What Computer Science Can Teach Economics
eldavojohn writes "A new award-winning thesis from an MIT computer science assistant professor showed that the Nash equilibrium of complex games (like the economy or poker) belong to problems with non-deterministic polynomial (NP) complexity (more specifically PPAD complexity, a subset of TFNP problems which is a subset of FNP problems which is a subset of NP problems). More importantly there should be a single solution for one problem that can be adapted to fit all the other problems. Meaning if you can generalize the solution to poker, you have the ability to discover the Nash equilibrium of the economy. Some computer scientists are calling this the biggest development in game theory in a decade."
There are entire schools of economics that criticize the mainstream schools using this very line of reasoning. IIRC, the Austrian school economists (Mises, Menger, et. al) never use any sort of math at all, except in trying to determine things such as the rate of inflation. There are others, too, but their names escape me at the moment.
SSC
And his teacher, Mises, before him in his work Human Action devoted an entire section of that massive tome to just this very topic: that humans are not equations.
From said tome:
No laboratory experiments can be performed with regard to human action. We are never in a position to observe the change in one element only, all other conditions of the event remaining unchanged. Historical experience as an experience of complex phenomena does not provide us with facts in the sense in which the natural sciences employ this term to signify isolated events tested in experiments. The information conveyed by historical experience cannot be used as building material for the construction of theories and the prediction of future events. Every historical experience is open to various interpretations, and is in fact interpreted in different ways.
The postulates of positivism and kindred schools of metaphysics are therefore illusory. It is impossible to reform the sciences of human action according to the pattern of physics and the other natural sciences. There is no means to establish an a posteriori theory of human conduct and social events. History can neither prove nor disprove any general statement in the manner in which the natural sciences accept or reject a hypothesis on the ground of laboratory experiments. Neither experimental verification nor experimental falsification of a general proposition is possible in its field.
SSC
That does not mean that additional wealth cannot be created without infusion of additional resources.
I know it's counterintuitive for most people with a "hard science" background... I struggled with it as an undergrad. But economics is not a zero-sum game. I give you $150 and you give me an hour of labor. We've both benefited by the trade. If we are really acting freely, we've both benefited (or we wouldn't have engaged in the trade), so we are both wealthier than we were before. This is the fundamental basis of perpetual economic growth... given a free market* in which to pursue trades, wealth increases as trades are made.
* Free as in some-kind-of-approximation-of-an-ideal-free-market, not free as in no-legal-restrictions-on-activity.
"Trolls they were, but filled with the evil will of their master: a fell race..." -- J.R.R. Tolkien on Olog-hai
Well, I'm not surprised there is such school. My impression is, that economists in general don't have a good grasp of math, specifically, they don't seem to understand the exponential function, otherwise they would not speak of "growth" all the time. I'm not saying one should not take human behavior into account, but at least they should get the boundary conditions right, and one of those is that our resources are limited.
Your impression is wrong. Every economist knows about Thomas Robert Malthus and Malthusian economics -- for the pre-industrial era his model best explains demographics and the limits of growth. It only so happened that just after he published his thoughts, the industrial revolution happened and technological progress pushed the boundaries of growth further and further - in an exponential manner.
Would you dare to make an exact forecast where the limits of growth lie? Limited by fossil fuels? Or a single planet's worth of solar energy? Maybe a Dyson sphere's worth of solar energy? Technological progress moves the goalposts rapidly enough that you have to assume exponential growth punctuated by occasional catastrophes - at least for the next 50 years.
No laboratory experiments can be performed with regard to human action.
One of the most profoundly stupid statements ever uttered by an economist. Sure you can't stick the global economy in a beaker and have controls and the other paraphernalia of controlled lab tests, the highest standard of science. But you can experiment with human action at the individual or small group in a controlled lab. It's routinely done these days. There is such a thing as experimental verification and falsification.