John and Jim

Thanks for your necessary correctives to my outburst. I accept all
you say. Certainly, I have no difference with the insight
that the profit acquired by a capitalist as a result of owning
any asset whether or not it has intrinsic value and whether or
not it is productively deployed can be decomposed into two 
components: 

(i) the new value which, as a result of the action of human labour, 
is added to social capital and thereafter added or transferred to the 
individual capital concerned (profit or return on capital)

(ii) the previously existing value which is transferred between
capitals as a result of the action of the price mechanism in
combination with the effects of technical change. (depreciation, 
capital gains, windfall profits and losses) 

I also take John's point about capital-output ratio. I think that 
the issue is commonly conceived in the following terms: since the
physical output per 'unit' of capital is in general increasing as 
a result of technical change, it appears completely paradoxical 
that the (net) value output of capital per unit of value of capital 
should in general decrease as a result of technical change. It 
is an aspect of commodity fetishism that this 'surface' appearance 
is so widely taken for truth. Okishio's theorem for me is the 
mathematically pure expression of this fetishistic view.

In this sense, Marx's analysis is a genuinely scientific insight
inasmuch as it explains the observed fact that the (new/net) value 
output per unit of value of capital *does* decrease even when
there are  favourable changes in the physical proportions 
concerned.

However, this decrease happens under *all* circumstances except
disinvestment in value terms. Sometimes, therefore, the rate
of profit falls with a rising capital-output ratio, and sometimes
with a falling capital-output ratio. I hope this point is not 
lost sight of.

Can I suggest the following formulation: what has been established
is that the rate of profit falls *independently* of the capital-
output ratio? Previous views suggest a connection; there is no
connection - precisely because, under circumstances of rapidly
declining asset values due to technical improvements, the lags
between asset prices at current and historic cost overwhelms
the productivity gains when the rate of profit is arrived at.
Indeed, the very process of technical innovation which lowers 
the current value of all assets, is the same process which produces
the capital loss effect which negates the productivity gains
when expressed as a money rate of profit.

This does not at all rule out the possibility that in actual fact,
output rises in use-value terms in proportion to capital stock
[though I am not quite sure how this could be measured because
of the aggregation problem] while in value terms, it falls.
Therefore John's point is entirely well-taken.

Actually, with regard to the empirical discussion, surely the 
question is this: on the basis of Okishio's theorem, it is quite
remarkable that the rate of profit ever falls at all, never mind
if this fall is persistent.

As far as I can see within Okishio's framework the only possible
reason for a fall in the rate of profit, given cost-reducing
technical change, can be a rise in the real wage. Therefore,
to refute the theorem empirically, one has only to show periods
in which the real wage falls or stays constant, while the rate
of profit falls. This is much easier than showing that the rate
of profit falls throughout history, which frankly I doubt.

There is a lot of empirical work out there which suggests that
on this basis the Okishio theorem is empirically invalid. 

Can I respond with a further corrective: it isn't my intention
to bury Okishio or indeed anyone. Okishio's record as a person is
that of a dedicated and active supporter of the working class. 
He, I am informed, at the time viewed the policy implications 
of his theorem thus: since the rate of profit will rise with 
technical change, there is no reason to hold back the wage 
struggle simply to keep profits up. On the contrary, if 
productivity fails to rise in line with real wages (a neat 
reversal of the usual way this is put) then this must be the 
fault of the capitalists for not investing in new technology. The
theorem thus stands as a justification for trade union struggle
and a refutation of the normal capitalist view that wage rises
must be stopped if profitability is to be sustained.

Now, this argument makes a lot more sense in Japan than it does
in the UK or the US. In the Anglo-Saxon world it was used in
the reverse sense, to establish that the cause of the profit 
squeeze was greedy workers. I think this tends to give us Anglos
a certain edge in our prejudice against the theorem.

Actually, I think the theorem is a mathematical marvel. I
think it is one of the most sublime theorems of the age.

The question to ask is therefore: what faith should we place
in mathematics per se, when such marvellous things are
demonstrably false? This God may be beautiful but is She good?

Kali, perhaps, has two faces.

Alan

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