Shane Mage wrote: >  Marx makes it quite clear that the wages of
"socially necessary but unproductive" labor are paid out of [the
circulating portion of] constant capital. While to the individual
capitalist they appear to be a deduction from surplus value, to the
capitalist system as a whole they are part of the overall cost
structure.  ... Thus, because these wages consist of part of the gross
product, the higher their share of the total wage bill the lower the
share of the gross product available to the ownership  class for
consumption and investment, and accordingly the *lower* the rate of
exploitation.<

Does it really matter? there are three ways of treating the wages of
unproductive labor-power (U) among Marxist political economists: (1)
as Shane says, U is part of circulating part of constant capital; (2)
U is part of variable capital (V); and U is part of surplus-value (S).

Let the rate of profit r  = S/(C + V) = (S/V)/[(C/V) + 1], ignoring
the role of fixed capital and differences in turnover time. Let the
rate of surplus-value, s = S/V.

for (1), C becomes U + C1, where C1 is the physical input component of
constant capital. So the rate of profit becomes S/(U + C1 + V) =
(S/V)/[(U/V) + (C1/V) + 1]. A rise in U/V raises C/V and the
denominator of r and thus hurts it, holding (C1/V) and the numerator
constant.

A rise of (U/V) also hurts the numerator, s = (Y - C1 - U - V)/V =
(Y/V) - (C1/V) - (U/V) - 1, where Y is total (gross) value.  This
assertion works only if (C1/V) and (Y/V) are constant.

In this view, the fall in the rates of profit and surplus-value can be
counteracted by a rise in Y/V (what might be called the "value
productivity of productive labor") or a fall in C1/V.

for (2), V is replaced by V1 + U, where V1 is the wages of productive
labor. The profit rate becomes S/(C + V1 + U) = (S/V1)/[(C/V1) + 1 +
(U/V1)]. A rise in U/V1 has exactly the same depressing effect on the
rate of profit as in #1, again holding the numerator and (C/V1)
constant.

Again holding (C/V1) and (Y/V1) constant, the rise in (U/V1) also
hurts the numerator, the rate of surplus value = (Y - C - U - V1)/V1 =
(Y/V1) - (C/V1) - (U/V1) - 1.

Just as for #1, the fall in the rates of profit and surplus-value can
be counteracted by a rise in (Y/V1) or a fall in (C/V1). It seems that
even though the concepts are different, #1 and #2 are mathematically
equivalent. Both treat U as part of costs.

I guess you could get different results if you replaced (Y/V1) with
(Y/[V1 + U]),  (C/V1) with (C/[V1 + U]), and (U/V1) with (U/[V1 +U]).
But these new ratios don't make as much sense to me. The whole idea of
"productive labor" says that we should care about the relative role of
C and productive labor and the value productivity of productive labor.

(3) This is the version that Fred Moseley uses. In this case, S = S1 +
U, where S1 is the surplus-value produced by productive labor. The
rate of profit has to be restated as r = (S1 + U)/(C + V) =  [(S1/V) +
(U/V)]/[(C/V) + 1].

In this case, a rise in (U/V) does not affect the denominator -- or
the numerator. So it has no effect at all on the rates of profit or
surplus-value.

However, Moseley admits that what's important is the "conventional"
rate of profit, which treats U as a cost, not a benefit, to the
capitalist class. That gets us back to either #1 or #2.

Where, then, does U matter? It might matter as part of the
accumulation process (as Adam Smith hinted it might). If capitalist
accumulation out of gross S goes to raise U rather than raising the
wage-bill for productive workers (V1) or expenditure on material
circulating capital (C1). If V1 doesn't rise very much, that limits
the mass of profits (= s times V1). If C1 doesn't rise very much, that
limits the rise of C1/V1 and thus the growth of the value-productivity
of productive capital. Either of these can hurt the long-term process
of accumulation, rather than simply being a matter of fiddling with
formulas.

This last paragraph doesn't quite make sense to me, so any input would help.
--
Jim Devine / "Segui il tuo corso, e lascia dir le genti." (Go your own
way and let people talk.) --  Karl, paraphrasing Dante.

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