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MEMORANDUM

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I have just read the manuscript of your paper submitted to Econometrica. I am<br />

very much interested in your general idea of investigating the repercussions from one<br />

system to another which may be caused by changes in any one system in a closed<br />

circuit. So far as I understand, this is the essence of your approach. This idea, I think,<br />

is very promising, and I believe definitely worthwhile to follow up.<br />

The general way in which you have set up the problem is very good, but I am<br />

under a strong impression that the whole exposition could in places be very much<br />

improved upon, if it were condensed and perhaps accentuated a little more by<br />

indicating sharply the object followed within each of the sections. I should therefore<br />

recommend that you go over your manuscript once more with this in view.<br />

While reading the manuscript I have taken the liberty to suggest – with pencil<br />

marks – certain pages, which I think could be omitted without weakening your whole<br />

chain of argument. As a matter of fact, I think your main idea would stand out more<br />

clearly if this were done. In places I have also suggested the re-phrasing of certain<br />

sentences. (…)For the last part of the manuscript I have only made very few and very<br />

general suggestions.”<br />

So far it was sheer praise. Leontief’s paper clearly was appreciated by Frisch. The<br />

more technical comments that followed cannot really be appreciated without a conception<br />

of the model of Leontief’s paper, which apparently is lost. But an idea of Leontief’s model<br />

can be gleaned from the section of Leontief’s paper which was rewritten by Frisch after the<br />

paper was re-submitted. The model set out in that section was a highly structured general<br />

equilibrium system of n production functions, representing Leontief’s idea of vertical<br />

stages of production as a causal chain with. It was set out elegantly by Frisch as a circular<br />

causal chain (but the circularity was Frisch’s idea and Leontief didn’t like it). The Frisch<br />

version of (part of) Leontief’s system was as follows:<br />

x f ( x , b )<br />

n n n1<br />

n<br />

x f ( x , b )<br />

n1 n1 n1 n1<br />

- - - - - -<br />

x f ( x , b )<br />

x<br />

2 2 1 2<br />

f ( x , b )<br />

1 1 n 1<br />

The amount supplied of x<br />

i<br />

by sector i was a function fi( xi 1, bi<br />

) of the input xi<br />

1<br />

provided by sector i-1 and a parameter b i<br />

and so on in a circular chain. The problem posed<br />

by Leontief was to find the equilibrium solution in the x 's when one or more of the b 's<br />

shifted. Frisch’s letter continued as follows:<br />

93

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