Nobody goes there anymore, it’s too crowded.
Dec 11th 2008NiaLLLarkinUncategorized
Its a classic Irish problem. You love that cosy little pub. Especially on a Thursday night. But last time you were there. It wasn’t cosy. It was crowded. Which is a whole different kettle of fish.

And its Thursday again. Should you stay or should you go? Will it be crowded? Will it be cosy? Is everyone else wondering the same thing? Is it possible to second guess them?
A classic Irish problem. One of the great imponderables. And negotiated by a typical Irishman with a happy-go-lucky shrug and the following of a hunch.

Except for this Irishman. W. Brian Arthur, who recognised this as a classic problem of complex adaptive systems. And he wrote a famous and highly influential paper on the subject in 1993. And this class of problem has become known as an EFBP, or El Farol Bar Problem.
After the El Farol bar Santa Fe, New Mexico which was especially popular on Thursday nights when they offered Irish music. Meaning that every Thursday, the people who were considering going to the bar were also left wondering whether or not it would be overcrowded that night.
Arthur used this example to draw attention to a certain paradox of deductive reasoning - of the idea that there always exists a “best solution” that can be determined by logic. The El Farol problem cannot have a standard, generally agreed, “rational” solution. There cannot be one strategy, the best strategy, that everyone can use. If everyone uses the same strategy for deciding whether or not to go to the bar the bar will be either full or empty each night. Everyone would lose all the time.
So in summary: If everyone acts rationally. Then everyone will lose. And the pub will go out of business.
What society needs. Is for everyone to act irrationally, in accordance with whatever personal hunch they have at that time. And then, everything will work out in the end. And society will be able to support a vibrant pub scene. Now this makes perfect instinctive sense to an Irishman. But I can’t begin to tell you what heresy this kind of thinking was to your typical economist.

This kind of situation is one where people want to be on the minority side. Modeling dynamics of situations such as those captured by the ‘El Farol bar problem‘ was a new direction in the context of game theory and this kind of game has became known as a ‘Minority Game’.

Minority Games have implications for our understanding of the phenomena of crowding and herding, bubbles and crashes and any situation where the collective behaviour of agents in influenced by the fact that they have to compete through adaptation for a finite resource.
And while the Irishmen were working on how best to decide which bar to visit on which night, Damien Challet and Yi-Cheng Zhang sparked a lot of attention by applying EFBP to financing, creating a new field of study called “econophysics” in the process.

In the Challet and Zhang financing game, the choice between A and B does not involve going to a bar but selling or buying stock. When one makes financial speculations one has to buy before everybody is crowding to buy (thus driving the price up) and to sell before everybody starts selling (thus driving the price down). Thus, the big winners are always managing to be part of the minority.
There has been a lot of interest in developing the mathematics of this game. The reason for this interest is not only practical, physicists trying to get rich, but also theoretical. The models have yielded surprising features showing under which conditions cooperation appears spontaneously in a group, and the field also proved to be a generalization of the type of game theory simulations modeling the Darwinian evolution.
So there you have it. A common problem. Some lateral seemingly irrational thinking. And a surprising solution. Of wide ranging applicability. Very Irish. Don’t you think?
With thanks to David Lane, a sometimes co-author of W. Brian Arthur, for referencing the Irish connection to “El Farol Bar Problem” during his keynote at the Innovation in Complex Social Systems conference yesterday and to Damien Mulley for getting me a ticket.

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