Prediction Markets Accurately Predict
by
Michael S. Rozeff
by Michael S. Rozeff
DIGG THIS
As I write
this, the chance of Congress passing a law by December, 2006 that
allows U.S. taxpayers to divert Social Security taxes to private
accounts is about 1 in 100. The chance of Hamas recognizing Israel
by year end is about 8 in 100, and that of a Palestinian state by
year end is 2 in 100. Will the U.S. and/or Israel execute an overt
air strike against Iran by the end of December? There is about a
20 percent chance it could happen (one chance in five.)
All probabilities
are taken from contracts traded on prediction markets run by Tradesports.
I have no monetary interest in this company and no independent opinions
on the odds of these events. Those whose opinions differ and wish
to bet against the market can do so at Tradesports. My interest
in this article is (1) in the uncanny ability of prediction markets
to predict events more accurately than individuals can, (2) what
this fact means for such things as a terror prediction market and
claims that markets are irrational, and (3) what this means for
speculation.
We can dispose
of item #3 quickly. It is easy to find articles urging speculation
in one asset or another predicated on an air strike (perhaps nuclear)
against Iran. The chances of this happening are actually somewhat
lower today than last January. They were quite a bit lower, but
they have been rising as Israeli bombing expands and nears Syria.
The behavior of the odds over time can help someone decide what
or what not to speculate in if he believes that they help measure
the risk that the Lebanon War will spread and worsen. They do.
How do we get
probabilities out of these contracts? Their prices give us that.
Right now, the two main contenders in the National League Pennant
race are the New York Mets and the St. Louis Cardinals. A contract
buyer for a Mets win pays about 34 cents, and if the Mets win he
collects $1. Disregarding interest on money and risk aversion, this
is a fair bet if the chance of the Mets winning is a 34 percent
chance. Then one is paying 34 cents for something worth 0.34 x $1
= $0.34. This is why the price of the contract is, to a good approximation,
the market’s probability of the Mets winning the pennant. The Cardinals
have a 29 percent chance of winning.
Prediction
markets are a form of speculative market in which the contract prices
directly measure the probability that an event will occur.
Political
predictions
Elections are
due in 2006 and 2008. The market expects Republicans to end up controlling
the Senate after the 2006 elections. The probability of Republicans
maintaining Senate control is about 75 percent. (If you bet 75 cents
on the Republicans and they win, you’ll get back $1. If you bet
25 cents on the Democrats and they win, you’ll get back $1.) The
House race is quite different. There the probability of the Republicans
holding the House is 46 percent. That makes the Democrats slight
favorites to win control.
Should the
Democrats, who currently favor Hillary Clinton as their nominee,
run her for office in 2008? Probably not, according to the prediction
markets. At present, frontrunner Clinton has a 42 percent probability
of winning the Democratic nomination, while John McCain leads the
Republican field with a 38 percent chance. There are significant
chances that others may win each of these nominations. However,
at present the market gives Clinton a 20 percent chance of winning
the presidential election and McCain a 22 percent chance. According
to these Tradesports markets, the Democrats would therefore be wise
to look elsewhere for a candidate. Are politicians sneaking a look
at these prediction markets? They should.
Prediction
market accuracy
In an article
in support of rational markets, Mark
Rubinstein relates this story:
"At 3:15
p.m. on May 27, 1968, the submarine USS Scorpion was officially
declared missing with all 99 men aboard. She was somewhere within
a 20-mile-wide circle in the Atlantic, far below implosion depth.
Five months later, after extensive search efforts, her location
within that circle was still undetermined. John Craven, the Navy’s
top deep-water scientist, had all but given up. As a last gasp,
he asked a group of submarine and salvage experts to bet on the
probabilities of different scenarios that could have occurred. Averaging
their responses, he pinpointed the exact location (within 220 yards)
where the missing sub was found."
James Surowiecki
in his book The
Wisdom of Crowds tells the story of the game show "Who
Wants to be a Millionaire" in which a contestant could ask
an expert for help with a question or ask the audience. The experts
were right 65 percent of the time, and the audience was right 91
percent of the time.
Jude
Wanniski related a story told to him by Jack Treynor, a finance
guru. Treynor had his class guess the number of jelly beans in a
jar holding 850 beans. The average guess was within 3 percent of
the total. Wanniski, by the way, correctly realized that this supported
the efficiency of financial markets. He also, in my opinion incorrectly,
construed this as proof of the efficiency of political markets,
an opinion he expanded upon in The
Way the World Works.
Prediction
markets in general perform exceedingly well compared to individual
forecasts. In his article on prediction markets, Philip
O’Connor writes: "In fact, studies of prediction markets
have found that the market price does a better job of predicting
future events than all but a tiny percentage of individual guesses.
The analysis below of the Virtual Super 12 shows the average selection,
an average or constructed market price, to be better than 99% of
participants’ selections."
He continues:
"A short list of other evidence includes the following:
- Markets
that predict elections have been shown to outperform the predictions
of opinion polls.
- Prediction
markets on movie box-office receipts and more obscure events have
been shown to correspond closely with actual outcomes.
- Sports gambling
markets are excellent predictors of actual outcomes.
- Laboratory
experiments demonstrate that markets do the best job of aggregating
information across participants in a controlled setting."
The bits of
information possessed by independently thinking individuals are
aggregated into market price, just as they are averaged into consensus
judgments about jelly beans or correct multiple choice answers.
The resulting outcomes tend to be more accurate than those of the
individuals in the group and often more accurate than experts.
To make this
happen, the individuals should make independent assessments. If
they all get together as a committee, talk things out, and reach
a consensus opinion, we probably will not find this result. People
on committees influence each other in many ways, as anyone who attends
such meetings knows. Anonymity is absent, and information and independent
opinion often are suppressed.
Hayek’s
1945 paper on knowledge and prices begins to explain why prediction
markets predict accurately. Hayek pointed out that knowledge is
diffused among many individuals. It is hidden throughout society
and changes according to particular circumstances of time and place.
Prices aggregate this information. Hayek observed: "We must
look at the price system as such a mechanism for communicating information
if we want to understand its real function..."
Each person
guesses at the outcome of a future event with error or noise. Some
guesses are too low, and some are too high. In a sample of such
independent guesses, the errors tend to cancel out when an average
is struck. And if the outcome depends on many variables that no
one person can assess but which many people might know a little
about, the average will incorporate more variables than any single
person might be aware of. In markets, if some people have better
information than others, they are more willing to bet and bet more
because they are more sure of the outcome. The bottom line is that
prices tend to aggregate and therefore communicate information,
although of course not perfectly.
Markets get
it right, usually better than individuals do. Noise cancels out.
Markets are on target, as much as anyone can be. Submarines get
found. Winning horses get picked. Candidates who win get picked
ahead of time. Predictions markets ignore a good deal of noise.
Speculative
markets
From prediction
markets to speculative markets like bond, stock, commodity, and
foreign exchange markets is not a big jump, even if the speculative
markets do not forecast specific events the way that prediction
markets do. In both cases, diverse people with diverse information
interact to predict the future. The outcome is a price.
Anyone who
thinks that the prices in speculative markets are systematically
or routinely off-base had better seriously consider the evidence
that prediction markets provide superior forecasts of the future.
Anyone who bets against the prices in speculative markets had better
have a good reason why.
Speculation
is very important to make prices reflect information. Some
people win and others lose, but in the speculative process the information
that bettors have about the future is reflected in the prices. Smart
speculators know they are always speculating against an informed
market consensus that reflects all sorts of information, private
and public.
There is overwhelming
evidence, and most mutual fund investors can confirm it, that mutual
funds rarely beat the market for any length of time. They are simply
unable to make a guess about future market prices that is better
than the guesses built into today’s market price. Despite all their
research and focus on speculation, they do not make up an elite
group of speculators who consistently better the markets. This suggests
that speculative markets are like prediction markets. In neither
case can any but a small fraction of people guess (or judge) better
than the market’s consensus guess (or forecast.)
In both prediction
and speculative markets, there are plenty of people making bad guesses
based on little more than hunches. But they tend to lose to the
better speculators and the speculators who have new information.
The latter are more willing to place larger bets and move prices
from day to day if they deviate too far from the values they perceive;
that is, if they see profit opportunities. Markets make mistakes,
for sure. They can’t forecast anywhere near perfectly. However,
they are also very hard to beat because their prices aggregate diverse
information.
Irrationality
Markets prices
are usually hard to understand, simply because they do impound more
information than any single person is aware of or can dig up, even
after the fact. Researchers often don’t know what to make of them.
A substantial contingent of "behavioral" economics and
finance researchers has discovered hard-to-explain prices (called
anomalies) in speculative markets. After a good deal of psychological
research, important parts of which I believe are greatly flawed
(see here),
they have leaped on a new bandwagon, that investors act irrationally.
Much of the behavioral research asks its questions in ways that
elicit seemingly biased or poor answers from human beings. (They
are asked in terms of probabilities.) When the same issues are put
to people in ways that use frequencies, the usual means by which
human beings through the ages have had to approach probability questions
in order to survive, the apparent irrationalities and/or biases
of human judgment vanish.
Behavioral
devotees believe that investors are irrational and that market prices
are irrational. They think that humans have built-in judgment biases
that can’t cope with certain types of problems involving risk. They
ignore the fact that mankind has survived and that its ways of coping
with risk fill a long book. Now law review articles are appearing
that call for more government regulation of financial markets. The
only irrationality in all of this is a warped political system that
supports academics who thrive on publishing novel drivel.
The fact that
the stock markets peaked out in 19992000 is cited in support
of their case. The "irrationalists," the behavioral economics
and finance types, pay no attention to the Austrian business cycle
theory and no attention to Federal Reserve policies. They pay no
attention to the fact that the markets dropped most severely after
President Bush made it clear that Iraq was of paramount importance
to him and that he intended war. They pay no attention to the costs
imposed on corporations by Sarbanes-Oxley legislation. They pay
no attention to the barriers to proper market operations introduced
by the government itself, one of the largest being the capital gains
tax and the capital gains tax holding period, another being the
discriminatory treatment of short-selling and the gains from short-selling.
The government’s taxes discourage the realization of capital gains
and they discourage short-sales, which are taxed at ordinary rates.
But they are
also paying no attention to the glaring fact that prediction markets
accurately predict. This fact flatly contradicts the erroneous notion
that market prices are set by irrational investors.
Terror prediction
market
An agency of
the Department of Defense called DARPA wanted to start a terrorism
prediction market, but Congressional
uproar quickly quashed it. Senator Dorgan called the plan "unbelievably
stupid," and Senator Wyden called it "a federal betting
parlor on atrocities and terrorism." Hillary Clinton said it
was "a futures market in death." Daschle said "This
is just wrong." He thought it provided "an incentive to
commit acts of terrorism." Senator Boxer thought "There
is something very sick about it," and thought the originators
of the plan should be fired. Paul Wolfowitz said "I share your
shock at this kind of program," and Senator John Warner was
quick to obtain assurances that the program would be killed after
obtaining agreement from Senators Pat Roberts and Ted Stevens. Both
Republicans and Democrats were against this innovation. Whether
or not these politicians wished to maintain appearances or cultivate
votes or genuinely were shocked and indignant, which is the least
likely hypothesis, it is obvious that many such markets would diminish
the prerogatives of the powerful and restore more openness to government
and more power to people at large. Naturally, officials viscerally
object to such markets that even hint of a loss of control. They
might even demonstrate that markets are good for something other
than regulating, taxing, and extracting campaign contributions and
favors.
Both Senators
Daschle and Boxer argued that the terror prediction market gave
terrorists an incentive to commit terror acts because they could
make money on them. This is a serious objection to consider. In
the same vein, betting on sports and other contests gives the players
and jockeys an incentive to cheat while participating, to shave
points, throw the fight, etc., but in these cases the racetracks
and owners have incentives to keep the sport clean so as not to
damage their franchises. Sports fans do not want to watch fixed
contests, unless they are wrestling matches. Corrupted television
game shows quickly lose audience. Although terrorists are not interested
in reputation and these arguments do not apply to them, they too
have an incentive. It’s to conceal their plans.
The Senators
overlooked a number of factors that more than meet their objection.
The first is that the more the terrorist tries to profit by his
deeds in the prediction market, the more he raises the price. This
makes public that the terror act has a higher probability. This
raises the chances of discovery and alerts the potential victims,
which in turn lower the expected damage of a terror act. (An increase
in the contract price may call forth preventative measures that
subsequently lower the contract price.) By entering the market,
the terrorist may make money but he also lowers the chance of success
of his act. This restrains his use of the terror market. In fact,
if he wants secrecy, and he must want this in order to succeed,
his primary incentive is not to participate in the prediction market
so as not to reveal his plans.
The second
factor is that the prediction market gives an incentive to anyone,
including those close to terrorists who care more about money than
terrorist success, to ferret out information about possible terrorist
acts. This is analogous to offering a reward to turn in a terrorist.
The third factor
is that terrorists already can profit by their acts using existing
markets in gold, currencies, particular stocks, etc. It is easier
for them to hide their intentions in these larger markets that reflect
more information about other matters than terror. They already have
an incentive to make money from their terrorist acts, and they already
can do this more secretly elsewhere.
Fourth, the
Senators implicitly assumed that only terrorists have information
about prospective terror acts. However, there are all sorts of people
in the FBI and CIA, others doing police work, and ordinary citizens
who actually have information or might have information that they
have an incentive to profit from. If they can trade in a terror
prediction market, their information gets reflected in price. This
is far better than a bureaucratic system of five colors that no
one pays any attention to.
On the last
point, O’Connor observes: "However, there is information that
is difficult to communicate and may be found by fortuitous methods,
or serendipitous information. Take an example of a possible terrorist
attack where the information is extremely valuable to society. The
claim that only terrorists would have information about terrorist
attacks is clearly wrong. There were many stories after 9/11 of
honest American citizens, from FBI agents to flight school instructors,
being aware of suspicious behaviour indicating some type of terrorist
attack. For example, the actor James Woods on a flight before the
9/11 World Trade Center bombings notified authorities concerning
the behaviour of some Middle Eastern men in first class who he thought
were going to hijack the plane. Nothing was done with this information.
Later it turned out that these were actual 9/11 terrorists on a
dry run. A prediction market provides a way for serendipitous information
to be communicated via a market price, instead of through bureaucratic
organisations that often fail miserably to make use of the many
signs that people know about."
Despite the
horror expressed by our noble, educated, and dedicated leaders who
are busy taking this country to greater and greater heights, a terror
prediction market is an idea that entrepreneurs no doubt have considered
and will again consider. Having the government run such a market
is of course the kiss of death. The Tradesports contract on an air
strike on Iran shows that contracts on manmade destructive events
are feasible and valuable. Following this contract enables the public
to better understand and interpret the statements made on both sides
and the various diplomatic and other actions. This contract allows
businesses and others who might be affected by such an air strike
to better plan for the future. No one is saying that this market
provides an incentive for U.S. and Israeli authorities to initiate
an attack in order to make money. If serious planning made such
an air strike imminent, information leakage among the many persons
involved would probably drive the contract price up. This would
provide some warning to the Iranians and others who might change
their diplomatic tune to prevent it. It would inform the public
that such a step was on its way, which would provide a chance to
stop it. For these reasons, neoconservatives may have an incentive
to close down the market. Any such move would chill prediction markets
for a time, but then they’d probably move further offshore.
Prediction
markets have a bright future, as long as states leave them alone.
They can be useful for everything from the introduction of new products
to the success of research and development ventures and even to
predicting terror events or a war’s success. The men and women who
run enterprises and rely on information that filters through hierarchies
can make better decisions with such markets. The benefits in terms
of improved planning for future contingencies are clear. We can
safely predict that we will see more prediction markets.
August
7, 2006
Michael
S. Rozeff [send him mail]
is the Louis M. Jacobs Professor of Finance at University at Buffalo.
Copyright
© 2006 LewRockwell.com
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