I  wrote:
>one big problem with the Sraffa tradition (that of reswitching, not
>the early stuff) is that it is highly dependent on the assumption of
>equilibrium. That is, the equilibrium points are knife-edges,
>unstable, which makes them inappropriate for most empirical work. This
>is unlike the neoclassical tradition, in which the assumption of
>smooth curves allows the attainment of a new equilibrium after an old
>one has been disturbed. However, it is appropriate to use Sraffian
>equilibrium models to criticize neoclassical (or other) equilibrium
>models. It is the latter where Sraffa has been most successful.

Paul:
This is an intriguing post with some original thinking.  I am not sure I
have fully grasped what Jim meant (I am no Sraffa-mathematical expert).

As I am sure Jim knows, just before her death Joan Robinson turned against
Sraffian ideas (which she had long promoted).  Along the lines of the
"pure" Keynesian view, she especially criticized the use of equilibrium:
capitalism is inherently in disequilibrium and the Sraffians' equilibrium
didn't reconstruct real historical time, just an artificial logic-based
version (without path-dependence, etc).  Am I right that Jim's critique is
not so methodological as this (i.e. the use of equilibrium per se)?

I totally agree with Robinson on this point, though the concept of
economic equilibrium does play a role: I see equilibrium as only
notional state. There are both forces that push the economy toward
equilibrium and those that push it away from it. (In my dissertation,
I present a growth model in which there is a stable short-term
steady-state equilibrium, but in the medium term, it becomes unstable,
a Harrodian knife-edge. In general, the macroeconomy oscillates in
irregular ways rather than following any kind of steady state.
Kaldor's business cycle model is an exemplar of this kind of
thinking.)

I really don't think Robinson changed her mind on these issues. (The
big change, I guess, happened between her 1933 stuff on monopolistic
competition and her Keynesian work.) Rather, she simply made her
objections to the equilibrium-bound thinking of the Sraffians more
explicit. Before that, for example in her ACCUMULATION OF CAPITAL, she
was always clear that she was discussing parables and unreal cases.
(In a 1941 article on micro theory, "Rising Supply Price" (in
ECONOMICA), she started by saying "It may seem strange at this time of
day to reopen the old familiar subject of diminishing returns and
rising supply price. My purpose is frankly escapist, and what follows
has no relevance to any problem of importance in the real world.")

I am hearing something like this (or have I got it wrong?):  In looking at
the choice of capital technique the Sraffians think of a capitalist who
pages through a book of technical choices and picks the one that will
maximize profits (which depends on the current prevailing wage).  This is
Jim's sharp "knife-edge" type choices.  Neo-classicals think of capital
techniques as "putty", the choices are continuously created as part of the
process so the equilibrium changes appear to be more smooth.
But I haven't followed how this makes the Sraffian view less appropriate
for empirical work?  Is it a practical problem (difficulty in modeling) or
is it a theoretical flaw in the Sraffian view (such as Joan Robinson on
equilibrium)?

The problem of Sraffian models isn't really the empirical part.
Following the neoclassical tradition, you simply have to _assume_ that
the model works and then stick in the numbers (from input-output
studies).  Ed Ochoa, among others, have done these studies.

The problem is that on the theoretical level, the Sraffa model doesn't
deal with transitions between equilibrium states well at all. If you
can't make it from equilibrium A to equilibrium B without spinning
into depression or hyperinflation, you don't have a very good theory.
Sraffa's work is really a _critique_ of neoclassical work, as Michael
Perelman points out (and as Robinson recognized). It's not really a
replacement for the neoclassical model. That's one reason why the
latter model persists in being used. (It's usually not enough to smash
a theory; you need to provide an alternative.)  The neoclassical model
is absurd, but if you're willing to make the assumption that it's
empirically valid, you can crank out results (as with the "new" growth
theory).

BTW, I think that one of the basic lessons of the Cambridge
Controversy is that the only variables that can be truly aggregated
are _monetary_ (nominal) ones. All of the other variables that
macroeconomists use are simply first-approximation "as if" numbers.
Using "real" variables is extremely dependent on the validity of the
deflator used (and the deflator itself can be, and has been, a
political football). (Maybe we should go back to Keynes' use of the
average money wage as the deflator.)

BTW2, as Samuelson noted while conceding the Sraffians' point, it's
possible to produce "reswitching" results (one of the big conclusions
of the Sraffa model) without using the Sraffa model. It can follow
from simple net present value calculations where the stream of
expected future benefits is irregular. Or alternatively, see a little
article I wrote for the Wikipedia:
http://en.wikipedia.org/wiki/Capital_controversy#Reswitching. The
whole article still seems pretty good, not having been destroyed by
interlopers.

Thanks to Jim for the post.

you're welcome!
--
Jim Devine / New Quote Needed! Please submit one!

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