スラッファ結合生産モデルと技術の選択(梶田公教授退官記念論文集)

概要

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We append the conditions of the use of labor and a final demand to the von Nuemann balanced growth model. This kind of extension of von Neumann economy approximates a Sraffa joint-production model in terms of in inequality equations. In the joint production, for instance, a single process operation produces two goods jointly. One of two goods must be overproduced while a negative price will appear depending on a rate of profit as well as technological coefficients. These all indicate “truncation" of a given rectangular system, and then reduce these solutions to squaresystems, due to counting equations and unknowns, as shown in Schefold(1980). In this article, we restrict a field of interest to the efficient region like "g(rate of growth) ≦ r(rate of profit)". Then we can always find such a square system in a von Neumann inequalities system satisfying both quantitiy-feasibility and price-feasiblity. We call this a CMS(cost minimizing system). A CMS is just a Sraffian square system with a joint-production. It is interesting to see that there exists a CMS even in a non―golden growth economy, namely, the case of g<r. It however turns out that an envelope of wage curves w(r)can be discontinuous in a non―golden growth economy. This occurrence, furthermore, has been depicted by a numerical computer simulation by the use of a least system of the full Sraffian joint-production model.
滋賀大学の論文
1997-01-31