Julio Huato wrote:

Ted Winslow wrote:

So "mathematical abstractions" are limited
in their applicability  by "internal
relations," the degree of limitation
depending on the degree to which "internal
relations" are relevant,.

Can you then exactly pinpoint your disagreement with using game theory
(a particular set of mathematical abstractions) to examine the
behavior of an economy under some abstract conditions?

You have not referred to anything *specific* to game theory.  You have
only alluded to the general limitations of all (mathematical and
nonmathematical) abstractions.

As I said, if Keynes's account of the behaviour of liquidity preference is realistic, the behaviour can't be represented by any set of mathematical abstractions because of the relevance of internal relations. The behaviour is also irrational in a way that's inconsistent with representing it as any form of rational optimization.

Keynes treats the "individuality" dominant in capitalism as expressing the intermal social relations that constitute capitalism - as what Marx calls the "character mask" of those relations. He "abstracts" from changes in these relations, i.e. he treats them as sufficiently stable to be taken as "given" (his word). (His long run project, however, is, like Marx's, to transform these relations so as to make them coincide with the ideal "individuality" and the "ideal social republic" such an individuality would create.)

He assumes this individuality is significantly irrational. He claims the "main motive force of the economic machine" in capitalism iinvolves "an intense appeal to the money=making and money-loving instincts of individuals." This constitutes it as "a somewhat disgusting morbidity, one of those semi-criminal, semi-pathological propensities which one hands over with a shudder to the specialists in mental disease."

This irrationality is embodied in "the three fundamental psychological factors" of the General Theory: "the psychological propensity to consume, the psychological attitude to liquidity and the psychological expectation of future yield from capital-assets."

An explanation of interest rates in terms of the last two of these is provided in the passage I quoted earlier.

“Why should anyone outside a lunatic asylum wish to use money as a store of wealth? "Because, partly on reasonable and partly on instinctive grounds, our desire to hold money as a store of wealth is a barometer of the degree of our distrust of our own calculations and conventions concerning the future. Even though this feeling about money is itself conventional or instinctive, it operates, so to speak, at a deeper level of our motivation. It takes charge at the moments when the higher, more precarious conventions have weakened. The possession of actual money lulls our disquietude; and the premium which we require to make us part with money is the measure of the degree of our disquietude.” (vol. XIV, p. 116)

This implements a psychoanalytic understanding of the irrationality. Understood in this way, capitalist "individuality" remains subject to changes in its "identity" with changes in those relations not treated as "given." Keynes elaborates these changes in identity in terms of the psychoanalytic idea of a "psychological group" (the idea used to formally define a "conventional judgment" in the third of his three forecasting "conventions") and of "regression" (the idea underpinning the role assigned to the "feeling about money" in the above passage). So internal relations continue to be relevant to the analysis in a way that rules out mathematical representation.

Keynes makes use of these ideas in his own approach to investment. This doesn't involve rational forecasting of the rational behaviour of others; it's rational forecasting of irrationality understood in the above way, i.e. it's rational "speculation" where "speculation" is defined, as Keynes defines it (vol. VII, p. 158), as "the activity of forecasting the psychology of the market."

In the General Theory (vol. VII, pp 207-8), he claims the U.S. bond market in 1932 was characterized by "a financial crisis or crisis of liquidation" of the kind pointed to in the passage, a crisis "when hardly anyone could be induced to part with holdings of money on any reasonable terms."

Letters he wrote at the time indicate that he believed this created an opportunity for practically certain "speculative" profit.

For example, in a July 7, 1932 letter to C.L. Baillieu he claims that

"the most striking feature of the immediate situation is the extraordinary disparity between yields in London and yields in New York of comparable securities. It seems to me quite impossible that the present situation can long persist. And I should have supposed it to be probable that the readjustment would be brought about by a substantial rise in the prices of prime fixed-interest securities in New York. The present may be the chance of a lifetime for the purchase of the latter. Obviously everyone in New York is scared so stiff as to be unable to move. But that may be the opportunity of others away from any unsettling influence of the local atmosphere. No serious risk can arise unless the existing financial system in America is going to peg out altogether. I suppose that that is just possible, but I cannot believe that it is probable." (vol. XII, p. 113)

In a subsequent letter on July 20, in language even more explicit than the language of chap. 12 of the General Theory (vol. VII, 153-61), he describes the functioning of U.S. financial markets as follows:

"It will not take much to bring about a reversal of sentiment in the United States. For the moment their markets are dominated by insane gambling to get in at the bottom, just as they were dominated in the boom by insane gambling to get out only at the top. If one is offered $20 for the price of $10, it may be foolish to refuse; but it may not seem so, if the $20 is on offer at $8 a week later. Yet positions of this kind - games of musical chairs in which all the players but one will in the end fail to get a seat - which are not based, and do not even pretend to be based, on intrinsic values and long views, change suddenly." (vol. XII, pp. 120-1)

A March 1934 letter to Walter Case repeats this analysis.

"Unless the recovery plans break down completely and end in universal disorder and discredit and fear, interest rates in America are almost certain, sooner or later, to take the same course they [that] they have over here. It seems to me that it must be right to back this opinion, since, if this is wrong, all other forms of investment in America, except possibly the flight of capital from the country, are certain to turn out disastrously. It seems to me almost absurd to suppose that an investment either in common stocks or in actual cash can turn out well and that an investment in fixed-interest securities of the second class can turn out badly. There are innumerable instances of profits on that scale in this country during the last two years on the most steady going securities. It is obvious, looking back, that opportunities which offered profit out of all proportion to possible loss were missed. My feeling is that this is now the position in the United States. If you have any belief in your own prospects at all, this strikes me as the outstanding certainty." (vol. XII, p. 319)

Here he stresses the role of mistaken and irrational beliefs about the determination of interest rates.

"The whole subject has, of course, many more ramifications than can be discussed in a letter, but almost everyone who has any pretensions to being a sound or orthodox thinker on financial problems in New York probably has his brain stuffed with fallacies on this particular matter. So there is an opportunity for anyone, if there is anyone, who can think (or so it seems to me) scientifically straight on this issue." (vol. XII, p. 320)

Ted

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