On Tue, 2014-04-15 at 13:53 -0600, Steve Smith wrote:

> I believe that our "common understanding" of such problems as
> gender/race inequalities tends to be too "simple" which might explain
> why progress in the domain is both slow and somewhat herky-jerky.

A master equation for an economic system will be high dimensional.  For
example, every person has assets to track over time.  There are
many-to-many economic transactions that explode the state space.  
Forget about geometry you can visualize.  And a lot of the variables are
not going to be independent.  Time spent at work and time spent with
family will be t and (1-t).  Income will be correlated with t (paid by
the hour).  

To get at gender culture things various stateful things like affinity to
peers and family need to be quantifiable somehow. Are love and hate a
linear scale or logarithmic?  Maybe it is more like a step function?
And how do you validate these system evolution models?   You might be
able to give someone a million dollars but you can't easily take it
away, or spontaneously make a janitor a medical doctor or get most
people to agree to change their sex.  The experiments that would be
illuminating can't be done for practical or ethical reasons.

It's a curse of dimensionality in spades, and only by contrasting
Billions and Billions of different policy systems could one hope to get
good enough statistics to say that a hypothetical master equation was or
was not at work in the real world. 

Marcus


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