Date: Wed, 12 Nov 1997 11:46:51 -0500 (EST) From: JulioHuato@aol.com To: andy@mira.net Subject: Re: Great job << I really can't remember the issues in dispute now, that was in about 1983. I have the articles in my file though. >> Where, specifically, Andy? I browsed through your site, but no luck. I'm sending you the Complexity book. You may expect to receive it within a couple of weeks. In my opinion, the book provides a lite -- but fair -- presentation of the ideas about "complexity" developed by people now connected to the Santa Fe Institute. It's a short and very readable story-telling book. With regards to your attachment, unfortunately I don't know how to open it up. I assume it's a set of files bundled together as a MIME file. I know there's some shareware application out there to help me unbundle them and all, but I don't know how to use it, even if I could find it. Sorry, my acquaintance with computers is post-Windows. I suggest that you attach one file per note. << I think the fractal mathematics and complexity stuff is probably much more relevant to econometrics than Fourier analysis when it comes to cycles longer than the short-term business cycle. However, the most important thing is to distinguish the specific relations which determine the long-term trends from the short-term dynamics. This cannot be solved by exptrapolation.>> Besides the reference in the book "Complexity" and in a few other places, I'm not familiar with fractal math at all. I'll try to get acquainted. Fourier analysis is indeed widely used in econometrics (renamed as "spectral analysis") and I took note of your comment about the invariance assumption. At work, I haven't done much time-series analysis. Strictly speaking what I do is closer to market research than it is to economics. I deal mostly with cross-sectional data. As to the critique of modern conventional economics, I don't think I'll be unfair if I say that it has a relation to econometrics similar to that between theoretical and experimental physics. It is mostly an axiomatic-deductive construction exposed in mathematical terms. They use econometric methods as when they make their models stochastic (eg, replacing variables with probability distributions), but -- in general -- as an approach to find economic regularities (induction) they despise econometrics. They believe the "axioms of choice" are sound enough to support the whole edifice of their economics. In the near future, I hope to expose to you my understanding of the new classical economics school. I gather that you have read Marx's Capital and are familiar with the "value" question. In an unpublished paper, I have shown by reductio ad absurdum that the distinctive line of reasoning followed by neoclassical economics leads necessarily to ... a labor theory of value. I believe that the best labor theory of value available is Marx's (you'll say, "of course"). Unfortunately, my paper takes up the simplest partial-equilibrium model. I believe that my results (not formalized, because I don't know how to formalize them and because I wrote it for a final in a course of History of Economic Thought with Robert Heilbroner, who is not into math) are generalizable to the general equilibrium case in its modern version (as in Debreu). Now a days, conventional economics has assumed that the value question is satisfactorily settled and moved on to refinements. One of the reasons is, probably, the undeniable eloquence and elegance of Debreu's axiomatization of the (Walrasian) general equilibrium model. You'll read about Gerard Debreu's formalization of general equilibrium in "Complexity." So, there is a vast amount of extensions derived from this tradition. One of the strands, which has taken up the "macroeconomic" questions posed by Keynes and the monetarist critics, has become clearly (in my opinion) the dominant school in modern economics in the US. That's the "new classical economics" school. They are adamant about examining any macroeconomic problem in question in a manner consistent with the "micro-foundations" laid out by Debreu, et al. Moreover, they refer to Debreu's static model only as a modern evolutionary biologist would refer to Darwin's work, as a raw precursor. Their models are dynamic in the sense of having "agents" choosing not one-time actions, but entire sequences of actions from a space of functions that determine sequences of prices and quantities. I'll leave it here. J.