Das Kapital: Der Produktionsprozeß des Kapitals

Study week on the econometric approach to development planning

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Multivolume work

Identifikator:: 1780159447

Document type:: Multivolume work

Author:: Marx, Karl http://d-nb.info/gnd/118578537

Title:: Das Kapital

Place of publication:: Berlin

Publisher:: J. H. W. Dietz Nachf., G. m. b. H.

Year of publication:: 1926-

Collection:: Economics Books

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Volume

Identifikator:: 1780159595

URN:: urn:nbn:de:zbw-retromon-188277

Document type:: Volume

Author:: Marx, Karl http://d-nb.info/gnd/118578537

Title:: Der Produktionsprozeß des Kapitals

Volume count:: 1.1928

Place of publication:: Berlin

Publisher:: J. H. W. Dietz Nachf., G. m. b. H.

Year of publication:: 1928

Scope:: XLVIII, 768 Seiten

Digitisation:: 2022

Collection:: Economics Books

Usage license:: Get license information via the feedback formular.

Chapter

Document type:: Multivolume work

Structure type:: Chapter

Title:: Siebter Abschnitt. Der Akkumulationsprozeß des Kapitals

Collection:: Economics Books

546 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - 28 where v;=g;/v,, and the i-summation takes place over all goods t with g>0 and the j-summation over all goods j with gi =o. It follows from (35) and (36) that v is bounded and hence zr=Nx* - x° is also bounded. When T becomes large with x, and x* remaining unchang- ed, it is seen from (33) that those œ, which are associated with |A;|>I and those B, with |\,,;|>I, as well as «, are shown to become small, because the absolute values of SE Ar. and I+D+ ... +D" are shown to become very large, but zr is bounded. All the other a; and 8; are not very small, but those A; and A, which are associated with them have absolute values less than unity. It can now be seen that when the programming period T is sufficiently long, 2’, well approximates f; £,,; most of the period T. From the definitions of E,,, and (x°) it can be shown that they are proportionate to each other, i.e. Eur1=0 (x°). By virtue of (27) we finally find that in the very long-run programme outputs of industries almost always grow like x, 2 (1+7°) (B,0+1)x°. The turnpike property is thus established. 5. TECHNICAL CHANGE I. In this section we concentrate our attention on the state of the voN NEUMANN balanced growth, the convergence to which nas been discussed in the preceding section. We shall be con- cerned with comparative statical analysis of effects on the von NEUMANN equilibrium of technological changes (or changes in the parameters of the production functions) which may be arranged in the following classes: (1) an increase in F;, all other parameters remaining unchanged, (2) a substitution of b,; for a, accompanying an increase in F; and (3) a converse substitution between b,; and a,; associated with an increase in F,. If there were no changes in prices and the wage rate, 9] Morishima - pag. 18

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