Dr. Shinichiro Nakamura (auth.)'s An Inter-Industry Translog Model of Prices and Technical PDF

By Dr. Shinichiro Nakamura (auth.)

ISBN-10: 3540127097

ISBN-13: 9783540127093

ISBN-10: 3642464866

ISBN-13: 9783642464867

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Additional info for An Inter-Industry Translog Model of Prices and Technical Change for the West German Economy

Example text

The functional form used by Saito [1971] is a natural extension of that used by Johansen [1964] where he extended the substitutability assumption made by Johansen between capital services and labor services to all inputs. The functional form used by Saito [1971] is given by n (3ij ( 2 . 1. m. m The models of Leontief [1941), Johansen [1964], and Saito [1971] are all characterized by their use of the CES function introduced by Arrow, Chenery, Minhas and Solow [1961] with additional value restrictions on the elasticity of substitution.

2 Separability as Further Assumptions on Technology We assume that for all n sectors the production function f. •. (X"t) J J F,(H ,(h 1 ,(X 1 "t), ... J •.. , h x +' ,), i,j EI. J . J H " mJ H " sJ h 1J" . •• , h . can be interpreeJ s;J J nJ ted as quantity aggregator functions permitting technical change, and F, can be interpreted as the production J function in terms of aggregates. h" (iEI) is the quan. J tity aggregator function of domestic input i and its corresponding import (n+i th input) used in sector j, 1) The concept of separability was conceived independently by Sono [1945, 1961] and Leontief [1947].

Can be interpreeJ s;J J nJ ted as quantity aggregator functions permitting technical change, and F, can be interpreted as the production J function in terms of aggregates. h" (iEI) is the quan. J tity aggregator function of domestic input i and its corresponding import (n+i th input) used in sector j, 1) The concept of separability was conceived independently by Sono [1945, 1961] and Leontief [1947]. Modern proofs of the functional representation theorems for separable structures can be found in Debreu [1959], Stigum [1967], Gorman [1968], Koopmans [1972] and Bliss [1975].

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An Inter-Industry Translog Model of Prices and Technical Change for the West German Economy by Dr. Shinichiro Nakamura (auth.)


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