Hi,
I would like to start discussions on three premises that I believe form the real impasses to fundamental advances in economic science.
Be it resolved:
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The ‘polynomial factoring problem’ is irrelevant to quantification of general economic optima, i.e.: there exists one polynomial expression for general optimality (via multi-dimensional hyperbolae) that can always be factored in mathematically closed form. A mathematical development of this polynomial requires six algebraic steps; and will be supplied to anyone open to a discussion.
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This polynomial can be used to abstract manufacturing sectors’ technical parameters and household sectors’ utility parameters from published input/output data. These parameters are remarkably stable in time; and their changes are indicative of technical growth, the impact of government policies, etc. As evidence on this point, I would offer a study on 11 years of consistently defined I/O data from the UK ONS. The I/O data are in 12 x 12 matrices, so the utility parameters behind these observations are derived by 11 x 12 solutions to polynomials of the 12th degree.
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The ‘socialist computation’ or ‘’ problem was solved in the 1970’s – well before Hayek’s failed attempt, or the aborted Angora Project at GMU. To instantiate this claim, I offer a desktop prototype that represents the global economy in terms of three 5 x 5 I/O matrices. This structure can be initiated with any physical exchanges, and the program will compute the prices and parameters for which the hypothetical data are optimal. The model can then be stimulated with any combination of changes to its parameters or state variables, and it will enact the transit to its new general economic optimum. This transit is presented in terms of the continuum of all the disequilibrium prices and chaotic states by which the structure discovers its new, unique, optimal state. The model’s code is open-sourced, so it can be readily established that the economic actors operate with nothing more than limited, local knowledge, and on the verge of an unknown future. The new optimum is never computed because it cannot be computed except by allowing its emulation of economic causality to play out.
I wish to argue for the affirmative in each of these assertions.
Incidentally, this submission has a bet associated with it: the under/over is that, for every Austrian economist willing to look at the evidence, there will be six Austrian economists who will present a praxeological case as to why the evidence offered must be a priori a fraud, a delusion, or irrelevant.
Though I have the ‘over’ side of this bet, I would be more than pleased to lose it. I remain an Austrian insofar as I believe that the general economic optimum should be the center of economic thinking: it is axiomatic that the economic order must continue in flux until every sector agrees as to the price of every commodity; and perfectly sound and socially important science flows from this premise. Praxeology works in this instance because the condition of economic stasis is co-definitional with the general economic optimum; and mere reason is sufficient for working out the consequences of a definition.
But reason is limited to consideration of the data brought to it: it cannot tell us if something important is being left out of consideration. When the asserts that general optima cannot be quantified owing to polynomial factoring, it must be with the realization that it is stating a ‘general negative’, and that such statements are beyond proof because the totality of possibilities being negated is beyond enumeration. A general negative is therefore only part of civil discussion if it is offered as an invitation to refutation by counter-example.
Having been made aware of the counter-example as an undergraduate, and having since learned that it has been fought-off by the Austrians on a priori, praxeological grounds for more than forty years, I am now embarrassed that my profession disgraces the larger Libertarian, neo-conservative movement which I otherwise support. Libertarian economics begins with a commitment to reason and evidence, and proceeds to von Mises’ “miracle of the market” as the only possible explication of economic causation. And, when confronted with a perfectly sound, mathematically determined rendering of that “miracle”, our side’s response has been to hound the mathematician out of academic life with our pro forma accusations of Nazism and sexual deviancy.
I hope this submission will receive some serious consideration. The general optimum’s categorical resistance to quantification is, after Piltdown Man and N-rays, perhaps the greatest intellectual fraud of the Twentieth Century; and therefore the greatest remaining to be exposed. The religious fervor of its defense now approaches that which once favored a geocentric universe. And the heterodox guys are on to us. I therefore urge a full intramural airing of the three premises I hereby nail to the door of Austrian economics.
Mabel