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

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ENDOGENOUS CHANGEP=Wa 0+rP(K/X)where P, W <strong>and</strong> r have the usual mean<strong>in</strong>g: the price, the money wage<strong>and</strong> the rate <strong>of</strong> pr<strong>of</strong>it, respectively. Assum<strong>in</strong>g P=1 we get:1=Wa 0+r(K/X)with W now represent<strong>in</strong>g the real wage rate. The reason for us<strong>in</strong>g(K/X) <strong>in</strong>stead <strong>of</strong> the capital coefficient a 1is the same as before.The equations presented above can be said to constitute thecommon analytical core <strong>of</strong> any model <strong>of</strong> growth. They imply nomore than the follow<strong>in</strong>g propositions: for any given degree <strong>of</strong>capacity utilisation (a) production can be either consumed or<strong>in</strong>vested; (b) what is not paid as wages is paid as pr<strong>of</strong>its. This means,for example, that only if we know the degree <strong>of</strong> capacity utilisation,the consumption rate <strong>and</strong> the real wage rate can we determ<strong>in</strong>e theaccumulation rate <strong>and</strong> the pr<strong>of</strong>it rate. In other words, we have fiveunknowns, but only two equations to play with. So three additionalexplanations, <strong>in</strong> the form <strong>of</strong> <strong>in</strong>dependent relations, have to besupplied. Provided no further unknown is <strong>in</strong>troduced, the systemwill yield a determ<strong>in</strong>ate solution. At the same time no more thanthree <strong>in</strong>dependent relations can be added to the model, otherwisethe model will become overdeterm<strong>in</strong>ed. A particular model <strong>of</strong>growth, therefore, will be dist<strong>in</strong>guished by what set <strong>of</strong> <strong>in</strong>dependentrelations is added to that common analytical core, <strong>in</strong> particular, bywhat is go<strong>in</strong>g to be exogenous <strong>and</strong> what is go<strong>in</strong>g to be endogenous.This choice is not obviously unconstra<strong>in</strong>ed: if, for example,<strong>in</strong>dependent relations are <strong>in</strong>troduced to determ<strong>in</strong>e the degree <strong>of</strong>capacity utilisation, the accumulation rate <strong>and</strong> the pr<strong>of</strong>it rate, theconsumption rate <strong>and</strong> the real wage rate must be determ<strong>in</strong>edendogenously. In other words, if all actors <strong>in</strong> the economy hadtheories on all the relevant variables, no consistency <strong>of</strong> plans orpolicies could be possible. This implies that any particular choicecan be characterised by what one is prepared to sacrifice <strong>in</strong> order toavoid overdeterm<strong>in</strong>acy.What follows will be devoted to a brief illustration <strong>of</strong> fourpossible alternative choices. In each case emphasis will be placedon the relations that could not be added because otherwise thesystem would become overdeterm<strong>in</strong>ed. Such relations areassociated with the set <strong>of</strong> messages from the economy <strong>and</strong>nature, which are provisionally not <strong>in</strong>cluded <strong>in</strong> the currentlyenterta<strong>in</strong>ed theory.117

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