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Controllability, Observability, Regularity, and the so-called Problem of Transforming Values into Prices of Production

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  • Mariolis, Theodore

Abstract

This paper specifies and interprets those direct relations which exist between the dual concepts of complete controllabil-ity/observability (Kalman, 1960), on the one hand, and the con-cept of the regular technique of production (Schefold, 1971), on the other. Specifically, it shows, first, that there is a certain dynamic system for determining labour values, which is connected with the usual system for determining prices of production (à la Sraffa, 1960, Part I) via the z-(Laplace) transform, and, second, that the said system of values is completely controllable when and only when the system of production prices is regular. In view of the above, it could be considered that the z-(Laplace) transform constitutes the solution to the – suitably reformulated – Marxian ‘problem of transforming values into prices of production’. However, on the basis of an economic interpretation of the z-(Laplace) transform, this paper shows, ultimately, not only that such a consideration is erroneous, but also that the supposed ‘problem’ is devoid of economic meaning.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 24043.

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Date of creation: Dec 2003
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Publication status: Published in Asian-African Journal of Economics and Econometrics 2.3(2003): pp. 113-127
Handle: RePEc:pra:mprapa:24043

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Keywords: Control theory; controllability; observability; regular production technique; Sraffian theory; transformation problem;

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References

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  1. Wolfstetter, E, 1973. "Surplus Labour, Synchronised Labor Costs and Marx's Labour Theory of Value," Economic Journal, Royal Economic Society, vol. 83(331), pages 787-809, September.
  2. Steedman, Ian & Tomkins, Judith, 1998. "On Measuring the Deviation of Prices from Values," Cambridge Journal of Economics, Oxford University Press, vol. 22(3), pages 379-85, May.
  3. Bidard, Christian & Salvadori, Neri, 1995. "Duality between prices and techniques," European Journal of Political Economy, Elsevier, vol. 11(2), pages 379-389, June.
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Cited by:
  1. Mariolis, Theodore & Tsoulfidis, Lefteris, 2010. "Eigenvalue distribution and the production price-profit rate relationship in linear single-product systems: theory and empirical evidence," MPRA Paper 43716, University Library of Munich, Germany.

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