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Prediction Markets: How an Ancient Greek philosopher made his fortune

By Leighton Vaughan-Williams
April 27th, 2009

The Betfair Prof, Leighton Vaughan Williams, tells us how prediction markets might have made it even bigger!

It is for his idea that water is the essence of all matter that Thales of Miletus, the 6th century BC Greek philosopher, is best known. It is for his option trading, however, that he should be at least equally celebrated, as it is the first use of financial derivatives in recorded history.

Aristotle (in part XI of Book 1 of his ‘Politics’) relates the tale.

According to Aristotle’s account, Thales put a deposit during the winter on all the olive-presses in Chios and Miletus, which would allow him exclusive use of the presses after the harvest. Because the harvest was in the future, and nobody could be sure whether the harvest would be plentiful or not, he was able to secure the contracts for a very low price. In fact, we are informed that there was not one bid against him. From the olive press owners’ point of view, they were protecting themselves against a poor harvest by earning at least some money up front regardless of how things turned out.

Thales’ bet came off, big time. The harvest was excellent and there was heavy demand for the presses. Thales held the monopoly and was able to rent them out at a huge profit. Either he was an expert forecaster or he had calculated that a bad harvest would not lose him much in terms of lost deposits, whereas the upside of a good harvest was enormous. “Thus he showed the world that philosophers can easily be rich if they like, but that their ambition is of another sort”, wrote Aristotle.

In effect, Thales had exercised the first known options contract, more than 2,500 years ago. Today we would term it as buying a ‘call option’, i.e. an option to buy something at some designated price at some future date for a fixed fee (or ‘premium’). Put another way, it is an agreement that gives the purchaser the right (but not the obligation) to buy a commodity, stock, bond or other instrument at a specified price (the ’strike price’) at the end of or within a specified time period. When the price exceeds the strike price, the option is said to be ‘in the money’.

Properly used, options can be an excellent vehicle for managing risk. In this example from 6th century BC Greece, the owners of the olive presses were ensuring that they didn’t lose their entire earnings in the event of a bad harvest. From Thales’ point of view, he was confident in his forecast of the harvest, but was still taking some risk that he’d lose all the deposits he’s paid. Today we’d say that he was risking not being able to exercise his call options.

I wonder how Thales and the olive-press owners might have used prediction markets if they’d been available 2,500 years ago. I guess the owners might ’sell’ a market about the size of the harvest. In this way, they would earn a greater return the worse the harvest. And this is what risk management is all about. Thales, on the other hand, would presumably have used his supreme confidence in his forecasting powers to ‘buy’ the market as well as the options and make himself an even richer man than he became.

No need to worry. Thales’ ambition, as Aristotle so aptly put it, was of another sort. Still, the money came in handy!

Professor Leighton Vaughan Williams is the Director of the Political Forecasting Unit and Betting Research Unit of Nottingham Business School, Nottingham Trent University

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Prediction Market Theory: “Can We Predict Earthquakes?”

By Leighton Vaughan-Williams
April 20th, 2009

Following the latest devastating earthquake in Italy, the Betfair Prof, Leighton Vaughan Williams, asks if it’s time for prediction markets to be tested to give early warning in the future…

In a webcast released by the US Geological Survey (USGS) on 20 May, 2008, geophysicist Mike Blanpied noted that “… there’s currently no organization or government or scientist capable of successfully predicting the time and occurrence of earthquakes.” Yet historians writing as far back as 373 BC thought they had it figured out and that it was to do with the behaviour of animals. The case in point was a quake that devastated the Greek city of Helice. Just days before, the reports say, a veritable Noah’s ark of animals, including rats, snakes and weasels simply upped and left.

Move forward now to February 4, 1975, and the earthquake in Haicheng, China, which measured 7.3 on the Richter Scale. This time seismologists issued warnings about the earthquake a day before it took place and ordered evacuations, the first successful earthquake prediction in history. Once again there were reports, some documented in the academic literature, of unusual behaviour by animals ranging from rats and snakes to cows and horses in the days before the quake struck.

Professional seismologists are sceptical, some explaining the successful prediction of the Haicheng quake in terms of a number of small tremors (’foreshocks’) which preceded the big one. Even so, it is common sense that a lot of animals do have their noses close to the ground, and might well detect the first signs of an impending earthquake a little before the rest of us.

The USGS’s Mike Blanpied agrees that on many occasions “… an animal will detect the early arrival of the faint waves that come out first from an earthquake [known as P waves] and become aware that the ground is shaking before the humans around them become aware of the heavier shaking that follows. And so an earthquake may cause animals to react a few seconds or even a minute before the humans nearby.” Not long, but maybe enough time to take elementary precautions before the heavier shocks to come. The problem, of course, is that animals often behave strangely, for any number of reasons, and a quick dive under the stairs every time the cat takes fright does not really constitute an earthquake strategy.

Biologist Rupert Sheldrake, interviewed in 2003 for National Geographic News, is more optimistic about what can be learned from animals in making useful forecasts of impending earthquake activity, and proposes a hotline or web-site where people could post reports of unusual patterns of animal behaviour. This would be analyzed by software designed to pick up abnormal activity from a particular region. The information would be checked, argues Sheldrake, to discount other obvious explanations, and would be used in conjunction with conventional seismological analysis.

So why not go one step further, and construct a well-defined, sophisticated earthquake prediction market? If the information is out there, in whatever form, such a market might be an ideal way of aggregating it so as to produce the best possible forecast. Will it work? Of that we can’t be sure. But with so much at stake, don’t we have some sort of duty to try?

Professor Leighton Vaughan Williams is the Director of the Political Forecasting Unit and Betting Research Unit of Nottingham Business School, Nottingham Trent University

To donate to the Red Cross’ appeal to help the survivors of the earthquake in Italy click here.

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American Idol Predictions: Adam Lambert lead continues to grow in

By Michael Robb
April 14th, 2009

Adam Lambert has a 68 percent chance of winning American Idol according to traders on Betfair, the world’s largest online betting exchange. The 27-year-old’s advantage has grown 14 percent in the last week alone after Scott MacIntyre was voted out.

Only one other contestant on the show, Danny Gokey, has a double-digit chance of winning, currently on 25 percent. Gokey sang ‘Stand By Me’ last week and that’s exactly what the American public did, while Betfair customers think he’ll make it all the way to the final.

It’s bleak news for the other five remaining contestants, none of whom are receiving much support in the betting. It looks like a contest between Anoop Desai and Lil Rounds for who is going to leave the show this week, both currently given less than a two percent chance of winning overall.

Betfair spokesman Michael Robb said: “Support for Lambert has got stronger week-by-week this season, with bettors putting money where their mouths are and backing him to go all the way and win the show.

“As far as the seventh elimination is concerned Betfair customers think it’s the end of the line for Anoop Desai.”

To win American Idol 8 – Betfair Predicts: 68% Adam Lambert, 25% Danny Gokey, 6% Kris Allen, 5% Allison Iraheta, 3% Matt Giraud, 2% Lil Rounds, 1% Anoop Desai

To receive the fewest votes on 14 April – Betfair Predicts: 52% Anoop Desai, 18% Lil Rounds, 14% Matt Giraud, 10% Allison Iraheta, 7% Kris Allen, 2% Danny Gokey, 1% Adam Lambert

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NFL Betting: Full previews for both of Sunday’s divisional play-off matches

By Andy Richmond
January 11th, 2009

NFC east rivals NY GIants and Philadelphia Eagles get it on for the third time, while San Diego go east for a tough one against Pittsburgh.

Sunday’s games continue the rematch theme but more than that they highlight the fact that it’s great defence that usually wins championships, not flair and trickery on offence. Three of Sunday’s defensive units are rated in the league’s top five, so points will be at a premium in Sunday’s games.

Philadelphia Eagles (9-6-1) at NY Giants (12-4)
This looks the toughest game of the weekend with parallels to the Giants’ Superbowl campaign last year when they had to meet the Cowboys on three occasions. This year it’s another NFC East rival who provide the “third” game in the shape of the Eagles. They split the regular season series, but the Eagles did win in NY, and they come into this game on a streak of 5-1 since the loss at Baltimore, which led to QB Donovan McNabb being benched. Did Coach Andy Reid unwittingly use that as a decision to motivate the team? I doubt it, but since that incident McNabb has thrown 10 TD passes and just two interceptions.

More likely it was the return of RB Brian Westbrook that provided the team with fresh impetus and the road win at the Vikings last week underlined how tough a unit this Eagles side, and especially the defence, is. They are going to need to be at their best, as winning at the Giants for the second time this year will be no easy task.

NY have stuttered of late, especially when without two key players RB Brandon Jacobs and WR Plaxico Burress - they are likely to have Jacobs back from injury on Sunday but will be without Burress. His importance to the team is highlighted by this statistic - the Giants scored only 15 points per game in their NFC East matches without Burress but nearly double that (29) with him.

On offence, the Eagles will try to work Westbrook into their patterns in as many different looks as possible. The real key though will be who can use turnover ball effectively, both teams run identical defences and change offensive personnel groups throughout the game. There are no secrets, special plays or blitz calls that these players haven’t seen, so this game will come down to execution and the ability to capitalise on turnovers.

How important are turnovers that result in defensive touchdowns? Last week, three teams scored defensive touchdowns, and all three won. When any of the 12 teams that made the play-offs scored a defensive touchdown this season, they were 41-4.

Keep an eye on the weather too, this game will be played in cold (snow is expected); windy conditions and that will affect the ability to move the ball effectively.

Recommendation: Points at a premium, go under 40.5 at 1.96, Eagles have momentum and in a tight match I’ll take the Eagles plus the points (4.5) at 1.94.

San Diego Chargers (8-8) at Pittsburgh Steelers (12-4)
Weather is going to play an important part in Pittsburgh too and expect similar conditions (snow showers and a wind chill of 26 degrees) when these two bang heads again on Sunday evening. The Steelers won the first meeting this year 11-10 and have some key players back that missed that first contest.

The weather conditions mean that the running game will be ready to take over and although the Steelers have drifted away from the power running game that typified the Bill Cowher era, expect Willie Parker to see plenty of carries on Sunday. The Chargers could be missing star back Tomlinson on Sunday and so will have to rely on his backup Darren Sproles, but he faces a dominating Pittsburgh defence which has not allowed a 100 yard rusher all season. The Chargers could be forced to throw and to do that QB Phil Rivers has to avoid a quick and very effective Steelers pass rush which has become expert at pushing the opposition into third and long situations.

The other reason that the Steelers will be looking to concentrate on their ground game will be the health of QB Roethlisberger - who comes into this game off a concussion suffered two week ago, he will be harried and blitzed by the Chargers on Sunday in a bid to force him into mistakes and I for one have never been impressed by his play selection or decisions in that situation.

Having said all that, the Chargers are 2-11 in Pittsburgh, face yet another clutch game, this will be the fifth in as many weeks and you wonder how long they can maintain the energy and sharpness in tough conditions against a dominating and aggressive Pittsburgh defense.

Conditions are key here and a cold, windy and chopped up Heinz Field suits the Steelers far more than the Chargers, for whom this will be one bridge too far. Pittsburgh may just win by the handicap (-6.5) and have the fans thinking the old Steelers style of pounding the ball and dominating on defence is back.

Recommendation: Unders again at 38.5 is the call; around 1.96 is your price.

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NFL Week 12 Betting: It’s a pivotal weekend in NFL with so much on the line

By Andy Richmond
November 22nd, 2008

Andy Richmond looks at three games where defeat could be fatal…

Every week in the NFL has its own personality and story to tell and the narrative this week is: the rematch. Some of the heavyweights - the Chargers in particular - are on the edge of not making the post-season and the ultimate comeback kings, the Dolphins, in action.

New England at Miami

The Patriots are out for revenge here against a Dolphins team which really have the M word with them at the moment - yep, Mr Momentum is back with the team from the Sunshine State - they’ve won four on the bounce and look to sweep the series against the Patriots. Miami pulled off one of the shocks of the season when they showed up with the quirky “Wildcat” offence in Week 3 and hammered the Pats 38-13 in what was the second start for New England’s emerging QB Matt Cassell as a pro. He’s got better and better by week and is now playing with Brady-esque poise.

He’ll need to have his wits about him on Sunday as the Dolphins bring an extensive blitz package, led by NFL sack leader Joey Porter. Cassell comes here having had his best game as a pro, 400 yards, a trio of touchdowns and in the likely pass-friendly weather of South Florida he could find the porous Dolphins secondary a soft target, especially if he can find WR Randy Moss on a regular basis. He’ll also have his three-pronged rushing attack to take the pressure off and keep the Dolphins “D” honest.

The surprise element of the “Wildcat” offence - which positions one of the running backs lining up in the QB role behind the centre, with the QB split out like a wide receiver - has long gone and Bill Belichick will be well prepared this time round. Despite all the problems he’s had this year, the Patriots will go 7-4 if they win and are capable of making post-season once again.

This is a tough game for both sides and whichever one of these comes out of this with an L in the result column will have suffered a significant wound. The Pats would have lost two games in a row since weeks 9 and 10 in 2006 and they would be seriously hampered in divisional tie-breakers with the Jets and Dolphins. The Dolphins would suffer an enormous dent in confidence with only two home games to come and two further divisional re-matches on their schedule.

So, for me, this is too close to call either way - I’ll hope that we see an offensive game in the warm of the Florida sunshine.

Recommendation: Back over 41.5 match points at 1.94.

Carolina at Atlanta

Another rematch - and Atlanta are right up there with the Dolphins when we talk about teams bouncing back this year. It looks as though the Falcons may fall a little short of post-season play but Coach Mike Smith has not only done an effective job at hiding the team’s weaknesses, he has also maximised their strengths. One of those has been the form of rookie QB Matt Ryan though, one of his few bad games this season came against this dominating Carolina defence.

Defensively, the Falcons need to take away the Panthers running game and force QB Jake Delhomme make plays rather than be gifted them - he’s only completed 17-of-46 passes in the last two weeks. This young Falcons side need to play defence for the full 60 minutes otherwise the Panthers will strike and a win here will almost guarantee them a place at the post-season party.

Steady and consistent, that’s what Carolina are, there’s no razzle dazzle here, but it should be enough to get the job done in Atlanta.

Recommendation: Back Carolina Panthers (+1.5) at 2.0.

Indianapolis at San Diego

Well, we’ve spoken about re-matches, but here come the heavyweights. These two teams were fully expected to make the post-season or possibly be the AFC Superbowl representative. But for San Diego to get there, the Chargers must make this run of three straight home games count - big style - starting Sunday.

Inconsistent is the kind word for the Chargers season, and the sum of all the parts is not adding up at the moment, something is always broken each week.

Only four of the 16 teams that hit the road this weekend have a winning record and the Colts are one of those. Unless the Titans blow up, the divisional title has long gone, so indianapolis are in the unfamiliar position of being in the wild-card scrap. They do however have a lot in their favour this week despite making the trip West.

The Colts are on the back of a three game winning streak, QB Peyton Manning faces the worst pass defence in the NFL. Happily he is healthy again, has his line protection back and sees Shawne Merriman absent for the Chargers. The home team will lack the ability to generate much pass rushing pressure.

Finally, if the Colts get past this game with a victory they are into the very soft part of their schedule, with the likes of Cincinnati and Detroit to come.

I make this game much closer than the odds suggest as the Colts appear to have adopted their business-as-usual ‘game face’ against a misfiring Chargers outfit.

Recommendation: Bold Call Back Indianapolis Colts at 2.28 or take some insurance and back the Colts (+2.5) at 2.06.

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NFL Preview: New York Giants at Philadelphia

By Andy Richmond
November 9th, 2008

The Colts /Steelers contest will be rough and tough but not as tough as this one – and this is almost too close to call as the Giants attempt to handicap one of their divisional rivals in the race for post season.

Currently leading the NFC at 7-1 the current Superbowl champions have arguably improved again this year – the defence under the tutelage of Steve Spagnuolo (ex Eagles linebacker coach) is a dominating and imposing unit and he mixes up his play calling well, although I’m sure he will be keen to put some heat on rejuvenated Eagles QB Donovan McNabb on Sunday.
The Giants sacked McNabb 12 times in this game last year, something that is unlikely to happen this time around but I’d be surprised if Donovan wasn’t hitting the turf on a few occasions.
With the Giants sure to want to play their power game on the ground in the first instance we could see some long dominating drives, which could control the clock – the Eagles run defence which has been shaky on a couple of occasions this season will have to be back to its best here.
When they have the ball the Eagles will need to convert far better on their trips to the “red zone”, the Giants have a tremendous record inside the 20 this year only allowing 5 TD’s – the Eagles may well have to make the most of their opportunities.
With both defenses allowing less than 20 points per game this is going to be a tight, cagy game but with the Giants being so good on the road I’m going to take them to make bold stride towards post season and deal a mortal blow to one of their main rivals.

View the Betfair chart for this game here.

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NFL Preview: Indianapolis vs. Pittsburgh

By Andy Richmond
November 9th, 2008

The Steelers very much hold the edge against the Colts, who have had a stumbling start to the season whereas the Steelers are as solid and dependable as ever and this game sees them start a series of 4 of the next five games at home. Success in all of those would see them seal the divisional title and almost keep them apace with the Titans in the race for the Number One spot in the AFC.

It goes without saying that the Steelers will play with dominating defence led by sack artists LaMarr Woodley and James Harrison, and Colts QB Payton Manning will need to be on quick release duty to his receiving corps, I just can’t see the Colts being able to run on this Steelers “D” at all.

Pittsburgh have doubts at QB where Ben Roethlisberger has a shoulder injury but back up Byron Leftwich did a good job last week in closing out the game and after his four years at the Jags he will be more than familiar with the Colts defence which is bolstered by the return of safety Bob Sanders this week.

Handicaps on the back of the Pittsburgh QB news are scarce this week but I would be confident of backing the Steelers giving up possibly 3.5 or 4.5 points at around 1.9. Expect to see plenty on the ground from the Steelers, especially if Leftwich plays and a ball controlling effort from the Steelers. The Colts haven’t won in Pittsburgh since 1974 and that is set to continue on Sunday.

View the Betfair chart for this game.

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NFL Preview: Buffalo at New England

By Andy Richmond
November 9th, 2008

There’s a three way tie at the top of the muddled AFC East, the only change this year to this division where the Patriots are usually disappearing over the horizon by now. The Bills and Patriots are tied at 5-3 and both come into this game on the back of losses, although arguably the Bills have lost the most momentum recently after their best start to a season since 1995.
Of course, the one major change that the Pats have had to cope with has been the loss of Tom Brady, back up Matt Cassel has had his up and downs but with the Bills pass rush moderate to say the least, Cassel could get the chance to throw some deep balls and if RB Sammy Morris returns then we should see a balanced Pats offence.
With the Patriots winning the last nine in this series the Bills offence will need to improve here, they boast enough speed wide out to pose a threat to the ageing Patriots secondary but with the Bills running game not firing this season, New England may be able to contain the ground game with their base defence and cover dangerous Bills receivers Evans and Parrish downfield.
The Bills are stumbling and their 0-2 divisional record is not going to help them in this tight heat, that record could come back to hurt them come the final reckoning in the AFC East.
With the Bills having four starters missing I don’t expect any change in this result and it looks like the missing starters haven’t filtered into the prices yet.

View the Betfair chart for this game.

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Assessing the Election Forecast

By Koleman Strumpf
November 4th, 2008

With the election upon us, it is worth pausing to think about how we should assess the forecasts.

Perhaps the biggest mistake in reporting about prediction markets is to say that the market “got it wrong” when the underdog wins or conversely to say that the market was “right” when the favorite wins. The market prices should be interpreted as probabilities, and so long as the values are not exactly zero or one hundred then the market traders are effectively acknowledging that there is a chance of an upset.

To be specific, lets take the case of Missouri. The markets say this is currently a dead heat, so it would not be a great surprise if either Obama or McCain wins there.


>> Get a live-updating version of this chart here

While this sounds like the markets can never be wrong, there is a relatively simple way to test the market forecast. If the market prices are in fact probabilities, then the favorite should win 60% of the time when the market price is 60.

While we can only observe each election once, we can test this because there are so many markets on tomorrow’s election (who will be elected? who will win each state? will a candidate win a particular election by more than a certain percentage?). The idea is to group markets which forecast the favorite at a comparable chance of winning. Then the test is to see among all contests where, say, the favorite has a price of 60, is it true that the favorite wins 60% of the time? Again note the key point that if the favorite wins in all markets priced around 60 than the price is not an accurate forecast.

The figure below reports this test for historical markets which I blogged about earlier.

The horizontal axis is the market price and the vertical axis is the percent of times that the favorite in fact won (the data was binned into ten percent intervals so that all elections in which the favorite price was 50-60 are grouped together and reported at price=55; the shaded area are confidence intervals which you can ignore in this discussion).

As you can see, the data in part match the theoretical prediction: for close elections (the favorite’s price is less than 70) the data nearly fall along the forty-five degree line meaning prices match the probability of the event. For cases where there is a heavy favorite (price greater than 70) we see there is a favorite-longshot bias: while the favorite in these cases almost never loses, the markets say there is some chance he will. This kind of bias is also observed in other markets, most notably at the race track.

Take away lessons

There are two main conclusions. First, you should be precise in interpreting how accurate the market forecasts are. Looking at a single market in isolation is wrong and misleading.

Second, can the same kind of analysis be done with other election forecasts? Well in the vase of polls it might be possible but it is difficult. This is because polls cannot be interpreted as the likelihood of one candidate winning. Instead, they report how potential voters intend to vote and then provide a margin of error around that number.

Since the latter is largely done just to account for the fact that only a subset of voters are polled, it is hard to interpret a poll as a forecast probability (unless you make several assumptions). It is far more straightforward to test the accuracy of prediction market forecasts.

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The Power of Objectivity

By Steven Germacher
November 3rd, 2008

Four short years after Barack Obama’s Democratic Convention speech, three popular poll interpreters are forecasting an Obama win in the electoral college—though they’re “all over the map” in terms of the projected electoral college vote count:


Rove & Co.
Obama 311
McCain 160
Toss up 67


RealClearPolitics
Obama 278
McCain 132
Toss up 128


FiveThirtyEight
Obama 332.9
McCain 205.1

Betfair customers, on the other hand, are painting a much clearer, more unified picture.

Keith Thomson at the Huffington Post provides a retrospective on real money betting markets in historic US elections and reminds us that Betfair customers called all 50 state races correctly in both 2000 and 2004.

If real money commercial prediction markets really do tap a dispassionate vein of objective insight that eludes the public, pollsters, media and pundits, we should expect another 50-state sweep of correct outcomes forecasts in 2008.

With one day remaining before the election, let’s pressure test the markets’ prognosticative power by focusing on five battleground states. These races are, according to some of our best analysts, still in play, so let’s see what Betfair markets predict.

Looking at the charts below, it seems clear that Betfair markets have settled the question of how Florida, North Carolina and North Dakota will go, with Florida, the biggest prize, going to Obama.


Florida (27)


Indiana (11)


Missouri (11)


North Carolina (15)


North Dakota (2)

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