The story of Benoit Mandelbrot's fractal geometry is fascinating in light of the inescapable logic of physics envy. Although Mandelbrot's study of fractals grew out of his work in economics, economists showed no interest in his theories of techniques until they had been deployed by physicists. As one eminent economist explained to him: "No mathematical technique ever becomes prominent in orthodox [read, neoclassical] economic theory without having first proved itself in physics." (Cited in Mirowski 1989,387).
- JB Murphy, The Rational Choice Controversy: Economic Models of Politics Reconsidered, ed. J Friedman
The key idea at the base of microeconomics is exchange: we don't know, objectively, the value of a given product. We therefore say - if two people trade freely, then their preferences have been revealed by their trade. Thence value! And this is, itself, a valuable insight.
This idea works wonderfully in exchange economies, but it does not extend well towards actual economies with production and labor and geography and so on. If people
were exactly, perfectly rational with perfect access to to information, this distinction would vanish (and I should be able to predict the future!). But this isn't so, and it isn't clear how to weaken such conditions - in effect, the model is incredibly strong in isolated areas, but weak in the other ideas that we are interested in.
This is especially frustrating given that there appear to be
some kinds of quasi-causal relationships out there - demand curves generally slope downwards, don't they? We just don't know how they
work, precisely, and an approximate answer isn't enough.