Wojtek,

This is a bit of a muddle.  Ormerod was an accomplished econometric
modeler in Britain.  Built up a business around it, then sold it for
big bucks, so he knows what he's talking about, but you tripped up
in a few places.

>>
His argument can be summarized as follows:

Prediction in economics means translating cause-effect relationships into
equations (cf. y=a+bx where y -represent the outcome x represents the cause
and b is the coefficient specifiying the relationship between cause and the
outcome).  Since outcomes have multiple causes, realty is modeled by a
system of equations each one corresponding to a relatively simple
underlying cause.
>>

No.  A single equation can contain multiple factors which are
thought of as 'causes.'  None of these need be 'simple.'

>>
That multiplicity creates a problem that in linear algebra is called
"underdtermined systems." In plain english, it means that there is not
enough information in the system to find unique solution for all the
equations.
>>

Multiplicity per se has no necessary implication for 'underdetermined'
systems.  What matters is how the system of equations is constructed.
For X unknowns you need X equations, but even then the equations cannot,
to keep terminology simple, be redundant in the mathematical sense.
Too many non-redundant equations, on the other hand, can also be a
problem, since mathematically the system can be over-determined, which
means conceptually the model is not internally consistent.

Your illustration is correct, though its equations only had one
'cause' each.

>>
One solution of the problem involves restricting certain parameters . . .
>>

The more likely solution is to complete the model!
In other words, to fill in the missing equation(s).

The rest of your post is valid, in general.
There are lots of problems with econometrics,
including its practical use.  Ormerod is worth
reading. (another liberal, BTW).

One of my favorite professors, Mancur Olson (a prolific
neo-classical economist), used to tell us that econometrics
never settled anything.  He had little use for it.
Marxists have some models like this too.  I ignore
all of that stuff (Neo-C and marxist), and so do many
neo-classical types.

On the other hand, the business uses of econometrics in
forecasting are typically based on Keynesian models,
hence a better guide to the economy than much of what
is being done in the name of macro-theory.  (I'm told
the new, right-wing theories can't be implemented in
practical forms.)

mbs



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