The Math Challenge: Pundits deny reality by ignoring the math, economists by deploying it.
from Peter Radford
One of the more interesting aspects of the recent election was the exposure of the political medias as being decidedly math challenged. How else do we explain the breathless daily headlines about how Obama and Romney were neck and neck and that the vote was so close no one could possibly call it?
Wrong.
It was crystal clear for a while that Obama was cruising to a significant win.
Yes the margins were close in many states, but the volume of information was such that any errors, and thus the likelihood of the polls being wrong, were capable of identification. Romney could have won, but the probabilities were small and getting smaller.
You would not have known this, though, by reading most newspapers. Right up until the end political pundits were making total fools of themselves by ignoring the hard evidence and clinging faithfully to their softer sources. They cherry-picked data; they quoted ‘informed sources’; they reported based upon their ‘experience’; they adjusted numbers to fit their own biases; they threw darts – or seemed to; they did anything, in other words, to avoid telling the truth. They wanted a close election. Such elections are great fun for pundits. They are exciting to report and generate revenues for the media. The bias against hard facts was therefore overwhelming and understandable.
This is a lot like economics.
Only within the whacky world of economics math is used to get rid of ugly facts rather than to elucidate them.
You would think that after decades of ever increasing math wizardry economics would have produced something of social value. Like an ability to predict the economy so that policy makers can steer the ship without a surrounding fog of confusing and contradictory theories. Or at least a sensible explanation of what’s going on roughly at the same time that it is actually going on rather than a decade or two later.
Nope.
In economics math is used to hide behind. It is used to dig more deeply into irrelevant issues and to sideline the more intriguing, but less tractable issues. You get kudos nowadays in economics for being a clever math whiz, not for understanding the economy. Math virtuosity has become a substitute for thought.
I am indulging in hyperbole of course.
Indeed one of the great triumphs of economics – in my humble opinion – is due entirely to the accumulation of ever more sophisticated and arcane math. This triumph is the total demolition of the Walrasian enterprise and its various offshoots. As embodied in the amazing labyrinth of the Arrow-Debreu general equilibrium machinations, and its even more complicated heirs such as the extraordinary Ptolemaic structures of the thing called Dynamic Stochastic General Equilibrium – DSGE to its friends – math has emerged as crucial.
Crucial that is in proving the utter folly of the entire enterprise.
The elegance of it all is astonishing. The usefulness is zero – despite the protestations of its high priests. For the upshot is resoundingly obvious: such are the contortions of the math needed; the absurdity of the assumptions necessary; and such is the suspension of human faculty required that we can conclude a general equilibrium will never occur, cannot occur, and is akin to a unicorn in its likely appearance here on planet earth. This is a staggeringly important finding. Economics ought to be proud.
Unfortunately unicorns and DSGE still appeal to the imagination. So they linger on in the literature.
The problem is that having trained all these mathematicians, and having run all the other sorts of economists out of town, economics is stuck with its unicorns. It still acts as if they are real.
This is a different kind of math challenge from that faced by the political pundits. But there is a common thread: the denial of reality. Pundits deny reality by ignoring the math. Economists deny reality by deploying the math.
I am all for reality based math. The important word being reality, not math.
































How else do we explain the breathless daily headlines about how Obama and Romney were neck and neck and that the vote was so close no one could possibly call it?
This assumes , doesn’t it, from a probability point of view, that we knew the “true” answer ahead of time.
That is, prior to the election, we didn’t know the outcome – we had estimates.
Since elections occur only every 4 years, and are quite different, it is hard to assign a good error to our estimates; N Silver , lucidrously, gave percentages to 2 significant figures (eg, obama chance of winning 83.2%)
however, my math isn’t very good, and my stats is worse
from other fields, my sense is the way to get out of the math problem is to find a rich patron, and have him endow a Salk Insittute or something similar, and higher Feynman level people , from other fields, to redo math.
the idea is that if you start iwth a small cadre of super high quality people, the installed base can’t say they are inept – i think
A “black swan,” Taleb explained, is an event which is hard to predict!
For example; Viagra, 9/11, Harry Potter, First World War, Beatles, the PC and Google
There is an eminent historical precedent for mathematical calculations being used to support a fashionable theory which was accepted as fact for many hundreds,possibly thousands of years. This was the geocentric theory of the then known universe.
As more accurate observations were made about the movement of stars and planets it became ever more difficult to fit these observations into the popular conception of the Earth being the centre of the heavens. The geocentric concept was adjusted many times with increasingly complex and arcane calculations to make reality fit the theory.
Of course, Copernicus,Galileo and others finally managed to get the message across but not without a lot of resistance. One astronomer was burnt at the stake for heresy.
So,for the majority of Homo Saps,reality is often a hard pill to swallow,especially when it does not accord with the conventional wisdom.I assume that economists are only human,sort of.