transformation problem
Hi,
I've been reading Volume 3 with a reading group far more quickly than is appropriate (I'm very busy), and having got a little frustrated with doing so I started going through the book again and making some general notes. In doing so I spotted (or at least I think I did) what seems to be the source of the debate about the transformation problem in the chapter on the formation of a general rate of profit. As I've said, I've not read this too carefully, and I'm not masochistic enought to want to immerse myself in great seas of equations, but from a fairly cursory look I can't really see what all the fuss is about. Marx has stated repeatedly that he's trying to penetrate 'surface' phenomena through abstraction, and the solution that he offers seems to be just that:
"...This statement seems to conflict with the fact that under capitalist production the elements of productive capital are, as a rule, bought on the market, and that for this reason their prices include profit which has already been realised, hence, include the price of production of the respective branch of industry together with the profit contained in it, so that the profit of one branch of industry goes into the cost-price of another. But if we place the sum of the cost-prices of the commodities of an entire country on one side, and the sum of its surplus-values, or profits, on the other, the calculation must evidently be right. For instance, take a certain commodity A. Its cost-price may contain the profits of B, C, D, etc., just as the cost-prices of B, C, D, etc., may contain the profits of A. Now, as we make our calculation the profit of A will not be included in its cost-price, nor will the profits of B, C, D, etc., be included in theirs. Nobody ever includes his own profit in his cost-price. If there are, therefore, n spheres of production, and if each makes a profit amounting to p, then their aggregate cost-price = k — np. Considering the calculation as a whole we see that since the profits of one sphere of production pass into the cost-price of another, they are therefore included in the calculation as constituents of the total price of the end-product, and so cannot appear a second time on the profit side. If any do appear on this side, however, then only because the commodity in question is itself an ultimate product, whose price of production does not pass into the cost-price of some other commodity."
Hey Mike, is it possible to post the PDF file on Libcom? That would be a valuable resource for many people. thanks for the succinct discussion, as it was quite helpful.
Thus, there seems to be a source of profit different from surplus-labor
sorry if i skipped any bit that explained this, but what would be such a (macro level) source?
Hey Mike, is it possible to post the PDF file on Libcom? That would be a valuable resource for many people. thanks for the succinct discussion, as it was quite helpful.
Unfortunately, I don't think I can. It was an article published in International Journal of Political Economy, which is copyrighted. But if you send me your e-mail address in a private message I'd be happy to send it to you.
There are a number of free papers you can read, available here, which explain the issue clearly. These papers are written by Andrew Kliman, whose book I mentioned in the post above. Really I'd recommend getting the book or checking it out of a library if you're at a university (although they may still not have it since it was published in January), since the best arguments made in the papers on the website are in the book and in general are more informative because of their place in a text that goes through pretty much every aspect of the controversy. As for writings on the website, I think the best introductions to the controversy are the following:
The Production of “Internal Inconsistencies” by Means of Simultaneous Valuation (9 pages long, as basic as these things can be explained)
Value in Process: On the Temporality and Internal Consistency of Marx's Capital (A bit longer, and a bit more detailed.)
The Physicalist Approach To, and Critique of, Marx: A Conceptual History (40 pages but well worth it, very detailed but very clear.)
Quote:
Thus, there seems to be a source of profit different from surplus-laborsorry if i skipped any bit that explained this, but what would be such a (macro level) source?
To be clear, I do think that Marx was correct to view the basis of profit as the surplus-labor of the working class. So these are not my views.
In the theory implied in the models used to criticize Marx, the basis of profit is not surplus-labor but is surplus-product, in the literal sense of "things." For this reason the theory is frequently referred to as "physicalism", which is basically synonymous with Sraffianism, neo-Ricardianism, or the surplus approach (which is the term most generally accepted by its proponents).
Take a very basic example:
A farmer plants 10 bushels of corn at the beginning of the year and harvests 11 at the end of the year. The only capital investment is the 10 bushels of corn, no living labor is used, and no wage is paid.
In the physicalist theory, which is implied in Bortkiewicz' critique of Marx, the profit rate of this example is 10%. Price is irrelevant. The price of corn could be anything and the rate of profit will remain 10 percent. Why? Because in this theory, input prices must equal output prices. The price of a single bushel of corn planted at the beginning of the year must equal the price of 1 bushel of corn planted at the end of the year.
So let's represent the price of corn by PC, and let the rate of profit be R. An equation which would depict the economy would be:
10PC (1+R) = 11PC
In other words, the cost-price (10PC) plus the profit on the costprice (1+R) is equal to the value of the output, which is 11PC.
The PC on both sides of the equation cancel out. We are thus left with:
10 (1+R) = 11
= 10 + 10R = 11
= 10R = 1
= R= 0.1, or 10%
As you can see, the price of corn is immediately canceled out. The rate of profit is 0.1, or 10%, no matter what the price of corn is, and is in fact determined by the relation of the physical input to the physical output. (The rate of physical surplus is also 10%. 1 bushel of corn surplus divided by 10 bushels invested.)
Surplus-value and profit have arisen without any labor being performed. The basis of profit cannot be surplus-value. Instead, it is physical quantities of use-values, and the relation between the input and output of use-values is what determines the rate of profit. (It is no surprise, then, that on the basis of this theory Marx's theory that the rate of profit falls with increasing productivity has been "refuted".)
In Marx's theory, on the other hand, this is what would occur:
10 bushels would be planted, so the input price would be 10PC. No living labor would be used, so the total price of output would be equal to the price of the input (which in this case consists only of CONSTANT capital, which adds no new value to the final product), no matter how much physical output was produced. So if 11 bushels were harvested at the end, their total value would be equal to the price 10 bushels of corn as an input. NO profit would arise, because the price at the end of the process only allows the capitalist to recover the investment made at the beginning. No surplus-labor, and no profit.
Think of this empirically as well. If there were methods of producing commodities at no cost, prices would immediately fall. Think of the constant struggles over patents with software, for example, where because the cost of reproduction is virtually zero once the software has been created, since the software can be pirated at virtually no cost. The only way to counter this is to crack down on pirating and enforce copyright restrictions. (I'm currently writing from a country where the price of software, movies, music, is generally less than a dollar because of the possibility of reproducing the commodities almost for free.) According to the physicalist understanding of capitalism, on the other hand, one might expect that the infinite reproducibility of software would lead to higher and higher rates of profit, since the price of the output would not fall but remain constant.
To be honest, I can't figure out for the life of me what Marx is trying to say in that passage. I've reread it a million times and I still don't know what he's getting at. He makes bizarre statements like "Now, as we make our calculation the profit of A will not be included in its cost-price, nor will the profits of B, C, D, etc., be included in theirs. Nobody ever includes his own profit in his cost-price." This is entirely obvious, since as he admits in the second sentence "nobody ever includes his own profit in his cost-price." It seems to me that Marx is still trying to work out the relation of values and prices at this point in the manuscript.
That passage almost seemed to make sense to me last night, so I’ll try and spell out my understanding of it (and in doing so will doubtless indicate my misunderstandings).
Marx has said that the sum total of the production prices of all commodities in society must be equal to the sum total of their values, as production price is an average distribution of the total profit amongst the different capitals. But the value of one capital is partly derived from the price of production of another, and thereby the profit of another. This would mean that the value to which profit is added already contains profit. If we were then to look at the sum total of prices of production and the sum total of values we would seem to have a problem, in that the values must incorporate the prices of production.
The problem is solved by abstraction:
“But if we place the sum of the cost-prices of the commodities of an entire country on one side, and the sum of its surplus-values, or profits, on the other, the calculation must evidently be right.”
In actual fact cost prices incorporate profit – but if we take all the capitals in society and place them alongside each other, the sum total of the production prices must be equal to the sum total of the value produced.
For instance, take a certain commodity A. Its cost-price may contain the profits of B, C, D, etc., just as the cost-prices of B, C, D, etc., may contain the profits of A. Now, as we make our calculation the profit of A will not be included in its cost-price, nor will the profits of B, C, D, etc., be included in theirs. Nobody ever includes his own profit in his cost-price.
In making our calculation we place A,B,C and D alongside each other. Whilst the cost price of A may include the profit of B,C and D, in doing this calculation we abstract from that fact as we’re looking at them all together, simultaneously, taking all their cost prices as given in order to arrive at their profits. If I’m A and I end up buying raw material from D I won’t take into account the fact that the cost of D may incorporate my own past profits.
Anyway, as regards the passage you quote:
We’ve established by this point that value is distinct from prices of production. We’ve also seen that prices of production become cost prices. This means that cost prices are not, as was previously assumed, directly equivalent to value, but rather depart from value. Now, this is clearly a stupid thing for me to say, as so much ink has been spilled over this issue – but I still don’t really see the problem. The cost of my means of production may very well not be equal to their value – but what does that change? As far as I am concerned I’m still spending X on constant and Y on variable. The value of X may be in fact be Z – but isn’t this passage intended to show that there is yet another layer of appearance and illusion obscuring the real source of value? If this cost price is equated with value ‘it is always possible to go wrong’ in that the source of value production is conflated with price. As far as the capitalist is concerned, all he's worried about is what he has to pay:
For no matter how much the cost-price of a commodity may differ from the value of the means of production consumed by it, this past mistake is immaterial to the capitalist. The cost-price of a particular commodity is a definite condition which is given, and independent of the production of our capitalist, while the result of his production is a commodity containing surplus-value, therefore an excess of value over and above its cost-price.
Marx continues:
“
As a general rule, the principle that the cost price [previously assumed to be equivalent to value] of a commodity is less than its value has been transformed in practice into the principle that its cost price is less than its price of production.”
Price of production departs from value, meaning that cost price must also depart from value. This would be a problem if price of production was derived from a cost price that differed from value. But price of production is not derived in that way, and is rather derived from value by means of the abstraction described above. Because the sum total of the value produced is equal to the sum total of production prices, as far as the total social capital is concerned we are still essentially looking at a total cost price that equates to the total value and a total production price that equates to the value produced.
I don’t doubt for a minute that I’m completely wrong here, but it really doesn’t seem to be the killer blow to Marxism that it’s often presented as. Anyway, I’ll PM you as I’d be interested to read the text that you mentioned.
Just quickly:
A farmer plants 10 bushels of corn at the beginning of the year and harvests 11 at the end of the year. The only capital investment is the 10 bushels of corn, no living labor is used, and no wage is paid.
Two things:
1. this example is used by Henry George in "Progress and Poverty" - written almost at the same time as Capital. It's a pretty interesting book (ends up arguing for a tax on the full rental value of land).
2.
no living labor is used, and no wage is paid
A farmer plants 10 bushels of corn at the beginning of the year
Planting is labour, as is harvesting.
Just quickly:Quote:
A farmer plants 10 bushels of corn at the beginning of the year and harvests 11 at the end of the year. The only capital investment is the 10 bushels of corn, no living labor is used, and no wage is paid.Two things:
1. this example is used by Henry George in "Progress and Poverty" - written almost at the same time as Capital. It's a pretty interesting book (ends up arguing for a tax on the full rental value of land).
This is interesting. Does he derive any conclusions regarding labor and value, or surplus-labor and profit?
I think almost all classical political economists were working with some kind of corn model. A good example of this is Marx's critique of Torrens in Theories of Surplus-Value. Torrens argued that if you plant 100 bushels of corn, and up with 120, the rate of profit is 20%, because the surplus is 20 bushels divided by the capitalist investment of 100 bushels. This is just like the physicalist theory I described above: price is irrelevant, physical quantities determine profit. Marx thought this notion was ridiculous given that it is entirely conceivable that the 120 bushels of corn is worth no more than, or even less than the 100 bushels planted initially (because we're dealing with two different points in time, and price can fall over time). If the 100 bushels of corn planted is worth $100, and the 120 bushels harvested is $100 because the price per bushel has dropped, the profit is not $20, but 0.
2.
Quote:
no living labor is used, and no wage is paid
A farmer plants 10 bushels of corn at the beginning of the year
Planting is labour, as is harvesting.
This is getting too bogged down in the details of the example. Certainly the example is not realistic. But change it around, if you'd like, to 10 machines that produce 11 identical machines of themselves, with no living labor.
In any case, the amount of profit would not vary with the amount of living labor, because the living labor could be the same in each example (say, approaching zero) while the profit and rate of profit vary only with differences in physical productivity. Clearly labor is not determining anything here. In this view of the capitalist mode of production, labor is irrelevant and there is no special sense in which labor is exploited.
By the way, there is a funny example in a footnote in Vol. 3 of Capital where Marx mentions an economist who claims that the rate of interest is determined by physical surplus. The economist says something like "if in a forest the growth rate of trees is 10%, the natural rate of interest in this case is also 10%." Marx jokingly refers to this as (paraphrasing) the "primordial forest rate of interest." He apparently thought such an idea was entirely absurd. I agree.
SIMCP,
It's hard to follow this for me unless you give a simple numerical example. What you say seems to be an accurate rephrasing of what Marx said, but I'm still not clear on what Marx said, so I'm not entirely clear on what you said.
How are you suggesting that value is formed? (I.e. by what components.) My impression is that you are saying that the value of a commodity is represented by k+s , where k is the sum of the VALUE of means of production plus the VALUE of means of subsistence consumed by workers, and s is surplus-value? And the price of production of a commodity is k'+p, where k' is the sum of the PRICE of the means of production plus the WAGE paid to workers (i.e. the PRICE of the means of subsistence) plus the average rate of profit (p)? Or is this a misrepresentation?
If that's not a misrepresentation, then I think you run into problems if you'd wish to retain Marx's theory of the transformation of values into prices of production. As I noted above, Bortkiewicz showed that if you disconnect values from prices in this way, by making values depend only on values and prices depend only on prices, you cannot have the two aggregate equalities together (total surplus-value= total profit and total value=total price), and the rate of profit in terms of value is different from the rate of profit in terms of price (the same is also true of the rate of surplus-value).
In this case, you have to choose: does total price equal total value, or does total surplus-value equal profit (since both cannot hold true simultaneously)? If the former, then total surplus-value and total profit cannot be equal, and we must ask where the excess profit above surplus-value comes from, if profit is greater than surplus-value, or if profit is less than surplus-value, where does the surplus-value greater than profit go? If, on the other hand, you say that total surplus-value equals total profit, then total price and total value cannot be equal. Where does the excess of price above value come from (provided that total price is greater than total value), or if total price is less than total value, where does the excess value go? There is a problem of appearing and disappearing surplus-/value.
I do think that these pose serious, even fatal, problems for any Marxist who would like to say that values depend only on values and prices depend only on prices. If profit is not determined by surplus-labor then a huge part of Marx's theory falls down. (For example, the bulk of Vol, 1, which deals with this surplus-labor and its importance, large parts of Vol. 2, which deals with the circulation of this product of surplus-labor, and of course large parts of Vol. 3 which deal with the supposed distribution of this surplus-labor among the different sections of the capitalist class.)
Also, it is not Marx's supposed "admission of error" that is presented as a killer blow to Marxism, but rather what happens once the "error" is "corrected". Notice the 4 peculiarities I pointed out in an above post about just what happens once the supposed error is "corrected." These are what are presented as a blow to Marx.
BTW, I think the "solution" is rather simple: values and prices have the same cost-price, which depends on the prices of the means of production consumed, plus the wage paid to workers. In other words, value itself depends partly on past prices. This is why Marx represents the value of a commodity as k+s, and the price of production of a commodity as k+p : cost-price is the same in both equations.
Once this is accepted, then Marx's conclusions about total price and total value, and total profit and total surplus-value, hold true, as does his claim that the aggregate rate of profit is equal both in terms of value and price. (The paper I'm going to send you gives quite a bit of textual evidence that this was in fact Marx's solution to the conundrum that previously faced the law of value.)
Regards,
Mike
Thanks again for that text - I've not looked at it yet, but from skimming through the first few paragraphs it looks to be very useful.
OK, I'll try and rephrase some of what I was trying to say. I'm not sure that I can give numerical examples though, as it seemed that the point of what Marx was saying was that in order to distinguish profit from cost price one must consider the total social capital in abstraction.
In chapter nine, shortly after the presentation of those two tables, Marx writes the following:
First, he invites us to imagine that capitals 1 - 5 are all owned by the same person (this is on p.259 of the Penguin edition). If they are all owned by the same individual, the variable and constant capital costs would be a given, as we would know how much he's laid out on costs. Cost price is given, and we know that the commodities must at the very least be sold at this price in order for the capitalist to recoup the money that he's spent.
Now, the cost prices for each of the different types of commodity produced (by the five different capital investments) would each be different, as each one involves a different amount of constant and variable capital. But as each of these capital investments are owned by this one person, the profit produced by all five would be considered as a profit on the total capital that he originally advanced. This profit is then distributed across the five different capital investments in terms of their sale price. No need for numerical examples here - the tables that Marx gives do just that, and all that is required is that we imagine that each capital is owned by one person.
The upshot of this is that the total value produced by all five capitals, plus the value of past labour employed by them all, equals the sum total of the prices of production - as the prices of production are the original cost prices (variable plus constant capital), plus the total surplus value produced.
So, we started off with five capitals owned by the same guy. We knew the cost prices. We saw how the total profit of the five capitals is distributed across them, giving their prices of production (the cost price of the commodity plus a share of profit. In doing so, it was established that “the total price of commodities I-V wuld thus be the same as their total value, i.e. the sum of the cost prices I-V plus the sum of the surplus-value or profit produced; in point of fact, therefore, the monetary expression for the total quantity of labour, both past and newly added, contained in commodities I-V.”
He now states: “…in the same manner, the sum of prices of production for the commodities produced in society as a whole – taking the totality of all branches of production – is equal to the sum of their values.”
Now, he points out that there is a problem here – as the cost price of one commodity incorporates the profit of another. It’s just been stated that the sum total of the prices equals the value produced, but this would seem to lead to an infinite regress, as these prices are constantly being added to as they provide the basis for further value production.
He attempts to solve the problem by a move that is very similar to the previous one, in which he invited us to imagine that the five capitals were owned by one person. We’re now asked to do the following: “But if the sum total of the cost prices of all commodities in one country is put on one side and the sum of the profits or surplus values is put on the other, we can see that the calculation comes out right.” We’re being asked to imagine an impossible situation in which the interrelation of society’s capitals is frozen, separated out and placed alongside each other so that we can look at then all as single capitals with given cost prices, each of which is producing a particular amount of profit. In doing so we are able to determine the average profit rate, and thereby the prices of production for society (I have no idea if this is in any way feasible in terms of actually studying real data). He then illustrates this with the examples of capitals A,B,C and D.
Now, as regards the passage on the transformation proper: we've seen by this point that the price of production of a given commodity does not correspond with its value (although if we take all commodities together their prices of production will match up with value - the point is that the profit, the surplus value produced, is distributed according to averages rather than the real surplus value em,bodied in the commodity).
We've also seen that the profit of one commodity is part of the cost price of another, so Marx writes the follwoing: "As the price of production of a commodity can diverge from its valule, so the cost price if a commodity, in whihc the price of production of other commodities is involved, can also stand above or below the portion of its total value that is formed by the value of the means of production going into it."
...but as far as the individual capital is concerned, all that is important is the cost price, which will not correspond with value. If we were to look at all capitals in society in abstraction we would see that value matches up to price of production, but in these individual circumstances it won't for the reasons given above.
SIMCP,
I went through the chapter again and I have a preliminary answer to what I think Marx is doing in that passage.
But first a response to this statement:
OK, I'll try and rephrase some of what I was trying to say. I'm not sure that I can give numerical examples though, as it seemed that the point of what Marx was saying was that in order to distinguish profit from cost price one must consider the total social capital in abstraction.
This is a response that many Marxists gave to the Sraffian critique of Marx (most notably Paul Mattick, Sr. in his critique of Paul Samuelson). I don't think it can be sustained. First of all, Marx himself gave quite a few numbers in his transformation procedure, so as an interpretation of Marx it doesn't really make sense. Even in the specific passage you quote Marx uses variables to represent certain mathematical relations between quantities of surplus-value, profit and cost-price.
Secondly, central to Marx's theory are the claims that in the aggregate, surplus-value equals profit and price equals value. This is a definite quantitative claim. And since cost-price is equal to price minus profit, given the two aggregate equalities we should be able to ascertain aggregate cost-price.
This is not to say that Marx's theory can be reduced to quantitative equalities but it is undeniable that these aggregate equalities are very important in Marx's theory (since it is only by means of them that Marx is able to reconcile the law of value with the appearances of capitalist production).
As for the passage and its relation to the rest of the chapter, I've come to the conclusion that in the passage you refer to at the top, Marx going through one possible way of separating values and prices. Marx first tries to separate the profit which lies within the cost-price of commodities from the rest of the cost-price. In other words, he is going in the direction of trying to ascertain two distinct cost-prices: one which presents itself to the capitalist, as a sum of prices, and a distinct value-cost-price which is based on the value (rather than the price) of the means of production and subsistence consumed.
But later Marx comes to the conclusion that cost-price cannot be treated in this way, it must be taken as a given money magnitude (i.e. the wage paid to the worker plus the money paid to attain the means of production):
The foregoing statements have at any rate modified the original assumption concerning the determination of the cost-price of commodities...It is necessary to remember this modified significance of the cost-price, and to bear in mind that there is always the possibility of an error if the cost-price of a commodity in any particular sphere is identified with the value of the means of production consumed by it. Our present analysis does not necessitate a closer examination of this point. It remains true, nevertheless, that the cost-price of a commodity is always smaller than its value. For no matter how much the cost-price of a commodity may differ from the value of the means of production consumed by it, this past mistake is immaterial to the capitalist. The cost-price of a particular commodity is a definite condition which is given, and independent of the production of our capitalist, while the result of his production is a commodity containing surplus-value, therefore an excess of value over and above its cost-price.
Notice that the statement that "the cost-price of a commodity is always smaller than its value" would NOT be true if there were two separate cost-prices. Imagine a case where the value of the means of production consumed plus the value of the means of subsistence consumed were $50, while the price of the means of production consumed plus the wage paid to the workers were $100 (the difference of $50 being due to divergence of value from production price, such that value was significantly less than production price for these commodities).
Now suppose that 1 hour of labor produces $1 of value. 10 hours of labor are used, so $10 of value are produced.
In this case, the value of the commodity ($50 value of means of subsistence/production + $10 living labor) would NOT be greater than the cost-price of the commodity ($100). It would be $40 less.
Since this simply doesn't make sense, and Marx would have contradicted himself if he had assumed that there were two different cost-prices, we must conclude that he is saying that the two cost-prices are identical: the value of a finished commodity (partly) depends on the price of the means of production being used in its production. (This, of course, isn't the only evidence for this interpretation. There is much more presented in the article I sent you as well as the Kliman essays I posted above, as well as the Kliman book.)
You said:
It’s just been stated that the sum total of the prices equals the value produced, but this would seem to lead to an infinite regress, as these prices are constantly being added to as they provide the basis for further value production.
This isn't correct, it you mean this to show the impossibility of adding value (due to living labor) to a cost-price which itself includes profit. The cost-price (which includes profit) is taken as a given precondition. It does depend on past prices. But this doesn't actually cause any problems. All theories depend on given preconditions. In Marx's theory, past prices are one of his given preconditions. There is no reason to rule out past value-distribution affecting future value-distribution.
Regards,
Mike
BTW, I think the "solution" is rather simple: values and prices have the same cost-price, which depends on the prices of the means of production consumed, plus the wage paid to workers. In other words, value itself depends partly on past prices. This is why Marx represents the value of a commodity as k+s, and the price of production of a commodity as k+p : cost-price is the same in both equations.Once this is accepted, then Marx's conclusions about total price and total value, and total profit and total surplus-value, hold true, as does his claim that the aggregate rate of profit is equal both in terms of value and price.
Mike - I think there are some major problems with this solution and with the interpretation of the transformation problem as it's outlined here.
I agree with you that the transformation problem is not a problem, but not for the same reasons as you. In my understanding, when we talk about value we are having an abstract discussion about the nature of things, and what they are in terms of human social relations and how they are produced - humans expend energy in order to produce things (value), and some of that gets solidified through the process of property ownership (capital). Surplus value is merely the additional human energy that is produced through the production process, as we become ever more efficient in production, so it becomes possible to get more out than we put in. This is all an abstract discussion of the way that things are in order for things like profit, prices, labour, capital, etc., to exist. When we come to consider the actual, surface-level, appearance of these things like prices, wages, profit, then we come to much more contingent quantities that have no direct relationship to the abstract nature of things, but are rather fought over on a day-to-day basis (through processes like the class struggle, market exchange/competition, etc.). There is no reason why the individual value should equal individual price - or, more like, there is no way that total value can equal total price, precisely because they are two completely different things - one (value) is an abstract depiction of the nature of certain categories within capitalism, another (price) is an actual quantitative phenomenon produced through the multiple human activities that form contemporary capitalism in its ongoing reproduction. To discuss whether value equals price is analogous to discussing whether the concept 'atoms' equal the quantity of apples - they simply aren't concepts dealing with the same thing.
I think one of the best pieces of writing I've seen on this is by Alfredo Saad-Filho (2002), The Value of Marx: Political economy for contemporary capitalism, (Routledge), where he says
the age old objection that Marx's transformation is wrong because he failed to transform the value of the inputs is beside the point. Marx's procedure is adequate for the derivation of the concept of price of production (although not immediately for its calculation), because it separates cause (the performance of labour in production and expolitation through the extraction of surplus value) from effect (the existence of a positive profit rate, and the forces leading to its equilibrium across branches) [p.88-9]
and also
Inadequate understanding of Marx's transformation has often led to the complaint that he unwarrantedly omitted the specification of the technologies of production or, more often, that he did not transform the value of the inputs. This chapter has demonstrated that these objections are misplaced, because they emphasise issues that are not the primary object of Marx's concern in the transformation, and may obscure, rather than help to reveal, the subject of his inquiry.[p.91]
John,
I disagree with what you say about value, at least as it pertains to Marx's own understanding of his solution to the problem. In Marx's theory already from Ch. 1 of the first Volume, and for the rest of all 3 volumes, value is treated as an actual magnitude which can be expressed by both in terms of labor-time and in terms of money. This also is certainly the case in Part II of Vol. 3 of Capital, in which Marx's claim that in the total surplus-value equals total profit and total value equals total price presupposes that both value and price can be expressed in the same units (namely, money).
So the claim that they are simply in two different dimensions, so to speak, cannot stand as a legitimate interpretation of Marx's theory.
That said, I am not saying that the theory cannot stand on its own terms. It may be able to. But it must make entirely different predictions and have an entirely different theoretical basis from Marx's.
I should note that I think Saad-Filho's attempt to solve the so-called transformation problem is a roundabout way of doing nothing. Saad-Filho (whose position is shared by Ben Fine, as far as I'm aware) basically says that Marx took the first step to solving the transformation procedure (by transforming the outputs), and what needs to be done is to complete it by transforming the inputs through a further process. But once this process is completed, the same inconsistencies that had always been alleged pop back up: total price does not equal total value, and total profit does not equal total surplus-value (or, rather, the two cannot be equal simultaneously). Thus the critique of Marx turns out to be correct, it's just that a different method of arriving at the critique is proposed. But the method of arriving at the critique was never at issue. Saad-Filho arrives at the exact same conclusion as Bortkiewicz, except that he refuses to acknowledge it.
Examine the first quote you provided more closely:
the age old objection that Marx's transformation is wrong because he failed to transform the value of the inputs is beside the point. Marx's procedure is adequate for the derivation of the concept of price of production (although not immediately for its calculation), because it separates cause (the performance of labour in production and expolitation through the extraction of surplus value) from effect (the existence of a positive profit rate, and the forces leading to its equilibrium across branches) [p.88-9]
The second sentence admits that Marx's procedure is incapable of arriving at the calculation of actual prices of production. But once Saad-Filho makes a proposal that does suffice to calculate actual prices of production, it is seen that value is not the basis of price and surplus-value is not the basis of profit. This then makes his third sentence, which claims that value is the cause of prices of production, absolutely false, since on Saad-Filho's own interpretation this is not the case!
I don't see how this is anything more than a Marxist dodge of the real issue of the debate with the Sraffians: does labor-time determine value, and surplus-labor time determine profit, or do physical quantities?
If one wants to say that the answer is labor-time, one needs a better answer than Saad-Filho's.
Regards,
Mike
As an example of what would have to change on the basis of your understanding of the relation between price and value, in which price cannot be derived from value in any direct sense, consider the theory of exploitation.
Surplus-value can no longer be said to be the determinant of profit since surplus-value is neither a necessary nor a sufficient condition for the production of profit. (See my numerical examples above, and I can provide more examples if desired.) Neither can value be said to be the basis of price, for the same reason.
These two claims (that value is the basis of price and surplus-value is the basis of profit) are probably the two most important quantitative claims of Marx's, and they are the basis from which much of the rest of his theory rests (for example, the distribution of surplus-value among capitalists as well as the tendency of the rate of profit to fall).
Lest this purging of all quantitative aspects of Marx's theory be greeted with joy (as it indeed has been by certain theorists), I should note that this would also overturn Marx's theory of alienation, or of the reversal of subject and object in capitalist society, since this theory speaks of a self-domination of labor over itself (capital, which is dead labor, dominating living labor). If, on the other hand, surplus-value is not the basis of profit, then neither is surplus-labor its basis (since surplus-value is only another name for the surplus-labor embodied in commodities). Accumulated capital, which is accumulated profit, is then not produced by labor. If this is the case, then capital is not a form of labor, and the domination of capital over labor is not a form of self-domination.
So it seems that all major aspects of Marx's theory (namely alienation and exploitation, which are two aspects of the same thing in Marx) would have to fall down with his transformation procedure.
Mike
hi Mike,
I prefer to think of it in a different way:
1) was Marx right to use the idea of value to illustrate the way in which the amount of energy expended by the workers is less than that which is necessarily received by the workers, in order to provide a basis for the idea of profit being exploitative. I think the answer is yes - if we just stick in the realm of wages, prices, profits, there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners.
2) do we need to include the idea of prices in a theory of capitalism in order to make it more concrete-complex - I think the answer to this is also yes. We need to understand how prices/wages/profits relate to value/surplus-value - i.e. that they are referring to the same things, but never necessarily in the same quantities.
3) does the tendency of the rate of profit to fall exist? I think the answer to this is yes, if we accept the logical conditions existent in Marx's theory - that competition equalizes prices, that the pursuit of increasing particular profits for individual capitals creates a general process which reduces the overall amount of labour employed in production, and therefore reduces the overall rate of exploitation.
4) does it matter for any of this whether price = value (or whether it has been shown to do so incorrectly by Marx).? I don't think so.
For me, Marx is working with so many different levels of abstraction that Capital inevitably contradicts itself. The transformation problem is just one example.
Hi John,
I don't think you've actually responded to my points. You say that you would "prefer to think of it in a different way" but I explained above why it cannot be thought of in a different way. Perhaps my reasons are incorrect, but in order to show this my arguments would have to be addressed.
1) was Marx right to use the idea of value to illustrate the way in which the amount of energy expended by the workers is less than that which is necessarily received by the workers, in order to provide a basis for the idea of profit being exploitative. I think the answer is yes - if we just stick in the realm of wages, prices, profits, there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners.
You are arguing here in a direction which is precisely the reverse of the way an argument should run. You say that "if we just stick in the realm of wages, prices, profits, there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners." But this is begging the question. The conclusion of the argument about value should be that it shows that a transfer of power from workers to capital-owners takes place. You are instead using this as a premise for the theory you are proposing. But what basis do you have making your statement except the theory of value? You are arguing in a circle: because workers transfer their power to capital-owners, we need to show this theoretically. You are assuming something that can only be known after we have already used the theory of value to deduce it.
Even aside from this, if you take your statement "if we just stick in the realm of wages, prices, profits, [then] there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners", it doesn't actually present any argument in favor of value-theory. The if, then, conclusion is precisely what is argued by the Sraffians. You are just restating their position.
2) do we need to include the idea of prices in a theory of capitalism in order to make it more concrete-complex - I think the answer to this is also yes. We need to understand how prices/wages/profits relate to value/surplus-value - i.e. that they are referring to the same things, but never necessarily in the same quantities.
This is unclear. The entire point of the Sraffian critique is that if we do understand the relation between value and price, then we see that value is just a substratum of physical quantities: physical quantities plus the real wage determine both surplus-value and profit (as well as value and price), rather than surplus-value determining profit. This is why value-theory has been characterized as an unnecessary detour by the Sraffians. (This should be fairly agreeable: if technology and real wages determine both profit and value, but value is not experienced by anyone and has no determining power, then there is no reason to even theorize it. We would be more clear and direct if we just stuck to prices and technology.) You are not actually showing the possibility of deriving profit from surplus-value, and you cannot show this possibility unless you refute the Bortkiewiczian critique of Marx.
3) does the tendency of the rate of profit to fall exist? I think the answer to this is yes, if we accept the logical conditions existent in Marx's theory - that competition equalizes prices, that the pursuit of increasing particular profits for individual capitals creates a general process which reduces the overall amount of labour employed in production, and therefore reduces the overall rate of exploitation.
This is not the case. Whether the rate of profit falls depends entirely on how one understands value. The Sraffians have proved (by means of Okishio and Roemer, although this was anticipated by Tugan-Baranowski and many others) that on their interpretation of Marx's value-theory the rate of profit cannot fall for the reasons that Marx stated. In order to defend Marx's theory, one has to repudiate the simultaneist interpretation of Marx (i.e. the interpretation which holds that Marx understood input and output prices to be necessarily equal).
4) does it matter for any of this whether price = value (or whether it has been shown to do so incorrectly by Marx).? I don't think so.
No one has said that price=value. Marx said that in the aggregate, i.e. on the level of society as a whole, total price equals total value (as well as total surplus-value equals total profit).
You never responded to the point given in a post above: given Bortkiewicz's "correction" of Marx, if total value equals total price, then total surplus-value cannot equal total proft. If this is the case, then where does the excess of profit over surplus-value come from (or conversely, where does the excess of surplus-value over profit go)? If, on the other hand, you decide that total surplus-value equals total profit, then where does the excess of price over value come from (or, conversely, where does the excess of price over value go)? Since value is just another name for what you call human activity above, deviations of price from value on the aggregate level would seriously call into question the theory that price is derived from "human activity" (i.e. value).
This has never been responded to successfully by any Marxist besides those who have dropped the assumption of equal input and output prices (Kliman, McGlone, Carchedi, Giussani, Freeman, Ernst, etc.).
For me, Marx is working with so many different levels of abstraction that Capital inevitably contradicts itself. The transformation problem is just one example.
This doesn't show anything. To say that Marx "inevitably" contradicts himself sheds no light on where it was that Marx contradicted himself, nor whether or not the contradictory aspects of his theory can be salvaged. You say that the "transformation problem" is "just one example" of these contradictions, but you have not shown how this is in fact a contradiction. What are you basing this statement on? How do we know that Marx contradicted himself? Basing this on "inevitable" contradictions is less than adequate. Following this line of thought, one could attack any theory on the basis that it has "inevitable" contradictions, making it impossible to have anything more than purely subjective criteria for deciding between theories.
I should add that allowing logical contradictions to pass on the grounds that they are "inevitable" is not how genuine sciences are carried out. While it may be true that they are "inevitable", no scientist would satisfy herself with a contradictory theory on these grounds. She would either show that the supposedly contradictory theory was not in fact contradictory, or would revise the theory in such a way that the contradictions disappeared, or would drop the theory altogether. For some reasons Marxists rarely accept scientific these kinds of criteria. I think it's high time that we take what we say seriously enough to subject ourselves to scientific standards.
Take care,
Mike
For me, Marx is working with so many different levels of abstraction that Capital inevitably contradicts itself. The transformation problem is just one example.
So John, since you say that Capital contradicts itself, are you saying that we should leave communist political economy a mass of contradictions or that we should work out a more consistent approach?
Your whole approach seems to take the "it's close enough to work as plausible propaganda" position. I think that contradicts working towards a situation where the proletariat is able to reason about itself.
Red
Edited for typos
hi Mike, Red,
I don't think we're ever going to arrive at a theory that enables "the proletariat to reason about itself". theory is necessarily incomplete, which is in itself a form of contradiction.
In response to some of Mike's points:
You say that "if we just stick in the realm of wages, prices, profits, there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners." But this is begging the question. The conclusion of the argument about value should be that it shows that a transfer of power from workers to capital-owners takes place. You are instead using this as a premise for the theory you are proposing. But what basis do you have making your statement except the theory of value? You are arguing in a circle: because workers transfer their power to capital-owners, we need to show this theoretically.
I don't see any problem with this - that's exactly what I'm doing - workers are being exploited, so we should devise conceptual schemes to illustrate this point - where's the problem here?
You are assuming something that can only be known after we have already used the theory of value to deduce it.
this is unavoidable. to think otherwise is to fall for the positivist illusion that reality can simply be grasped through experience. of course we use our conceptual schemes to interpret reality. again, I don't differ with how you depict my view, I just don't see it as a problem.
Even aside from this, if you take your statement "if we just stick in the realm of wages, prices, profits, [then] there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners", it doesn't actually present any argument in favor of value-theory. The if, then, conclusion is precisely what is argued by the Sraffians. You are just restating their position.
I don't follow your reasoning here. I'm saying that value theory gives us something additional to that which a theory focusing merely on prices/wages gives us. It allows us conceptually to understand why the exchange of labour power for wages is exploitative (because we exchange more value for less). That's my argument in favour of value-theory.
You are not actually showing the possibility of deriving profit from surplus-value
that's right, because I don't really care about it. and, more importantly, I don't think there is any reason why the two should correlate.
value-theory, for me, is a discussion in the abstract of what capitalists and workers are doing when we abstract from their daily conditions to consider, in more essential forms, various acts of exchange. In actuality, the way in which these exchanges occur is much more complex and may actually (and often does) result in a loss for the capitalist, in workers becoming capital-owners, in hyperinflation that grossly disrupts the quantitative values that are being exchanged, and so on. For these reasons (which, from what you say, are quite diffferent to the Sraffian critique) I think value theory is useful, but should not be validated in terms of its ability to derive price.
given Bortkiewicz's "correction" of Marx, if total value equals total price, then total surplus-value cannot equal total proft.
I can't understand this, however many times I read it. Undoubtedly this is because I'm not that familiar with a lot of this Marxist economist literature - apologies. My only response would be that I see no real reason why ( in a static 'snapshot' this should be the case). Total value = exchange value + surplus value = total price = total costs of production + total profit. I don't see where the problem lies here? Again, undoubtedly through my own ignorance. there is of course always a problem in terms of realizing surplus value when we come to view the reproduction of capitalism as a dynamic process. Here we are left with a surplus that always struggles to realize itself. (David Harvey is very good at detaling this problematic reproduction of capital). So, we see in chapter 15 of Capital volume 3, a general discussion of this problem, summed up by the claim that:
The periodical devaluation of the existing capital, which is a means, immanenet to the cpaitalist mode of production, for dealying the fall in the profit rate and accelerating the accumulation of capital value by the formation of new capital, disturbs the given conditions in which teh circulation and reproduction process of capital takes place, and is tehrefore accompanied by sudden stoppages and crises in the production process.
also, :
The means - the unrestricted development of the forces of social production - comes into persistent conflict with the restricted end, the valorization of the existing capital
My reason for giving these quotes, is that I think it kind of shows that if we consider the process of capitalist reproduction as an internally problematic one, precisely because total quantitative values are constantly disrupted by the changes that capitalist reproduction itself engenders. This probably still doesn't answer your point?
where does the excess of profit over surplus-value come from (or conversely, where does the excess of surplus-value over profit go)? If, on the other hand, you decide that total surplus-value equals total profit, then where does the excess of price over value come from (or, conversely, where does the excess of price over value go)?
I'm trying to argue that is precisely the problem for capitalism, not for Marx's Capital. David Harvey makes very similar claims - citing this as reasons for the necessity of both expanded reproduction and accumulation-by-dispossesion - and periodic crises.
Since value is just another name for what you call human activity above, deviations of price from value on the aggregate level would seriously call into question the theory that price is derived from "human activity" (i.e. value).
I don't think price is derived from human activity, so not sure I need to respond to this.
one could attack any theory on the basis that it has "inevitable" contradictions, making it impossible to have anything more than purely subjective criteria for deciding between theories.
I think this is right. The purely subjective criteria I use are - do I think it's going to improve my life?
I should add that allowing logical contradictions to pass on the grounds that they are "inevitable" is not how genuine sciences are carried out. While it may be true that they are "inevitable", no scientist would satisfy herself with a contradictory theory on these grounds. She would either show that the supposedly contradictory theory was not in fact contradictory, or would revise the theory in such a way that the contradictions disappeared, or would drop the theory altogether. For some reasons Marxists rarely accept scientific these kinds of criteria. I think it's high time that we take what we say seriously enough to subject ourselves to scientific standards.
To be honest, I think all theories are contradictory in the sense that they are always-already unable to capture reality in its entirety. Unless you accept that, you're going to give yourself a big headache trying to construct the perfect theoretical construct. I think there is another thread on science - what it is/isn't? - here , to which I have little to add.
thanks,
john
hi Mike, Red,I don't think we're ever going to arrive at a theory that enables "the proletariat to reason about itself". theory is necessarily incomplete, which is in itself a form of contradiction.
Well, aside from the point about the proletariat reasoning about itself (which I won't say I agree or disagree with, since I didn't say it and am not exactly sure what is meant by it), incompleteness is not at all a form of contradiction. Incompleteness is incompleteness. I may only know some things about the computer I'm writing on, but it does not follow that my knowledge of it is contradictory.
mikus wrote:
You say that "if we just stick in the realm of wages, prices, profits, there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners." But this is begging the question. The conclusion of the argument about value should be that it shows that a transfer of power from workers to capital-owners takes place. You are instead using this as a premise for the theory you are proposing. But what basis do you have making your statement except the theory of value? You are arguing in a circle: because workers transfer their power to capital-owners, we need to show this theoretically.I don't see any problem with this - that's exactly what I'm doing - workers are being exploited, so we should devise conceptual schemes to illustrate this point - where's the problem here?
The problem is that you have no evidence that workers are exploited unless you use value-theory. But the validity of value-theory is precisely what it in question. You are begging the question by assuming what you are trying to prove, and then using this as a premise in your argument in order to derive the conclusion that value-theory is necessary. Circular arguments cannot prove anything, since they amount to assertions rather than deductions. See this.
mike wrote:
You are assuming something that can only be known after we have already used the theory of value to deduce it.
this is unavoidable. to think otherwise is to fall for the positivist illusion that reality can simply be grasped through experience. of course we use our conceptual schemes to interpret reality. again, I don't differ with how you depict my view, I just don't see it as a problem.
No, it is not unavoidable. Any valid deduction avoids it, by allowing the conclusions to be deduced from premises rather than including the conclusion itself in one of the premises. The link I provided above should make my problem with it fairly clear.
mike wrote:
Even aside from this, if you take your statement "if we just stick in the realm of wages, prices, profits, [then] there is no basis upon which to portray the employment of wage-labour and the production of profit through it as something which creates a transfer of power from workers to capital-owners", it doesn't actually present any argument in favor of value-theory. The if, then, conclusion is precisely what is argued by the Sraffians. You are just restating their position.I don't follow your reasoning here. I'm saying that value theory gives us something additional to that which a theory focusing merely on prices/wages gives us. It allows us conceptually to understand why the exchange of labour power for wages is exploitative (because we exchange more value for less). That's my argument in favour of value-theory.
What I was trying to say was that the Sraffians already claim to have disproved your argument. If their disproof is correct, then profit is not derived from the "exchange [of] more value for less", but rather from physical quantities.
You seem to be going in the direction of saying "okay, that is how profit is determined but not surplus-value." But the problem with this is that if surplus-value has no relation to profit, your theory of surplus-value and exploitation is going to be purely Platonic. Surplus-value will be a hidden essence behind profit but there is no way this theory can be either verified nor falsified. It cannot be observed, nor can its effects. It is no different than claims for the existence of God.
mike wrote:
You are not actually showing the possibility of deriving profit from surplus-value
that's right, because I don't really care about it. and, more importantly, I don't think there is any reason why the two should correlate.
I respond to this idea immediately above. If you don't care about the relation of surplus-value to profit, neither should anyone else, but I don't think most people will stick to surplus-value as against profit. Most people will just reject it as irrelevant, since even if true (and there is not even any evidence for this) there would be no way to know that. Even as far as the "plausible propaganda" goes (which Red mentioned), I think this falls far short.
value-theory, for me, is a discussion in the abstract of what capitalists and workers are doing when we abstract from their daily conditions to consider, in more essential forms, various acts of exchange. In actuality, the way in which these exchanges occur is much more complex and may actually (and often does) result in a loss for the capitalist, in workers becoming capital-owners, in hyperinflation that grossly disrupts the quantitative values that are being exchanged, and so on. For these reasons (which, from what you say, are quite diffferent to the Sraffian critique) I think value theory is useful, but should not be validated in terms of its ability to derive price.
I'm going to hold off on this for now, since it seems that the real basis of our difference is not this and I'm not clear of the relevance of this to the debate. But I will just say that I don't think that these things falsify value-theory as an explanation of concrete phenomenon.
]
mike wrote:
given Bortkiewicz's "correction" of Marx, if total value equals total price, then total surplus-value cannot equal total proft.I can't understand this, however many times I read it. Undoubtedly this is because I'm not that familiar with a lot of this Marxist economist literature - apologies. My only response would be that I see no real reason why ( in a static 'snapshot' this should be the case). Total value = exchange value + surplus value = total price = total costs of production + total profit. I don't see where the problem lies here? Again, undoubtedly through my own ignorance. there is of course always a problem in terms of realizing surplus value when we come to view the reproduction of capitalism as a dynamic process. Here we are left with a surplus that always struggles to realize itself. (David Harvey is very good at detaling this problematic reproduction of capital).
I tried to explain Bortkiewicz's objection to Marx's transformation procedure in my first couple of posts above. I'm afraid I don't think I can do much better than that, it is admittedly a difficult topic at first, and the only way to understand why what Bortkiewicz says must be true (so long as values and prices are held in two separate systems) is to look at his mathematical proof.
mike wrote:
where does the excess of profit over surplus-value come from (or conversely, where does the excess of surplus-value over profit go)? If, on the other hand, you decide that total surplus-value equals total profit, then where does the excess of price over value come from (or, conversely, where does the excess of price over value go)?
I'm trying to argue that is precisely the problem for capitalism, not for Marx's Capital. David Harvey makes very similar claims - citing this as reasons for the necessity of both expanded reproduction and accumulation-by-dispossesion - and periodic crises.
Yes, some people have taken this response, but I don't think it's valid. The problem with this is that the appearance and disappearance of value and price in Bortkiewicz' proof occurs in a case of no technical change and no accumulation of capital. So the falling rate of profit and contradictory accumulation cannot explain why value and price seem to appear and disappear, since they can only function as explanation once technical change is introduced as well as the accumulation of capital.
Mike wrote:
Since value is just another name for what you call human activity above, deviations of price from value on the aggregate level would seriously call into question the theory that price is derived from "human activity" (i.e. value).I don't think price is derived from human activity, so not sure I need to respond to this.
Yes, I misinterpreted you before, but I still think there is a problem here insofar as you still hold to Marx's theory of the law of the tendential fall in the rate of profit. This absolutely presupposes Marx's value theory, particularly his theory that living labor in production (which produces values) determines price magnitudes. Otherwise, there is no way to suggest that a decline in living labor in production has any effect whatsoever on the rate of profit (which is a ratio of prices). So if you give up the quantitative aspects of Marx's theory of value you also give up Marx's explanation for the tendential fall in the rate of profit.
mike wrote:
one could attack any theory on the basis that it has "inevitable" contradictions, making it impossible to have anything more than purely subjective criteria for deciding between theories.I think this is right. The purely subjective criteria I use are - do I think it's going to improve my life?
This makes debating anything pointless, since you can believe whatever you want. Why did you consider it worthwhile to take up this discussion/debate if you can believe anything you want based on purely subjective criteria?
Also, perhaps I'm stepping over my bounds by analyzing your personal psychology, but I doubt you actually believe this. Do you believe that Earth orbits the Sun? If so, what are your purely subjective reasons for believing this? I think living life on the basis of purely subjective criteria would be quite difficult, nay impossible.
mike wrote:
I should add that allowing logical contradictions to pass on the grounds that they are "inevitable" is not how genuine sciences are carried out. While it may be true that they are "inevitable", no scientist would satisfy herself with a contradictory theory on these grounds. She would either show that the supposedly contradictory theory was not in fact contradictory, or would revise the theory in such a way that the contradictions disappeared, or would drop the theory altogether. For some reasons Marxists rarely accept scientific these kinds of criteria. I think it's high time that we take what we say seriously enough to subject ourselves to scientific standards.
To be honest, I think all theories are contradictory in the sense that they are always-already unable to capture reality in its entirety. Unless you accept that, you're going to give yourself a big headache trying to construct the perfect theoretical construct. I think there is another thread on science - what it is/isn't? - here , to which I have little to add.
This response supposes that I want to "capture reality in its entirety". Since I'm not a dialectical materialist, I see no need to try to capture reality in its entirety. I only see the need to capture the object of my studies. Which admittedly still gives headaches, but genuine research is at least possible.
Take care,
Mike


To be honest, I can't figure out for the life of me what Marx is trying to say in that passage. I've reread it a million times and I still don't know what he's getting at. He makes bizarre statements like "Now, as we make our calculation the profit of A will not be included in its cost-price, nor will the profits of B, C, D, etc., be included in theirs. Nobody ever includes his own profit in his cost-price." This is entirely obvious, since as he admits in the second sentence "nobody ever includes his own profit in his cost-price." It seems to me that Marx is still trying to work out the relation of values and prices at this point in the manuscript.
In any case, this passage has not been the controversial one, which might come as a surprise since it is clearly related to the controversy. (Perhaps because of how confusing it is, it has been ignored, which seems to me to be the correct procedure since I can't see a debate about this passage going anywhere.)
The infamous passage is actually this one:
"The foregoing statements have at any rate modified the original assumption concerning the determination of the cost-price of commodities. We had originally assumed that the cost-price of a commodity equalled the value of the commodities consumed in its production. But for the buyer the price of production of a specific commodity is its cost-price, and may thus pass as cost-price into the prices of other commodities. Since the price of production may differ from the value of a commodity, it follows that the cost-price of a commodity containing this price of production of another commodity may also stand above or below that portion of its total value derived from the value of the means of production consumed by it. It is necessary to remember this modified significance of the cost-price, and to bear in mind that there is always the possibility of an error if the cost-price of a commodity in any particular sphere is identified with the value of the means of production consumed by it. Our present analysis does not necessitate a closer examination of this point."
According to an interpretation which was advanced by Bortkiewicz and has been dominant ever since (though it is by no means the only way to interpret Marx), in this passage Marx admits to making an error in his tables, because the cost-prices in the price of production table are not transformed into a separate price-of-production-cost-price (i.e. a cost-price which is the sum of the PRICES of the means of production consumed + the PRICE of the means of subsistence consumed). Bortkiewicz "corrects" this error by separating value and price of production into two completely different systems.
In the value system, the value of a commodity is determined by k + s , where k is the VALUE of the means of production consumed in a commodity's production plus the VALUE of the means of subsistence consumed by workers. S is surplus-value.
In the price system, the price of a commodity is determined by k' + r, where k' is the PRICE of the means of production consumed in a commodity's production plus the PRICE of the means of subsistence consumed by the worker, and r is the average rate of profit (rather than the surplus-value actually produced).
As you can see, this means that value and price are now in two entirely distinct systems of equations. In Marx's tables, there are not two distinct cost-prices, there is only ONE cost-price represented by k. Marx says that the value of a commodity is equal to k + s, where k is the cost-price of a commodity and s is the surplus-value produced, and the price of a commodity is k + p, where k is cost-price and p is average profit. I.e. cost-price (k) is identical in both systems.
Once Bortkiewicz has separated the value system from the price system, a number of (in)famous results emerge:
1. Marx claims both that total value equals total price, as well as that total surplus-value equals total profit. This implies that the general rate of profit in the "value system" and the "price system" are identical. Once this is "corrected" in the manner of Bortkiewicz, this cannot be the case: one can stipulate that EITHER total price equals total value, OR that total profit equals total surplus-value, but they cannot BOTH be equal at the same time (excepting some completely unrealistic scenarios, such as equal organic compositions of capital, in which there is no transformation anyway, or where there is no constant capital, etc.).
2. Given the above, the rate of profit of the "price system" and the "value system" MUST be unequal.
3. The general rate of profit is not at all affected by production of luxury goods (goods which do not enter into any production process as constant capital, nor are consumed by workers). This is contrary to Marx's theory in which the general rate of profit is determined by the surplus-value extracted in ALL sectors of production. (This is also a defense of Ricardo, who gave primacy to the conditions of production in the wage-good sector. Marx criticized Ricardo on this point.)
4. Marx's theory of the tendential fall in the rate of profit is untenable. The rate of profit actually rises with any increase in productivity (unless the increase in productive occurs in a sector producing luxury goods, which would leave the general rate of profit unchanged, as I noted above). In fact this result was not noticed immediately but was a result of the way Bortkiewicz "corrected" Marx. I don't believe it was explicitly noticed for at least a few years. Bortkiewicz wrote a paper dealing with this but I believe to this day it's never been translated into English. Okishio's theorem is the most famous of the theorems to have made this claim.
As you can probably see, all 4 of these things cast serious doubt on major aspects of Marx's theory.
If it is assumed that total value and total price are equal, then total surplus-value and total profit must be unequal. Thus, there seems to be a source of profit different from surplus-labor. Or, alternatively, if one assumes that total surplus-value equals total profit, then total value and total price must be unequal. There thus seems to be a source of value different from living labor.
Pecularity 3 has been discussed less frequently, but in my opinion this only reinforces the point that in Bortkiewicz' correction, profit cannot come from living labor, since the living labor performed by workers that produce luxury goods becomes entirely irrelevant.
The theory that the rate of profit RISES with increases of productivity casts doubt on (what is arguably) Marx's theory of periodic crises.
Fortunately for Marx's theory, and unfortunately for its critics, Bortkiewicz' critique has a number of serious problems, the most serious of which, in my opinion is the following:
The reason Bortkiewicz claims that value and price must be separated into two separate systems is because of an attempted proof he gave which is supposed to show that if values and prices are left in the same system, there can be no reproduction of the capitalist system: reproduction breaks down spuriously. His proof was disproved in 1988 by Kliman and McGlone, who showed that it is possible to keep value and price in the same system, as Marx did, without any spurious breakdown of reproduction. Thus, Bortkiewicz' argument about the necessity of separating the systems falls down. Bortkiewicz' "correction", then, is not at all a correction but in fact an entirely different theory of profit determination.
In my opinion the best book on the "transformation problem" is Andrew Kliman's "Reclaiming Marx's Capital", which was published at the beginning of this year. It's quite intelligible for anyone who has read through Marx's discussion of the transformation of values into prices of production as well as the law of the tendential fall in the rate of profit. There is some arithmetic but no algebra accept in appendices which are optional and one can skip without affecting the line of argument. It clearly and intelligibly explains Bortkiewicz' critique as well as subsequent ones as well as the debates that have taken place since then.
There is also an interesting paper by Alejandro Ramos-Martinez which examines the parts of Vol. 3 of Capital that Engels didn't include in the finished version, which help clarify what Marx was doing. His perspective on the "transformation problem" is the same as that of Andrew Kliman. (As a brief summary: there is no transformation problem. Marx's explanation of the transformation of values into prices of production is logically consistent.) I can send this as a PDF file if you private message me. (This also has no complex math.)
I hope this helps you understand what the critique of Marx is.
Mike