On the typology of technological changes in a linear production model
Abstract
This paper considers a linear no-joint production model with heterogeneous labour, endogenised in the manner of Morgenstern and Thompson (1976). It aims at i) showing that the condition of Okishio and Roemer for the productiveness of a technological change is locally necessary; ii) to study the effect of a technological change in the purchasing power of wages and iii) propose a new classification of technological changes that is able to account for the effects on employment of substitution between inputs. As a byproduct, one derives a new proof of the general non-holding of the marxian conjecture of the "falling rate of profit" and its independence of the "reserve army".
References
Morgenstern, O. y G. L. Thompson (1976). Mathematical Theory of Expanding and Contracting Economies. Lexington, Mass., Lexington Books.
Morishima, M. (1973). Marx's Economics: A Dual Theory of Value and Growth. Cambridge University Press.
Morishima, M. y G. Catephores (1978). "Value and Exploitation: A New Formulation", en M. Morishima y G. Catephores, Value, Exploitation and Growth. McGraw Hill U. K. Ltd., pp. 22-58.
Okishio, N. (1961). “Technical Change and the Rate of Profit", Kobe University Economic Review, vol. 7, pp. 86-99.
Roemer, J. (1977). "Technical Change and the Tendency of the Rate of Profit to Fall", Journal of Economic Theory, vol. 16, pp. 403-424.
Uribe, P. (1983). "La economía política de Marx a la luz de la economía matemática contemporánea", Economía: teoría y práctica, vol. 3, pp. 79-114.
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