I like many was truly amazed by Derren Brown’s recent stunt where he supposedly (as later revealed) used an until now little-known concept known as the Wisdom of Crowds taken from the field of behavioural economics; something which I have recently taken interest in. This man is always amazing and I am aware that he never claims anything more than tricks and illusions.

Is he telling us everything?
Derren has clearly been reading his Surowiecki, and I was interested to see this concept being explained and being publicly demonstrated. I do love these crazy economic theories!
This one is the theory that if a sufficiently diverse and (crucially) independant group of people are asked to make decisions or guesses on problems, the average outcome will be more-or-less intellectually superior to an isolated individual, even an expert.
Even Derren’s initial explanation of the concept drew upon the example taken from the introduction of this book; the example of the average guess of a ‘guess the weight of the ox’ contest at a fayre in 1906. Scientist, Francis Galton conducted statistical tests on all the entries in order to determine the ‘collective wisdom’ of the crowd. Many of these punters were farmers and so could be considered relative ‘experts’ in this game. Of course, there were many others who were ‘ignorant’ and had no insider knowledge. As you’d now expect, after the ox was weighed, sure enough, the crowd as a collective guessed virtually perfectly.
Fine — that’s logical you may expect. Indeed, the Wisdom of Crowds does work; it’s the reason Google works so well, and can pull up the most relevant result first time, and it’s also why you find exactly what you want in stock at the supermarket.
All this sounds fine on the face of it — why can’t you use the wisdom of a crowd to predict lottery numbers? It works in other areas of our life. But my point here is that I think Brown has mis-applied this awesome economic dynamic and taken it out of context to suit his own ends. Without venturing into philosophy (about which my knowledge is almost exactly zero) essentially, I’m questioning the realist epistemological outlook of Mr Brown. What do I mean? Well the wisdom of crowds works well when there is a ‘truth out there’; a pre-existing answer which can be guessed, however [un]intelligently. The weight of the ox for example was not ‘random’ and the answer already existed.
How, then, can this be applied to a yet-to-be-determined sequence of numbers — there is no objective answer which can be tapped into in ANY way prior to the random drawing of the numbers. The weight of the ox had an objective truth, as does the optimal page-ranking sequence of Google, it still has an optimal state which could be known given the right methods.
Derren’s positions appears to be partially that of an empirical realist, that is, one which belives that complex reality can be understood, “but fails to recognise [the] enduring structures and generative mechanisms producing observable phonomena” (Bryman & Bell 2007:18), ie. Derren has failed to recognise that there are forces YET to decide the outcome of the numbers. They are totally independant of the mind of the crowd.
I feel the method employed by Derren is thus incompatiblewith the objective fact that the lottery balls remained un-knowable until the draw and remained subject to deterministic forces until such time; we are forced to conclude that he is not telling us everything and must have been up to something else.
For a start, even if his sample ‘crowd’ were impartial and not plants, they couldn’t have been totally objective and free in thought, because they were gathered multiple times and socialised with each other too much; a condition corrosive to pure independence and diversity of mind (Surowiecki 2005:38) where groups fall into ‘groupthink’ where they increasingly make decisions based on influence of each other and are thus LESS accurate.
Also, I was somewhat less confident in their being genuine at all! Their remarks at the end of the experiment were vague and seemed a little forced and detached. These people just weren’t convincing.
I don’t claim to know much about behavioural economics or philosophy for that matter and to be honest, this probably won’t make sense, but from what I know about the Wisdom of Crowds, this experiment just didn’t sit right. But he’s only an entertainer and an illusionist anyway, right!?

September 17th, 2009 on 7:27 pm
Good article – thought it deserved a comment. Indeed, it does seem that Mr Brown is completely fabricating theories here. The Law of Averages, or Wisdom of Crowds as it were, is only going to work in instances when the collective knowledge of a crowd actually amounts to something more than the collective knowledge of an individual. In the case of the ox, the collective knowledge of a group of people about oxen is going to be more than the individual knowledge of any one person, so the Wisdom of the Crowds could well apply, and is certainly an intriguing theory. Group knowledge of future lottery numbers is going to be a multiple of any individual’s knowledge of future lottery numbers, which is zero. Any multiple of zero is zero, so clearly the theory does not apply. It’s a hoax, but as you say he is an entertainer. In my book that makes him a bad entertainer, but that would be open to interpretation and an entirely seperate debate.
September 21st, 2009 on 4:40 pm
Good article. After just hearing about this trick and reading the idea of “wisdom of crowds”, the criteria for this theory to be successful are not matched by Derren at all. I believe you are indeed right. When people guess the weight of something, they make their judgements on actual knowledge of size and shape which is before them. They are estimating based on reality and not guessing on something which is plucked out of thin air. Their is no valid link between the relationship between everyones guesses or estimates. Alas, for me it comes down to the old saying my Grandmother always said. Believe half of what you see and none of what you hear. He is an entertainer who is very economical with the truth. A convincing liar.
November 24th, 2009 on 12:31 pm
Ah, thank you for this. My children spotted this flaw as well, and although it’s true that Derren is an illusionist, it seems to me a pity to try to confuse the public with stats any more than usual court cases do. I recommend Ben Goldacre’s chapter “Bad Stats” in “Bad Science” which really brings it home “anyone who is going to trade in numbers,use them and think with them, and persuade with them, let alone lock people up with them, also has a responsibility to understand them.”
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