Bolschewismus, Fascismus und Demokratie

Study week on the econometric approach to development planning

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Monograph

Identifikator:: 1713886359

URN:: urn:nbn:de:zbw-retromon-103104

Document type:: Monograph

Author:: Nitti, Francesco Saverio http://d-nb.info/gnd/119470764

Title:: Bolschewismus, Fascismus und Demokratie

Edition:: 1.-10. Tsd.

Place of publication:: München

Publisher:: Hanfstaengl

Year of publication:: 1926

Scope:: 102 Seiten; 1 Portr.

Digitisation:: 2020

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: XI. Die Übertreibungen über den Bolschewismus. Die Ausschreitungen des europäischen Kapitalismus außerhalb Europas. Der Kultus der Gewalt

Collection:: Economics Books

276 PONTIFICIAE ACADEMIAE SCIENTIARVM SCRIPTA VARIA - > Proofs of (F), (G). These propositions express, and pro- vide economic interpretation for, the inequalities (43) if we take T=o0, T*—oo, and if the « candidate-optimal » path (&, 2,) is substituted for (x% 27). This is seen by reference to the definitions (21), (22) of the implicit prices p,, q, of the con- sumption good and of the use of the same good as capital good, respectively. Proposition F represents the first inequality in (43 a), which does not require feasibility of (x,, z,). The inequal- ity in Proposition G is obtained from the fourth member of 43 a) by using (42), the equality through integration by parts. Proofs of (H), (I), (J). Proposition (I) states two condi- tions («), (8), as necessary and sufficient for the optimality of a path (fe, &). We shall first look at the implications of con- dition (B) in isolation. Called the Euler condition in the « cal- culus of variations », this condition is, for a path denoted just (x, z,), 64) gs + pp = w(x) (9°(2;) — e)+ w"(x;) - æ,=0 forall t>o Together with the identity (36) this condition leads to the system of differential equations ES, | (650) 2,=g(2) — =; , wey), 656) æ,=— w(x) (9 (20) — € i | | t>o. for the solution of which we have a prescribed initial value z, Of z, but as yet no given value of x,. Figure 16 partitions "41 Koopmans - pag. 52

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