IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/24043.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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.

Suggested Citation

  • Mariolis, Theodore, 2003. "Controllability, Observability, Regularity, and the so-called Problem of Transforming Values into Prices of Production," MPRA Paper 24043, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:24043
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/24043/1/MPRA_paper_24043.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Steedman, Ian & Tomkins, Judith, 1998. "On Measuring the Deviation of Prices from Values," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 22(3), pages 379-385, May.
    2. Kurz,Heinz D. & Salvadori,Neri, 1997. "Theory of Production," Cambridge Books, Cambridge University Press, number 9780521588676.
    3. Syed Ahmad, 1991. "Capital in Economic Theory," Books, Edward Elgar Publishing, number 5.
    4. Bidard, Christian & Salvadori, Neri, 1995. "Duality between prices and techniques," European Journal of Political Economy, Elsevier, vol. 11(2), pages 379-389, June.
    5. 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.
    6. Mussa, Michael, 1979. "Empirical regularities in the behavior of exchange rates and theories of the foreign exchange market," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 11(1), pages 9-57, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mariolis, Theodore, 2019. "The location of the value theories in the complex plane and the degree of regularity-controllability of actual economies," MPRA Paper 96972, University Library of Munich, Germany.
    2. Theodore Mariolis & Nikolaos Rodousakis & Apostolis Katsinos, 2019. "Wage versus currency devaluation, price pass-through and income distribution: a comparative input–output analysis of the Greek and Italian economies," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 8(1), pages 1-23, December.
    3. Theodore Mariolis & Lefteris Tsoulfidis, 2018. "Less Is More: Capital Theory And Almost Irregular-Uncontrollable Actual Economies," Contributions to Political Economy, Cambridge Political Economy Society, vol. 37(1), pages 65-88.
    4. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. Luis Daniel Torres-Gonzalez & Jacobo Ferrer-Hernandez & Adrian Martınez, 2022. "On the Long-Run Neutrality of Profits-Wages Ratios in the Determination of International Relative Prices Under Absolute Advantages," Working Papers 2208, New School for Social Research, Department of Economics.
    3. Guillaume Daudin, 2006. "Paying Transaction Costs," Documents de Travail de l'OFCE 2006-14, Observatoire Francais des Conjonctures Economiques (OFCE).
    4. repec:hal:spmain:info:hdl:2441/942 is not listed on IDEAS
    5. Mariolis, Theodore & Rodousakis, Nikolaos & Tsoulfidis, Lefteris, 2006. "The rate of profit in the Greek economy 1988-1997. an input-output analysis," MPRA Paper 35493, University Library of Munich, Germany.
    6. Iliadi, Fotoula & Mariolis, Theodore & Soklis, George & Tsoulfidis, Lefteris, 2012. "Bienenfeld’s approximation of production prices and eigenvalue distribution: some more evidence from five European economies," MPRA Paper 36282, University Library of Munich, Germany.
    7. Theodore Mariolis & Lefteris Tsoulfidis, 2018. "Less Is More: Capital Theory And Almost Irregular-Uncontrollable Actual Economies," Contributions to Political Economy, Cambridge Political Economy Society, vol. 37(1), pages 65-88.
    8. Mariolis, Theodore, 2019. "The location of the value theories in the complex plane and the degree of regularity-controllability of actual economies," MPRA Paper 96972, University Library of Munich, Germany.
    9. Vienneau, Robert L., 2019. "Structural economic dynamics, markups, real Wicksell effects, and the reverse substitution of labor," Structural Change and Economic Dynamics, Elsevier, vol. 50(C), pages 216-226.
    10. repec:spo:wpecon:info:hdl:2441/942 is not listed on IDEAS
    11. Theodore Mariolis & George Soklis & Eugenia Zouvela, 2013. "Testing Böhm-Bawerk’s theory of capital: Some evidence from the Finnish economy," The Review of Austrian Economics, Springer;Society for the Development of Austrian Economics, vol. 26(2), pages 207-220, June.
    12. Mariolis, Theodore & Soklis, George & Groza, Heleni, 2010. "An Input-Output Approach to the Estimation of the Maximum Attainable Economic Dependency Ratio in four European Economies," MPRA Paper 22661, University Library of Munich, Germany.
    13. repec:spo:wpmain:info:hdl:2441/942 is not listed on IDEAS
    14. Mariolis, Theodore, 2006. "A Critique of the ‘New Approach’ to the Transformation Problem and a Proposal," MPRA Paper 24019, University Library of Munich, Germany.
    15. repec:hal:wpspec:info:hdl:2441/942 is not listed on IDEAS
    16. Robert L. Vienneau, 2017. "The Choice of Technique with Multiple and Complex Interest Rates," Review of Political Economy, Taylor & Francis Journals, vol. 29(3), pages 440-453, July.
    17. T Mariolis & G Soklis, 2010. "Additive Labour Values and Prices: Evidence from the Supply and Use Tables of the French, German and Greek Economies," Economic Issues Journal Articles, Economic Issues, vol. 15(2), pages 87-107, September.
    18. Kazuhiro Kurose, 2022. "A two-class economy from the multi-sectoral perspective: the controversy between Pasinetti and Meade–Hahn–Samuelson–Modigliani revisited," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 239-270, April.
    19. Massimo Cingolani, 2015. "Sylos Labini su Marx: implicazioni per la politica economica (Sylos Labini on Marx: economic policy implications)," Moneta e Credito, Economia civile, vol. 68(269), pages 81-147.
    20. Yin-Wong Cheung & Menzie D. Chinn & Ian W. Marsh, 2004. "How do UK-based foreign exchange dealers think their market operates?," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 9(4), pages 289-306.
    21. Renato Filosa, 2003. "Shock monetari e reali, ciclo economico e valore dell' euro," Moneta e Credito, Economia civile, vol. 56(223), pages 295-324.
    22. Keiran Sharpe, 2006. "Effective demand in a stylised Keynesian model of growth," Review of Political Economy, Taylor & Francis Journals, vol. 18(2), pages 173-191.
    23. Christopher J. Neely & Lucio Sarno, 2002. "How well do monetary fundamentals forecast exchange rates?," Review, Federal Reserve Bank of St. Louis, vol. 84(Sep), pages 51-74.
    24. Joseph P. Byrne & E. Philip Davis, 2005. "Investment and Uncertainty in the G7," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 141(1), pages 1-32, April.

    More about this item

    Keywords

    Control theory; controllability; observability; regular production technique; Sraffian theory; transformation problem;
    All these keywords.

    JEL classification:

    • B51 - Schools of Economic Thought and Methodology - - Current Heterodox Approaches - - - Socialist; Marxian; Sraffian
    • D46 - Microeconomics - - Market Structure, Pricing, and Design - - - Value Theory
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • E11 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - Marxian; Sraffian; Kaleckian

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:24043. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.