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Subjectivism and Economic Analysis: Essays in memory of Ludwig ...

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MAURIZIO CASERTAdichotomy. Similarly this dichotomy would not be disturbed bymodels that differ because they are based on different fullycomprehensive theories: shift<strong>in</strong>g from one model to another would bethe result <strong>of</strong> a structural break. On the contrary, the collection <strong>of</strong>models based on different non-fully comprehensive theories willdisturb the novelty-versus-explanation dichotomy. Shift<strong>in</strong>g from onemodel to another will not be the result <strong>of</strong> a structural break, but theresult <strong>of</strong> the evolution <strong>of</strong> one regime <strong>in</strong>to another with<strong>in</strong> the sameongo<strong>in</strong>g process <strong>of</strong> learn<strong>in</strong>g. What would be preserved <strong>in</strong> this case isthe unity <strong>of</strong> the process <strong>of</strong> learn<strong>in</strong>g: the various models would appearas different closures <strong>of</strong> the same general system. Provisionalequilibrium, therefore, turns out to be a quite appropriate notion <strong>of</strong>equilibrium to associate with this k<strong>in</strong>d <strong>of</strong> approach.It is not neglected here that the approach sketched above is just atentative answer to the question <strong>of</strong> the relevance <strong>of</strong> the notion <strong>of</strong>provisional equilibrium. There is at least one other route that wouldbe <strong>in</strong>terest<strong>in</strong>g to take. It concerns the possibility <strong>of</strong> modell<strong>in</strong>g aprocess <strong>of</strong> learn<strong>in</strong>g that is neither determ<strong>in</strong>istic, which would killnovelty, nor evolv<strong>in</strong>g through exogenous changes, which would killexplanation. This l<strong>in</strong>e is not pursued here.The reason why emphasis is placed on an approach based on amultiplicity <strong>of</strong> models lies <strong>in</strong> the fact that there is already anexample <strong>in</strong> the literature, <strong>in</strong> particular, <strong>in</strong> the theory <strong>of</strong> economicgrowth. By play<strong>in</strong>g with endogenous <strong>and</strong> exogenous variables anumber <strong>of</strong> growth regimes is established. Each <strong>of</strong> these regimes ishere re<strong>in</strong>terpreted as be<strong>in</strong>g associated with a non-fullycomprehensive theory. The whole approach is thus re<strong>in</strong>terpreted asan application <strong>of</strong> the notion <strong>of</strong> provisional equilibrium. It is to thediscussion <strong>of</strong> this approach that the rest <strong>of</strong> this chapter is devoted.An open-system approachAn analytical approach that admits <strong>of</strong> a multiplicity <strong>of</strong> solutionswas the subject matter <strong>of</strong> an article Sen published <strong>in</strong> 1963. Thisarticle has become the source <strong>of</strong> <strong>in</strong>spiration for a number <strong>of</strong> growththeorists. What Sen argues <strong>in</strong> this article, which focuses ondistributional problems rather than on growth, is that it is notpossible to satisfy simultaneously an <strong>in</strong>vestment function<strong>in</strong>dependent from sav<strong>in</strong>g, full employment <strong>of</strong> capital <strong>and</strong> labour,<strong>and</strong> the marg<strong>in</strong>al productivity theory <strong>of</strong> distribution.Sen uses the follow<strong>in</strong>g equations:114

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