From: Paul Cockshott (clyder@GN.APC.ORG)
Date: Mon May 07 2007 - 15:37:19 EDT
Ian Wright wrote: >> I am not convinced here, the existence of a surplus allows economic >> growth, this sort of growth is not possible using unitary matrices, >> so in order to track the growth of capital stocks he needs non unitary >> matrices. > > Sraffa doesn't "track the growth of capital stocks". His theoretical > tools are entirely inadequate for this task. He has a one-time > snapshot of the production of an undistributed surplus. > > But I agree that to model *non-proportionate* economic growth one must > deal with symmetry-breaking technical change, which results in > non-unitary matrices. But this must occur in the context of a dynamic > theory, in which there are adjustment rules, expressed in terms of > differential or difference equations. In such approaches, > out-of-equilibrium the price and real cost matrices are non-unitary; > but in equilibrium they are not. > > von Neumann does track growth of capital stocks in a similar model of ** proportionate ** growth using non-unitary matrices, so I infer that the same thing could be done with Sraffa's.
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