[OPE-L:4810] Re: eigen-values

From: Steve Keen (s.keen@uws.edu.au)
Date: Mon Jan 29 2001 - 16:38:46 EST

Hi Jerry,

I think the eigenstate concept Rakesh is referring to is rather different
in spirit from the eigenvalue-vector analysis to which you refer. Matrix
methods do form part of quantum mechanics, but the overall package is quite
a different ballgame from Leontief.

Albert's book is well worth reading for anyone with a passing interest in
quantum mechanics, as it provides a deterministic alternative to the
Copenhagen interpretation of quantum uncertainty--one of many these days,
it seems, but this is the earliest, stemming from the work of Bohm in the

At 04:35 PM 1/29/01 -0500, you wrote:
>In [OPE-L:4808] Rakesh wrote:
>> Just to play around with the analogy to quantum mechanics again (as I read
>> through David Z Albert's Quantum Mechanics and Experience). Monetary
>> measurement forces a collapse of commodities into one of two eigenstates:
>> value or no value. That is, a commodity undergoes a change from one state
>> another in the process of measurement. We can say that inventories can be
>> represented by a superposition of these eigenstates!
>> Of course there are at least two places where the analogy breaks down.
>Andras Brody, in _Proportions, prices and planning_ (Akademiai  Kiado and
>North-Holland, 1970), attempted to apply eigenvalue-eigenvector analysis
>(in the resolution of matrices). In this,  he was heavily influenced by
>Wassily Leontief  (who wrote a short "Preface" in which, among other things,
>he lamented that Marx employed "esoteric Hegelian terminology").
>Although  theories of money and rent are not considered ("neither do we
>enter deeply into problems of technological change" - p. 9),  the
>methodology employed is consistent with  that used by at least some of
>the writers who have employed linear production theory and what Fred
>and you have been calling the "standard interpretation".  (Fred: do you
>Brody claimed that "the eigenequation can represent deterministic or
>causal relations of the sort that the classical economists, Smith, Ricardo
>and Marx, set up. It can also be used in a teleological and optimizing
>approach such as that of the marginalist schools" (Ibid, p. 10).
>Brody's book was widely read (for a mathematical academic text) and
>was influential in the 1970's. Not too many Marxists have referred to
>it lately, though. Indeed, I  can't recall his theories ever being discussed
>in the close to 11,200  (!) posts on OPE-L.
>In solidarity, Jerry
Dr. Steve Keen
Senior Lecturer
Economics & Finance
Campbelltown, Building 11 Room 30,
School of Economics and Finance
s.keen@uws.edu.au 61 2 4620-3016 Fax 61 2 4626-6683
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