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Money and Markets: Essays in Honor of Leland B. Yeager

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Reflections on reswitch<strong>in</strong>g <strong>and</strong> roundaboutness 187(now the University <strong>of</strong> Missouri at Rolla). Because <strong>of</strong> the mathematical orientation<strong>of</strong> that course <strong>and</strong> its focus on the calculus <strong>of</strong> present values <strong>and</strong> <strong>in</strong>ternal rates <strong>of</strong>return, my classmates <strong>and</strong> I were fully aware <strong>of</strong> the possibility <strong>of</strong> multiple <strong>in</strong>ternalrates <strong>of</strong> return. And as a mathematical matter, <strong>in</strong> turns out, the occurrence <strong>of</strong> multiplerates emerges out <strong>of</strong> circumstances similar to those that give rise to techniquereswitch<strong>in</strong>g, a phenomenon that lies at the heart <strong>of</strong> the Cambridge controversies.As eng<strong>in</strong>eer<strong>in</strong>g students, however, none <strong>of</strong> us was aware <strong>of</strong> the broader economicimplications <strong>of</strong> movements <strong>in</strong> <strong>in</strong>terest rates, let alone the supposedly threaten<strong>in</strong>gimplications for neoclassical production theory <strong>of</strong> the paradoxical circumstanceknown as technique reswitch<strong>in</strong>g: a decl<strong>in</strong>e <strong>in</strong> the rate <strong>of</strong> <strong>in</strong>terest could lead to theadoption <strong>of</strong> less roundabout, less capital <strong>in</strong>tensive methods <strong>of</strong> production.In the late 1970s after a switch<strong>in</strong>g <strong>of</strong> careers (from eng<strong>in</strong>eer<strong>in</strong>g to economics), Iwas <strong>in</strong>vited to comment on a conference paper by Lel<strong>and</strong> <strong>Yeager</strong> (1979) titled“Capital Paradoxes <strong>and</strong> the Concept <strong>of</strong> Wait<strong>in</strong>g.” Draw<strong>in</strong>g on Gustav Cassel,<strong>Yeager</strong> dealt specifically with the issue <strong>of</strong> dimensions. If the <strong>in</strong>terest rate is a price, itis the price <strong>of</strong> a factor measured <strong>in</strong> the complex units <strong>of</strong> dollar-years. As will bedemonstrated <strong>in</strong> a subsequent section, this Casselian unit (dollar-years) is thestraightforward result <strong>of</strong> a simple exercise <strong>in</strong> unit analysis – a procedure I had usedmany times over <strong>in</strong> eng<strong>in</strong>eer<strong>in</strong>g applications. Among other <strong>in</strong>sights <strong>in</strong> <strong>Yeager</strong>’spaper was a healthy perspective on the Cambridge controversies, mak<strong>in</strong>g full use <strong>of</strong>the dual dimensionality <strong>of</strong> Casselian wait<strong>in</strong>g. (I now realize that Harcourt <strong>and</strong> hisfellow Cantabrigians would be wholly dismissive <strong>of</strong> Cassel’s <strong>and</strong> <strong>Yeager</strong>’s dollaryearon the grounds <strong>of</strong> its <strong>in</strong>corporat<strong>in</strong>g the verboten value dimension.)My role at the conference was to provide an Austrian perspective on thesetroublesome issues. Dubb<strong>in</strong>g my comment “Wait<strong>in</strong>g <strong>in</strong> Vienna” (Garrison 1979),I leveraged <strong>Yeager</strong>’s critical account <strong>of</strong> the seem<strong>in</strong>gly paradoxical techniquereswitch<strong>in</strong>gexamples by transplant<strong>in</strong>g the logic from the theory <strong>of</strong> capital to thetheory <strong>of</strong> evolution. By construct<strong>in</strong>g an analogously paradoxical species-reswitch<strong>in</strong>gexample (<strong>in</strong> which the survival <strong>of</strong> the fittest is violated at one <strong>of</strong> the switch po<strong>in</strong>ts),I cast doubt on the wisdom <strong>of</strong> Charles Darw<strong>in</strong>. I considered the chang<strong>in</strong>g forms<strong>of</strong> life that we might observe as we travel from the North Pole to the South Pole.If switch<strong>in</strong>g from polar bears to alligators (somewhere between the Arctic Circle<strong>and</strong> the Tropic <strong>of</strong> Cancer) is consistent with Darw<strong>in</strong>ian theory, then switch<strong>in</strong>gback (somewhere between the Tropic <strong>of</strong> Capricorn <strong>and</strong> the Antarctic Circle) is<strong>in</strong>consistent with Darw<strong>in</strong>ian theory. The <strong>in</strong>tent <strong>of</strong> my parody on paradox, <strong>of</strong>course, was to question the mean<strong>in</strong>gfulness <strong>of</strong> the charges leveled by Cambridge,UK aga<strong>in</strong>st the Austrian theory <strong>of</strong> capital <strong>and</strong> <strong>in</strong>terest.Paradoxes <strong>and</strong> frameworksIn the h<strong>and</strong>s <strong>of</strong> Cambridge, UK, the capital controversies thrive on paradox. Iftheoretical framework X entails paradoxical characteristics that seem to undercutthe fundamental relationships on which it is erected, then theoretical framework Xshould be ab<strong>and</strong>oned <strong>in</strong> favor <strong>of</strong> theoretical framework Y. The X, <strong>of</strong> course, isneoclassicism – with due attention to the temporal dimension <strong>of</strong> production

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