Sraffa (1960) is an epoch-making book. It is a part of a demonstration that neoclassical economic theory is incoherent and incorrect.
Ian Steedman created a stir in the 1970s. He turns Sraffa's theory against some aspects of Marx's theory of value. He argues that labor values are redundant in explaining prices of production and the rate of profits. This was a novel accusation. He also argues that many analyses, such as the effects of variations in the length of the working day, can be made at the level of prices of production.
Sraffa did not see his book as refuting Marx, either before or after publication. John Eaton wrote a review of Sraffa's book. Eaton was the pen name of Stephen Bodington. Sraffa wrote him a letter, in 1961, after this review. A draft is in Sraffa's archives:
"Dear Bodington,
It was most kind of you to send me through M[aurice] D[obb] an offprint of your article in Societa. I am grateful for this splendid review, which presents the subject in a more lucid and interesting way than I should have thought possible; it certainly sets a high standard for the discussion which I hope it will stimulate [initiate?].
should like to take this opportunity to try and give a brief answer to the question you hint at, when you express some doubts as to the usefulness of the construction of the 'Standard Commodity'. First of all I am convinced that it does represent a real property of the econ[omic] system; and while this could be described in other ways, it should not be ignored, even if it did not find immediate application. It is, however, applied in one or two cases in the book: For instance, in the proof that there is a unique set of all-positive prices in the case of single-product industries. (the proof isn't without importance for the number of sets of solutions is very large, being equal to the number of commodities in the system; if any appreciable proportion of these sets could be all-positive, a large element of uncertainty would be introduced.) Another application is for defining basic and non-b[asic] comm[oditie]s. (This can be done intuitively in a system of s[ingle]-p[roduct] industries, but in complicated cases of multi-product industries, this or some equiv[alent] math[ematical] construction is, I think, necessary.)
There are besides, many possible applications, which I have not mentioned in the book, in problems discussed by Marx. Take, e.g., the determination of a general rate of profits, from the rate of surplus value. Marx takes an average of the rates of profits, obtained from the proportion of the different commodities on the basis of 'values', and he gets, as he acknowledges, an approximately correct result. An exact result could however be obtained by taking, instead of a simple average, a weighted average: and it can be shown that the appropriate weights can be derived directly from the proportions in which the comm[odities] enter the st[andard] comm[odity]. Similarly, in th application of M[arx]'s notion of the comm[odity] produced by 'a cap[ital] of av[erage] org[anic] comp[osition]': for an exact result the average must be found in the same way. In other words, that comm[odity] is the st[andard] comm[odity].
I doubt, however, that it would at the present [time?] be wise to direct the discussion onto these lines.
With kind regards,
Yours sincerely," -- Piero Sraffa. D3.12.111/132
I cite Eatwell (1975) in explaining how the standard commodity is a commodity of average organic composition of capital. It provides a solution of the transformation problem.
In finding the general rate of profits, Sraffa starts with the value rate of profits in each industry. The value rate of profits is the ratio of surplus value to the sum of the value of variable capital and constant capital, with each found in the system of labor values. The rate of profits in the system of price of production is the weighted sum of the value rates of profits, where the weights are a modification of the weights for Sraffa's standard system. This weighted sum is one way that Sraffa draws a connection between labor values and prices of production. I have written about this before. Perri (2023) explains further.
Inasmuch as Marx's solution of the transformation problem is not exactly correct, it can be and has been set right.
References- Enrico Bellino. 2006. Banfi, Eaton, Dobb and Johnson review Sraffa's Production of Commodities. Storia Del Pensiero Economico
- John Eatwell. 1975. Mr. Sraffa's standard commodity and the rate of exploitation. Quarterly Journal of Economics. 89(4): 543-555.
- Stefano Perri. 2023. Sraffa's response to Eaton's review: a note on the standard commodity and Marx's general profit rate.
- Piero Sraffa. 1960. Production of Commodities by Means of Commodities: A Prelude to a Critique of Economic Theory. Cambridge University Press.
- Ian Steedman. 1981. Marx after Sraffa. Verso.