each other, and must therefore be exchanged for one another at such values as will be compatible with the equation of international demand. That this, however, does not furnish the complete law of the phenomenon, appears from the following consideration: that several different rates of international value may all equally fulfil the conditions of this law>

The supposition was, that England could produce 10 yards of cloth with the same labour as 15 of linen, and Germany with the same labour as 20 of linen; that a trade was opened between the two countries; that England thenceforth confined her production to cloth, and Germany to linen; and that, if 10 yards of cloth should thenceforth exchange for 17 of linen, England and Germany would exactly supply each other's demand: that, for instance, if England wanted at that price 17,000 yards of linen, Germany would want exactly the 10,000 yards of cloth, which, at that price, England would be required to give for the linen. Under these suppositions it appeared, that 10 cloth for 17 linen, would be, in point of fact, the international values.

But it is quite possible that some other rate, such as 10 cloth for 18 linen, might also fulfil the conditions of the equation of international demand. Suppose that at this last rate, England would want more linen than at the rate of 10 for 17, but not in the ratio of the cheapness; that she would not want the 18,000 which she could now buy with 10,000 yards of cloth, but would be content with 17,500, for which she would pay (at the new rate of 10 for 18) 9722 yards of cloth. Germany, again, having to pay dearer for cloth than when it could be bought at 10 for 17, would probably reduce her consumption to an amount below 10,000 yards, perhaps to the very same number, 9722. Under these conditions the Equation of International Demand would still exist. Thus, the rate of 10 for 17, and that of 10 for 18, would equally satisfy the Equation of Demand: and many other rates of interchange might satisfy it in like manner. It is conceivable that the conditions might be equally satis

fied by every numerical rate which could be supposed. There is still therefore a portion of indeterminateness in the rate at which the international values would adjust themselves; showing that the whole of the influencing circumstances cannot yet have been taken into the account.

§ 7. It will be found that to supply this deficiency, we

must take into consideration not only, as we have already done, the quantities demanded in each country, of the imported commodities; but also the extent of the means of supplying that demand, which are set at liberty in each country by the change in the direction of its industry.>

To illustrate this point it will be necessary to choose more convenient numbers than those which we have hitherto employed. Let it be supposed that in England 100 yards of cloth, previously to the trade, exchanged for 100 of linen, but that in Germany 100 of cloth exchanged for 200 of linen. When the trade was opened, England would supply cloth to Germany, Germany linen to England, at an exchange value which would depend partly on the element already discussed, viz. the comparative degree in which, in the two countries, increased cheapness operates in increasing the demand; and partly on some other element not yet taken into account. In order to isolate this unknown element, it will be necessary to make some definite and invariable supposition in regard to the known element. Let us therefore assume, that the influence of cheapness on demand conforms to some simple law, common to both countries and to both commodities. As the simplest and most convenient, let us suppose that in both countries any given increase of cheapness produces an exactly proportional in-X crease of consumption: or, in other words, that the value' expended in the commodity, the cost incurred for the sake of obtaining it, is always the same, whether that cost affords a greater or a ser quantity of the commodity.

Let us now

trade, required

pose that England, previously to the killion of yards of linen, which were

X

worth, at the English cost of production, a million yards of cloth. By turning all the labour and capital with which that linen was produced, to the production of cloth, she would produce for exportation a million yards of cloth. Suppose that this is the exact quantity which Germany is accustomed to consume. England can dispose of all this cloth in Germany at the German price; she must consent indeed to take a little less until she has driven the German producer from the market, but as soon as this is effected, she can sell her million of cloth for two millions of linen; being the quantity that the German clothiers are enabled to make, by transferring their whole labour and capital from cloth to linen. Thus England would gain the whole benefit of the trade, and Germany nothing. This would be perfectly consistent with the equation of international demand: since England (according to the hypothesis in the preceding paragraph) now requires two millions of linen (being able to get them at the same cost at which she previously ol tained only one), while the prices in Germany not being a tered, Germany requires as before exactly a million of cloth, and can obtain it by employing the labour and capital set at liberty from the production of cloth, in producing the two millions of linen required by England.

Thus far we have supposed that the additional cloth which England could make, by transferring to cloth the whole of the capital previously employed in making linen, was exactly sufficient to supply the whole of Germany's existing demand. But suppose next that it is more than sufficient. Suppose that while England could make with her liberated capital a million yards of cloth for exportation, the cloth which Germany had heretofore required was 800,000 yards only, equivalent at the German cost of production to 1,600,000 yards of linen. England therefore could not dispose of a whole million of cloth in Germany at the German prices. Yet she wants, w

(by our supposition), as much linen a million of cloth: and since this can

er cheap or dear

be bought for a be obtained from

Germany, or by the more expensive process of production at home, the holders of the million of cloth will be forced by each other's competition to offer it to Germany on any terms (short of the English cost of production) which will induce Germany to take the whole. What terms these would be, the supposition we have made enables us exactly to define. The 800,000 yards of cloth which Germany consumed, cost her the equivalent of 1,600,000 linen, and that invariable cost is what she is willing to expend in cloth, is, to in whether the quantity it obtains for her be more or less. England therefore, to induce Germany to take a million of cloth, must offer it for 1,600,000 of linen. The international values will thus be 100 cloth for 160 linen, intermediate between the ratio of the costs of production in England and that of the costs of production in Germany: and the two countries will divide the benefit of the trade, England gaining in the aggregate 600,000 yards of linen, and Germany being richer by 200,000 additional yards of cloth.

Let us now stretch the last supposition still farther, and suppose that the cloth previously consumed by Germany was not only less than the million yards which England is enabled to furnish by discontinuing her production of linen, but less in the full proportion of England's advantage in the production, that is, that Germany only required half a million. In this case, by ceasing altogether to produce cloth, Germany can add a million, but a million only, to her production of linen, and this million being the equivalent of what the half million previously cost her, is all that she can be induced by any degree of cheapness to expend in cloth. England will be forced by her own competition to give a whole million of cloth for this million of linen, just as she was forced in the preceding case to give it for 1,600,000. But England could have produced at the same cost a mil lion yards of linen for herself. England therefore derives, in this case, no antage from the international trade. Germany gains thole; obtaining a million of cloth instead of half a mh, at what the half million previously

cost her. Germany, in short, is, in this third case, exactly in the same situation as England was in the first case; which may easily be verified by reversing the figures.

As a general result of the three cases, it may be laid down as a theorem, that under the supposition we have made of a demand exactly in proportion to the cheapness, the law of international value will be as follows:

The whole of the cloth which England can make with the capital previously devoted to linen, will exchange for the whole of the linen which Germany can make with the capital previously devoted to cloth.

Or, still more generally,

The whole of the commodities which the two countries can respectively make for exportation, with the labour and capital thrown out of employment by importation, will exchange against one another.

This law, and the three different possibilities arising from it in respect to the division of the advantage, may be conveniently generalized by means of algebraical symbols, as follows:

Let the quantity of cloth which England can make with the labour and capital withdrawn from the production of linen, ben.

Let the cloth previously required by Germany (at the German cost of production) be = m.

Then n of cloth will always exchange for exactly 2m of linen.

Consequently if n=m, the whole advantage will be on the side of England.

If n=2m, the whole advantage will be on the side of Germany.

If n be greater than m, but less than 2m, the two countries will share the advantage; England getting 2m of linen where she before got only n; Germany getting n of cloth where she before got only m.

It is almost superfluous to obser hat the figure 2 stands where it does, only because it ise figure which ex