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10 - Paradoxes of capital and counterintuitive changes of distribution in an intertemporal equilibrium model

Published online by Cambridge University Press:  05 June 2012

Bertram Schefold
Affiliation:
University of Frankfurt
Heinz D. Kurz
Affiliation:
Karl-Franzens-Universität Graz, Austria
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Summary

Two parables

Is the problem of capital theory one of aggregation which only concerns macroeconomic production functions or does it apply to all versions of the neoclassical theory of distribution? The generality of the critique was often questioned around 1970, when one heard the objection: ‘Re-switching poses a problem for the marginal productivity theory of distribution, but general intertemporal equilibrium theory is not affected; Arrow and Debreu have proved the existence of equilibrium.’ The assertion is simplistic, but is still made.

C. Bliss (1970, p. 437), in an editorial comment on an article by Garegnani (Garegnani, 1970), expressed this opinion in the following form:

Prof. Garegnani in his paper makes a claim which, to economists familiar with the modern theory of general equilibrium, will seem rather surprising. He supposes an economy with many capital goods in stationary long-run equilibrium at rate of interest r*. He then asks himself whether, following a change in demand leading to ‘a tendency to positive net saving’, there exists a new equilibrium of supply and demand consistent with the new demand functions. He concludes that no such equilibrium need exist.…Now an equilibrium of supply and demand certainly might not exist, but we know from the work of G. Debreu…that the conditions required for existence are rather weak…these conditions obtain in Garegnani's model.

Bliss then criticizes the fact that Garegnani uses long-period prices where, in the transition, short-run equilibria are involved.

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Publisher: Cambridge University Press
Print publication year: 2000

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