and caveat
venditor is freedom of
contract.
- D. Under freedom of contract, the court
sets a default rule, which applies if the parties do not
specify some other rule of liability. But the parties are free
to contract around the default rule, thus setting their own
terms:
- 1. If the default is caveat emptor, the seller
can offer a guarantee, thus shifting the rule (for whatever
sorts of defects the guarantee covers) to caveat
venditor.
- 2. If the default is caveat venditor (malpractice
liability), the buyer can agree to sign a waiver of
liability committing him not to sue, thus converting the
rule to caveat emptor.
- 3. Under current U.S. law, guarantees are normally
enforceable but waivers often are not. You can agree not to
sue your physician for malpractice, perhaps in exchange for
a lower price of service-but if something goes wrong you can
change your mind and sue anyway.
- E. This is an issue that will appear again
and again.
- 1. One reason for legal rules is to fill in gaps that
parties cannot, or do not bother, to fill in themselves.
- 2. A different reason is to compel rules different from
the ones that parties would choose.
- 3. Different sets of arguments apply to the two cases:
- a. "What is the rule that maximizes their joint
benefit?" Make that the default-because if you don't, you
are merely putting them to the trouble of contracting
around the default rule.
- b. "Why is it not in their interest to take the
optimal rule?" That tells you what direction you want the
mandatory rule to alter their behavior in.
- 4.When you are writing waivable rules, "fixing"
inefficiencies due to externalities etc. isn't really an
option, because if you try the parties will contract around
your rule.
- Week 4: Ex
Ante/Ex Post, Strategic Behavior, Etc.
- I. Review: Marginal vs
average.
- A. The diamond water paradox--marginal
value vs average value.
- 1. Marginal Value: Value of having one more gallon given
what you have
- 2. MV times quantity is not total value
- 3. In other words, the value to you have having water is
a lot more than 1000 times the value of one more gallon used
to water the lawn.
- B. What is the cost of cooking dinner for
one person?
- 1. Very low, if it means nine people instead of eight.
- 2. Pretty high (in labor) if it means one person instead
of none.
- C. Two hunters in
the woods. If either or both shoot the third, he is
dead.
- 1. So the marginal cost imposed by B shooting C (given
that A was already doing so) is zero.
- 2. As is the marginal cost of A shooting C (given that B
was doing so)
- 3. But the cost of A and B shooting C is one life.
- 4. The marginals don't add up to the total.
- D. Two drivers--takes two to tangle.
- 1. There are only two drivers in the world.
- 2. If A drives and B doesn't, or B does and A doesn't,
or neither does, zero collision cost.
- 3. If both drive, $100 expected accident cost.
- 4. So the marginal cost of one more driver (two instead
of one) is $100--whichever driver it is.
- II.
Ex Ante,
ex Post:
- A. Consider two different approaches to
preventing auto accidents:
- 1. Ex Ante--laws against speeding, required brake
inspections, laws against DUI, etc.
- 2. Ex Post--tort liability, criminal penalties
for drunk drivers in accidents, etc.
- B. Consider the question of attempted
murder:
- 1. If we are punishing ex post, according to
damage actually done, attempted murder is not a crime since
nobody was killed. The bullet went into a nearby tree--which
is doing fine.
- 2. If we are punishing ex ante, according to the
effects we predict behavior will have on average, then
attempted murder is a crime--shooting at people results, on
average, in killing some of them.
- 3. For a further puzzle, consider the (moral?) question
of why we punish murder more severely than attempted murder.
If punishment reflects desert--what the crime tells us about
the wickedness of the perpetrator--shouldn't the punishment
be the same? Being a bad shot is not a moral virtue.
- 4. What about the case of impossible attempts--trying to
kill someone by sticking pins in a voodoo doll? Should that
be a crime?
- C. What are the advantages of
ex post ?
- 1. Ex post has some of the advantage of effluent
fees over regulation. The court must measure damage done,
but doesn't have to know the relationship between
precautions and accidents--the driver provides that.
- 2. Nor does the court have to be able to monitor
behavior in order to punish its consequences, and thus deter
it.
- 3. The driver
has a lot of private information about costly activities
that are hard to monitor. Driving when sleepy, angry, paying
attention to the conversation instead of the road, ...
- 4. On the other hand, both methods use the driver's
private information about how costly the precaution is (in
that respect, both are analogous to effluent fees), since
with speed limits, a driver can still violate them-and pay
the ticket-if he thinks doing so is important.
- 5. Ex post has the further advantage that
measuring the costs easier after they have happened.
-
- D. Advantages of ex ante ?
- 1. Popular wrong answer: "ex post doesn't prevent
accidents." Sure it does--by deterring them.
- 2. Risk
aversion--do you want to lose your house, all your property,
and be indentured for five years if you make a mistake
driving?
- 3. Other punishment costs--can't collect ten million
dollar fines.
- 4. What can we do that is equivalent in deterrent effect
to one chance in a million of a ten million dollar fine?
- 5. Maybe one chance in a million of execution, or life
imprisonment, or ...
- 6. None of which pay us anything.
- 7. So ex post forces us to use punishments which
are large, and as a result inefficient.
- E. Implication:
- 1. People are risk averse only for large losses. So
small ex post punishments are unambiguously superior
to ex ante.
- 2 So an entirely ex ante system, with no ex
post costs, cannot be the right answer
- 3. We want ex post at least equal to the largest
fine you can pay without serious risk aversion costs.
- 4. Plus possibly some ex ante if that isn't large
enough.
- F. Freedom of contract solution?
- 1. Require insurance for appropriate amount.
- 2. Permit insurance company to impose ex ante
rules as a condition of insuring you.
- III. "Impossible attempts": Should
there be a penalty for attempting to kill someone by a method that
cannot work?
- A. Argument against--we don't mind if
people stick pins in voodoo dolls, so why impose costs on us
and the attempted murderers to prevent it?
- B. Argument for: The legal rule isn't about
voodoo, it is about methods that don't work. There must be some
uncertainty about what methods work, or nobody would use the
ones that don't.
- C. Consider a rational murderer choosing
between voodoo and poison:
- 1. Rational believer in voodoo?
- 2. Why not--we all believe in, and under some
circumstances trust our lives to, things we don't really
understand, and trust because people we trust tell us they
work.
- 3. If he knows it doesn't work, he won't use it.
- 4. If he is certain it works, our legal rule (punishment
for impossible attempts) has no effect, since he is certain
it does not apply to him--and the rule is costly, so why do
it?
- 5. But if he thinks either method might be the one that
works, penalizing him either way helps to deter him. When he
decides whether to try to commit murder, he must take into
account the risk that he will choose an impossible method
and not only will fail, but might be caught and punished.
- D. Of course, another way of providing the
same additional deterrence might be by raising the punishment
for success. But what if raising the penalty on methods that do
work is not an option--we can't hang him twice. We can hang him
once if he succeeds, and lock him up if he fails--even by an
impossible method.
- E. My article on Payne v Tennessee
discusses the ex post
, ex ante
issue in a somewhat different
context.
- 1. Should murderers be punished more severely (for
example, execution instead of life imprisonment) for killing
particularly valuable victims--for example, a mother with
young children?
- 2. If the answer is "yes," that is a form of ex
post punishment--punishment by the damage actually done.
- 3. The alternative is to punish according to what the
court thinks the murderer knew when he committed the
murder--a sort of ex ante punishment.
- 4. In other words, punishing you particularly severely
if the court thinks you knew the victim was likely to be a
particularly valuable one, but independent of whether the
victim actually was particularly valuable (you get the death
penalty for killing someone, because the court believes that
you didn't notice the empty bottle of sleeping pills next to
her).
- 5. The article (not the part assigned) also discusses
some questions about the relation between punishment and
moral desert which are outside the subject matter of this
course but which some of you may find interesting.
- IV. Strategic behavior: The
problem (see my Price Theory
chapter)
- A. Bilateral monopoly.
- 1. Economic example: I have the only apple, worth $1 to
me. You are the only customer, and value it at $2. If we can
agree on a price, there is a net gain of $1 to be divided
between us, with the division implied by the price.
- 2. My six-year-old threatens to throw a tantrum if she
doesn't get her way. Doing so imposes net costs, so there is
a gain to finding some mutually acceptable outcome. Don't
assume you can simply be firm and always win. You may have
thought out the logic of bilateral monopoly bargaining
better than she has, but she has a hundred million years of
evolution on her side--during which offspring who succeeded
in getting a larger share of parental resources were more
likely to survive to reproduce.
- 2. Doomsday machine.
- a. The idea. Lots of very dirty bombs buried under
the Rockies. If the Russians attack, the bombs go off and
the fallout kills everyone on earth. So the Russians
won't attack, and we don't need to pay for nuclear arms.
- b. The reality: Our (and their) nuclear systems were
doomsday machines, with human triggers. They worked, and
therefore were not used--fortunately.
- 3. Bully: If you train
yourself to punch out anyone who gets in your way, and
people know it, they will stay out of your way, and you
don't have to fulfill the commitment--until you run into
someone else following the same strategy, and one of you
ends up dead. A doomsday machine on the individual level.
- 4. In general, the outcome of such games depends largely
on issues of commitment and reputation, which are hard to
include in our analysis.
- B. Prisoner's Dilemma
- 1. Simple: Both prisoners are better off if both keep
their mouths shut, but given what one does, the other is
always better off confessing. So they both confess.
- 2. Iterated. If we play the game multiple times, you
might think that a prisoner would keep his mouth shut one
time, for fear his partner would betray him next time in
revenge.
- 3. Why it doesn't work:
- a. On the last play, no further threats of
retaliation remain, so we are back with the original
game--and both players betray.
- b. But since I know you are going to betray me on the
last play, there is no cost to me to betraying you on the
play before last.
- c. Repeat. The whole series of plays unravels, and we
both betray every time.
- d. It seems intuitively wrong, but logically right.
- 4. Why it does work:
- a. In the real world, we are playing such games an
indefinite number of times
- b. And want a reputation for being people who don't
betray their partners, so that people will be willing to
work with us, and ...
- c. Not betray us, since they want a reputation for
not betraying honest partners.
- d. All of which is hard to model.
- 5. Plea bargaining and armies running away are examples
of multiplayer prisoner's dilemmas.
- a. The defendants would all be better off if none of
them copped a plea, since the prosecutor would have to
divide his limited resources among many cases, and would
get few convictions.
- b. But, given what everyone else is doing, it is in
my interest to accept a plea bargain if it is a little
better than my expected result at trial.
- c. Almost everyone accepts, leaving the prosecutor
enough resources to make the expected result at trial
pretty bad for the defendant.
- C. Economics avoids including strategic
behavior in its analysis wherever possible.
- D. But can't always:
- 1. RR example: throw sparks, despite fines, to get the
farmers to switch to clover.
- 2. Punitive damages example: Beat people up, despite
fines, to get them to do what you say next time (there are
complications which will get discussed later).
- 3. Why do some cases get tried instead of settling out
of court, and thus holding down litigation costs?
- a. one reason is because the two sides disagree about
the likely outcome.
- b. But another is because each side is trying to get
a settlement on its side of the bargaining range--and the
result is no settlement.
- 3. Nuisance suits: Sue in order to settle.
- 4. Strategic imposition of costs: Threaten that if they
don't settle, you will make the trial costly for them--by
requiring the company president to spend three days
answering your questions.
- E. "Solutions." These are discussed at much
greater length in Chapter
11 of Price Theory . The basic
problem is to come up with a clear definition of what a
"solution" to a game is.
- 1. Von Neumann solution to two person, fixed sum
game. A pair of strategies and a value V for the game, such
that if player A follows his strategy he will get at least V
whatever B does (and maybe more), if player B follows his
strategy he will lose at most V whatever A does (and maybe
less).
- 2. Von Neumann solution & the Core are
solution concepts for multi-person games: Each is a solution
concept where one solution can include many
outcomes--perhaps an infinite number. There may be multiple
Von Neumann solutions. There is at most one core--but may
not be any.
- 3. Nash equilibrium: Given what everyone else is
doing, I am doing the right thing--and the same is true for
every other player.
- a. Unstable against cooperation
- b. What the equilibrium is depends on how you define
a strategy.
- c. In the case of oligopoly, does "I adjust, keeping
what everyone else is doing the same" mean "when I change
my output, everyone else keeps his output the same and
sells it for what he can get" or "when I change my price,
everyone else keeps his price the same and sells what he
can at that price?"
- d. The two different definitions of
strategy--quantity and price--give very different
predictions for the workings of an oligopoly.
- 4. Subgame perfect equilibrium. Assume away
commitment. If at any point in the decision tree, someone at
that point would never find it in his interest to make a
particular choice, eliminate that choice from the tree. This
is how we proved that repeated prisoner's dilemma gave the
same result as a single play of prisoner's dilemma.
- 5. None of these solutions is very satisfactory, with
the possible exception of the first--which only applies to a
situation where there really is no strategic behavior.
- V: What is
property?
- A. we take the institution for granted--for
familiar things
- B. But it is a specific kind of rule and
concept, as you can see by applying it in less familiar
contexts. My obligations to you are good only against me, but
your ownership of property is good against the world--everybody
is legally obliged to respect it.
- C. You ask a friend to borrow his bicycle.
Implicit is:
- 1. he can have it back when he wants
- 2. If you give it to someone else, the owner can still
claim it.
- D. You ask a friend for information on a
good dentist.
- 1. He has no right to have it back--to have you stop
using the dentist unless you pay him for the information. Or
even to demand that you give him the dentist's name if he
forgets.
- 2. He has no right against third parties.
- E. A gives you a business idea; you sign a
non-disclosure agreement, etc. You tell it to B who tells it to
C, who uses it. A can sue you, but he has no claim against C to
"have his idea back," assuming C did not induce the
breach.
- F. There is a very partial exception to
this in trade secret law, discussed below.
- G. And a partial exception to the idea that
you can always reclaim your property in the legal rule of
"adverse possession," which implies that if someone else treats
your land, or some right with regard to your land (such as the
right to walk across it) as his for long enough (about seven
years, varying by state) and you do nothing to indicate that it
is yours, it becomes his.
- H. So a recording system becomes important
for maintaining property rights, especially for valuable items
such as land.
- I. And how fancy the property rights
are--to what degree you are free to unbundle them and sell only
part of the bundle--may depend on how easy it is for innocent
third parties to figure out what they are getting. If you
unbundle the tires from a car, the purchaser can learn it by
inspection. But what if you unbundle mineral rights from the
land? The right to decide what color your front door is from a
house?
- J. So for most forms of property other than
land, the bundle of rights is fixed.
- 1. You can sell me your car, along with an agreement
that I will not drive it on Sunday or sell it to anyone who
will.
- 2. But if I resell without requiring the buyer to sign
such a contract, you have no claim against the new owner--he
got the full bundle of rights to the car
- 3. only a claim against me for violating the contract.
- VI: Determining property rules really involves a set of
questions:
- A. How rights should be bundled (Coase
article, next week)
- B. How should you be allowed to defend your
property rights (property vs liability)
- C. What should be property?
- D. We are concentrating on the last at the
moment.
- VII. Property rules--including Intellectual Property (I.P.), primitive
societies, et multae
caetera:
- A. Property vs commons.
- 1. Argument for property is obvious. Why plant if you
can't harvest? Tragedy of the commons.
- 2. Argument for commons? Cost of enforcing and/or
transacting over property.
- 3. English language
as a commons. We could give ownership of every new word to
its inventor, and there would be some advantages to doing
so--but less than the costs.
- 4. From primitives to cyberspace.
- a. When does it pay to define and enforce property
rights in land? Not if you are hunting large animals
across it--the rights you want are in the animals. Yes if
you are planting on it.
- b. Giving away information on the internet vs
charging for it. Porn does the latter, almost everything
else does the former.
- c. A lot EMail is transmitted on an "I'll forward
your packets, you'll forward mine" basis.
- d. All you can eat restaurant as a commons. An
Internet Service Provider with a fixed monthly charge is
a commons too--no charge for additional use. These are
voluntary commons in the middle of private property, so
it can't be just a case of "it didn't occur to them to
treat it as property."
- B.
Boundaries. Floating islands story:
- Stack island, which belonged to someone,
floated down the Mississippi (erosion at the upstream end,
deposition at the downstream end), into a strip of the river
where all islands belonged to the owner of the land on the west
bank of the river. Who did it belong to?
- 1. Property rights would be hard to work with in a world
where that was the norm instead of the exception--where the
boundaries that defined land ownership kept moving in
unexpected and inconsistent ways. Arguably, in intellectual
property it is the norm.
- 2. In patent law--what is the boundary of an idea?
- a. This shows up as the question of what does or does
not infringe a patent.
- b. And in how much you can claim--Morse's 6th claim
was for all ways of using the electromagnetic force to
transmit signs or images to a distance. That includes the
fax machine, the internet, the telephone, .... . The
court denied it.
- 3. In copyright? Not much of a problem defining
boundaries if we if only prevent literal copying, since it
is easy to see if that has occurred. But as you get farther
from that ...
- a. Advertisements using the framework of a popular
cartoon series may infringe its copyright.
- b. The movie Dr. Strangelove seems to have
been based on the novel Red Alert, although with
large changes.
- 4. Wild animals are generally not private property,
because the cost of keeping track of which animal belongs to
whom is too difficult.
- 5. Underground petroleum moves around as you pump some
of it out.
- a.If I pump long enough, and you don't have not
drilled your own oil well and started pumping, I may end
up pu mp out all of your oil as well as mine.
- b. So each of us has an incentive to drill too early
andpump too fast, in order to (at some cost) get the oil